Reviews (3)

Outstanding Textbook
I teach statistics at 2 colleges. I use this book. It is outstanding in its clarity and mathematical depth. Students with strong math backgrounds will appreciate the fine logic developed by this book as it explains statistics. The word problems are outstanding and relevant to applications across broad fields of interests. The examples are explained thoroughly. This book is very well priced for the student who is struggling to pay tuition, fees, etc. Highly recommend this book to all serious students.

Not good
The examples are not clear and complete enough. Even my Stats professor said he didn't like the way the book was made. I know Stats involves a lot of word problems but the book is uncessarilly wordy.

Almost Useless
I had to have this book for a college intro to statistics class. I'm not very math inclined, and this book was no help. The 'examples' are not clear and easy to follow.

One of the things that I did find helpful in this book is when they list the steps to use an equation in text, without the numbers. Fortunately, the professor was able explain the equations.

If you are trying to teach yourself statistics:
1.) get a life :c)
2.) don't get this book

If you are getting this as a textbook for school:
hope you have a good math prof. ... Read more

Book Description

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, Third Edition offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because it has successfully brought peace to departments that were split between reform and traditional approaches to teaching calculus. Not only does the text help reconcile the two schools of thought by skillfully merging the best of traditional calculus with the best of the reform movement, it does so with innovation and meticulous accuracy. ... Read more

Amazon.com

Cryptographic techniques have applications far beyond the obvious uses of encoding and decoding information. For Internet developers who need to know about capabilities, such as digital signatures, that depend on cryptographic techniques, there's no better overview than Applied Cryptography, the definitive book on the subject. Bruce Schneier covers general classes of cryptographic protocols and then specific techniques, detailing the inner workings of real-world cryptographic algorithms including the Data Encryption Standard and RSA public-key cryptosystems. The book includes source-code listings and extensive advice on the practical aspects of cryptography implementation, such as the importance of generating truly random numbers and of keeping keys secure. ... Read more

Reviews (86)

A bit out of date, but highly worth reading
Bruce Schneier's APPLIED CRYPTOGRAPHY is an excellent book for anyone interested in cryptology from an amateur level to actually being involved in the development of new encryption mechanisms. Schneier's book begins with a simple discussion of what is cryptography, and then he proceeds through the history of various encryption algorithms and their functioning. The last portion of the book contains C code for several public-domain encryption algorithms.

A caveat: this is not a textbook of cryptography in the sense that it teaches everything necessary to understand the mathematical basis of the science. Schneier does not discuss number theory because he expects those who use the relevant chapters of the book will already have training in higher maths. Nonetheless, the book does contain a wealth of information even for the layman.

One helpful part of Schneier's book is his opinion of which encryption algorithms are already broken by the National Security Agency, thus letting the reader know which encryption programs to avoid. There will always be people who encrypt to 40-bit DES even though it is flimsy and nearly instantly breakable, but the readers of APPLIED CRYPTOGRAPHY can greatly improve the confidentiality of their messages and data with this book. Discussion of public-key web-of-trust is essential reading for anyone confused by how public-key signatures work.

APPLIED CRYPTOGRAPHY was published in 1995 and some parts are already out of date. It is ironic that he hardly mentions PGP, when PGP went on to become the most renowned military-strength encryption program available to the public, although it is being superseded by GnuPG. Another anachronism is Schneier's assurance that quantum computing is decades away. In the years since publication of APPLIED CRYPTOGRAPHY we have seen some strides in quantum computer, even the creation of a quantum computer that can factor the number 15. While this publicly known quantum computer is not at all anything to get excited about, it is certain that more powerful quantum computers are in development and classified by NSA. Because a quantum computer can break virtually any traditional cipher, hiding the message (steganography) is becoming more important than ever. In the era of Schneier's book steganography was unnecessary because ciphertext could withstand brute-force attacks, but with advances in computing power steganography is becoming vital to secure communications. It would be nice to see the book updated with this topic, because cryptography and steganography can no longer be regarded as two distinct fields.

All in all, in spite of its age, APPLIED CRYPTOGRAPHY is recommended to anyone interested in cryptography. It ranks among the essential books on the field, although an updated version is certainly hoped for.

Great fun
This book is readable introduction to real cryptography. It covers a wide range of topics (block and stream cyphers and hashing and random number generation algorithms) in enough depth, and with sufficient theoretical foundation, to give the reader an honest overview of the field. The last section contains code for many of the algorithms and electronic versions are available through Schneier's web site.

Throughout the book Schneier manages to include current references to the inevitable political and legal issues. These references are discussed in an engaging manner and without letting them hog the spotlight. On the other hand, in a fast-moving field like cryptography, they are beginning to get a bit long in the tooth. The book was originally published in 1996 and many of the remarks are noticeably dated (though, perhaps, historically interesting).

Printings before the fifth are also riddled with errors. Fortunately, good errata are available at Schneier's website. They are essential: if you find yourself thinking "That can't be right", it probably isn't.

Read this book first. Without some college level mathematics you may have to skim some of the chapters; still, you can probably curl up on your couch and read it cover to cover. If, afterwards, you get hooked into following up with Stinson's "Cryptograpy", or Menezes "Handbook of Applied Cryptography", don't say I didn't warn you!

Essential reference for any programmer
Over the long term, this is the applied math book that I come back to most often.

The first quarter of the book may come as a surprise. It's not about encryption, it's about secure protocols. This is great stuff. It includes secure key exchange, where you and I can agree on an encryption key in a public conversation, but none of the other listeners know what we agreed on. It includes zero-knowledge proofs, ways of establishing authorization without releasing your identity. It includes lots more, as well. The next brief section discusses different modes for using encryption algorithms, key management, and other logistics.

The third section is what you might have expected: detailed descriptions of many encryption schemes, taking up at least half the book. That includes public key schemes, private key codes, secure hashing algorithms, and all the other details needed for implementing the algorithms. One of the most useful subsections here is a set of pseudorandom number generators. It's not exhaustive, by any means - it omits the Mersenne Twister, for example. Still, it gives a fair set of algorithms, some of which are "cryptographically secure". That means the generator's output strongly resists attempts to find regularities, just the way a truly random sequence would.

The last two chapters give a brief summary of the practice, legalities, and even culture around cryptography.

This won't make you into a crypto professional. Despite its 600+ pages, it barely introduces the world of crypto and certainly doesn't release anything from the "closed" world of government agencies. It will, however, give you useful algorithms, a basic background, and an appreciation of just what real crypto is about. That last may be the most important part. Too many people think inventing a good code is like making love: anyone can do it, and they instinctively do it better than most people. Wrong! Real crypto is not for dabblers, and this book gives some sense of what is involved.

The first edition of "Applied Cryptography" was a landmark text, but the second edition is even better. It's so much better that, if you just have the first edition, you really should upgrade to the second, and I've never said that about any other book.

This book is a labor of love
If you want to buy a book which is a wonderful introduction to cryptography, then you have just found it.
Many books suffer from excessive bloat where the author tries to be everything to everybody.
This book is not one of them.
It's lean and clean and it'll turn you into a mean cryptographic machine.

Some reviewrs seem to berate the author for:
a) losing his job
b) trying to make a buck by writing books
c) not writing a mathematical tome

Well, I have some news for you:
a) Anyone can get laid off from any job at any time - period.
b) All authors write books for money.
c) The author clearly states at the beginning of the book under the heading, How to read this book - 'I wrote Applied Cryptography to be both a lively introduction to the field of cryptography and a comprehensive reference...This book is not intended to be a mathematical text.'

Need I say more.

Only good for beginner
If you have no knowledge on cryptography and want to get some information, this book is suit for you. If you are doing some actual work, it's not a good one. The book does not cover sufficient mathematic knowledge, and contains errors. E.g., the proof of RSA decryption is absolately wrong! Can't beleive! ... Read more

Book Description

Susanna Epp's DISCRETE MATHEMATICS, THIRD EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. ... Read more

Reviews (6)

Good foundation to build upon
I found this text absolutely wonderful for learning / refreshing the concepts - especially formal proofs.

The text is well-partitioned, with lots of examples and practice problems. It covers a few areas very thoroughly, and does it well.

Excellent text!

Almost perfect.....
For anyone having a bit of a problem getting used to formal proofs and number theory, this book is the best I've seen for the beginner, hands down.If you've gotten into one of the top math programs in the country, you will do OK without this book; but as for the rest of us, this book may prevent a lot of grief.It moves slowly and clearly through basic methods of proof and number theory, and it builds confidence quickly. Dr. Epp has written a great book, and the only drawback (which isn't her fault) is the price.If you are pretty good at math through Calculus but got thrown for a loop trying to understand proofs and more formal mathematics, this is probably the book for you (as it was for me).

Used with 2 courses
I took a two course (quarter system) undergarduate sequence spanning 20 weeks of instruction that used this text.I had different professors for each quarter (the author teaching the second semester).

I found the text excellent, making the study interesting, enjoyable, and quite easy.The fact that the author taught the second quarter made no difference; the text stands well on its own.

I am currently teaching at a technical college and am recommending this text for adoption.

Awful,AND THEY JACKED UP THE PRICE $30
Awful, even the prof said so, July 20, 2004
Reviewer: A reader
This book is horrible. I am a graduate software engineering student and took this course at a local university. The prof said that the book is horrible and used his own exaplainations and skipped the books explainations. If I was forced to use the book's explaination and examples I would be S.O.L. The only reason every discrete class uses this book is because there are no other discrete books in competition. If you are a comp sci student they should break discrete math classes apart to discrete for comp sci and discrete from math majors. They should also have comp sci teachers teaching this because math teachers don't usually have a clue how to relate discrete math to computer science.

well-written book w/ enough mathematical rigor
This book is very accessible.Although the myriad examples and descriptions keep the main points hidden a few times, this book is great for self study--something to consider if you have a bad teacher. ... Read more

Reviews (9)

One of the best introductory calculus texts ever
If you want to learn calculus from first-rate experts and also first-rate explainers, you will love this text. The authors have gone to great lengths to motivate and elucidate the ideas behind calculus, and they do so in a brilliant and very readable fashion. They take the reader by the hand and explain, step by step, what you need to know. Countless applications from science, engineering, and economics let you get an idea of how calculus is really used out there in the field.

If this book should be your first calculus text, you may consider yourself fortunate because you will not only get an extremely well explained introduction into calculus, but will also be exposed to a wealth of colorful background information. Many math texts go into dry theorem-proof treatments; everything's there, but the subject does not come to life. You will find this book refreshingly different.

One caveat. You need to bear in mind that this book is an introductory text, though a very complete one that tells you about Lagrange multipliers and vector calculus and triple integrals. If, however, you are an accomplished mathematician looking for post-graduate information on integration in topological vector spaces, you need to look elsewhere. But even then you would be likely, in this excellent and exciting book, to stumble upon some interesting information that you may not have known about before.

Not bad, but needs better explanations
This book was good for understanding the basics of all the concepts, but if you wanted to go more in depth, it was not a very good learning resource. The explanations were not very clear and detailed, and there were also not enough examples. Often, I felt that it would have been much more helpful to have detailed explanations of the more difficult problems.

The One and Only Calculus Text
Finney and Thomas calculus textbooks are perhaps the most popular textbooks in high school and college courses, and for good reason. Finney and Thomas write the definitive text for the subject, and this edition continues their tradition of excellent textbooks. I feel there truly is no better calculus textbook or calculus reference book than one written by this pair. This is the one I grab from the shelf when I need a refresher - and believe me, being a math teacher there are a lot of calculus texts on those shelves!

On the contrary, this textbook is excellent
I was surprised to see all the negative reviews of one of my favourite first-year textbooks. This must be one of the best textbooks I have ever used. I find it very clearly written, wonderfully illustrated, with lots of interesting asides. Although this is one of my first textbooks, I still often refer to it during the course of my engineering work.

This book is quite bad
Having taken AP calc in highschool and found it easy (5 on the ap test), I thought calc. 3 would be no problem. But either I suddenly became stupid or this book is just no help. There are far too few examples, and not enough examples of the tough problems ... Read more

Book Description

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures.GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness.Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory.For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications. ... Read more

Reviews (23)

Standard Topology Text
Most people have a favorite color, fewer people have a favorite baseball team, and even fewer people have a favorite topology textbook. Granted I've only had an extensive relationship with this particular textbook, but given the reviews I've read and other recommendations I've recieved, I would have to go on record and vouch for this book.

When I took topology this text was recommended and our lectures were based on a book (which was required) compiled by the teacher. Often times, we found the lectures/required text to be lacking and were glad to have this text to refer to.

I've seen this book used for both point-set and algebraic topology courses, or some combination of the two. The coverage of point-set is fairly complete while the algebraic section covers introductory material (homotopy, fixed point theorem, lifts, fundamental groups, etc.). The breakdown of the material is approximately 65% Point-set and 35% algebraic thus making it a good choice for someone taking Point-set but personally motivated to glance ahead to some of the algebraic stuff.

Two particular strengths: A thorough introduction to basic concepts of analysis, and, because you don't see many of them around, a good introductory treatment of Algebraic Topology.

A Great Work
Taking a first course in topology could not be better complemented. This clear exposition of point set and algebraic topology is so well written that it could even be used for self study. Motivation from the professor is always helpful, but Munkres actually goes quite far in providing a reason for the topics in question. Furthermore, the examples clarify many of the presented concepts and even show some of the misconceptions a student may have.

Having a course in analysis would certainly make the book flow since otherwise it would just to be a mental exercise rather than an extension of familiar concepts.

The exercises are very well thought out and are meant to be solved by all students given that they have some diligence. They truly help in turning a fog of concepts into concrete understanding.

great!
Not much to add here... there are enough easy problems that I can get the hang of something, but also some really tough ones at the end of each problem section. The proofs and examples in the text are really good guides to doing the problems also. In some sections there are counterexamples for, say, the converse of a theorem which are always really pathological. At the beginning of each section there is some discussion on what to expect, why the stuff is important, what to do with it, etc. Even though I had a really good prof for the topology course I did this book was very helpful out of the classroom.

Excellent Topology Book
My introduction to Munkres was in an independent study of point set topology in my final semester of undergraduate work. A professor assigned me problems from the book, but my learning was largely self motivated. I found that it was an excellent book for independent study. The text was clear and readable and the exercises helped to cement the concepts that are introduced in the reading.

Later at graduate school, Munkres was also used in a topology class at the beginning graduate level. Highlights were taken from the first section (point set topology), and a large focus of the class was on the algebraic topology in the second section of the book. Sometimes I had difficulty following exactly what the professor was doing at the blackboard, but I could always understand what was going on when I consulted Munkres.

I would stress that this is only to be used as an introduction to algebraic topology, as there is nearly no development of homology groups and other algebraic concepts. However, it gives a very good presentation for the fundamental group. As a whole it would be a very good addition to your mathematical library.

Wonderful text in a poor binding
As far as contents is concerned, this is a wonderful textboot for self-studying topology. Full of examples and a bit slow-paced, it describes even the 'clever' proofs (like Tichonoff's theorem) so that it makes their core ideas come naturally. The selection of topics is superb (algebraic topology has a much wider coverage than in the 1st edition).

The only drawback, and it is a serious one, is the binding. For a well-selling book $[...] worth, one could expect a *decent* binding, but the outcome is a *shame*. With time, the covers of my copy got ridiculously bent outwards, quite like if was cooked in my oven (which I didn't, of course). ... Read more

Book Description

The engaging Martin-Gay workbook series presents a reader-friendly approach to the concepts of basic math and algebra, giving readers ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the workbooks are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay enhances users' perception of math by exposing them to real-life situations through graphs and applications; and ensures that readers have an organized, integrated learning system at their fingertips. The integrated learning resources program features book-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5.This book includes key topics in algebra such as linear equations and inequalities with one and two variables, systems of equations, polynomial functions and equations, quadratic functions and equations, exponential functions and equations, logarithmic functions an equations, rational and radical expressions, and conic sections. For professionals who wish to brush up on their algebra skills. ... Read more

Book Description

This dynamic new edition of this proven series adds cutting edge print and media resources. An emphasis on the practical applications of algebra motivates learners and encourages them to see algebra as an important part of their daily lives. The reader-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. KEY TOPICS Chapter topics cover real numbers, solving linear equations and inequalities, formulas and applications of algebra, exponents and polynomials, factoring, rational expressions and equations, graphing linear equations, systems of linear equations, roots and radicals, and quadratic equations.For the study of Algebra. ... Read more

Reviews (4)

Perfect book to reintroduce algebra
I used this book in my first back-to-college algebra class, and it is a great book. Easy to understand explanations and step-by-step instructions made algebra way easier than I remembered! Please note: the companion solutions manual has many wrong answers. The book itself, however, is great. If your class is using this book, you will do well.

best math text I have ever used
I wish he had written all of my text books. Everything is clearly laid out with examples that are broken down into small steps to make understanding even clearer.

Not afraid of Algebra now !
I would really like to thank Mr. Angel for putting together a great book. I have to admit that I was afraid of Algebra until I started studying from this book.

Thanks !

a good supplement
The book was laid out well and establishes a good flow with the reader. Contains helpful drawings and diagrams. This book is well suited for visual learners. ... Read more

Book Description

Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to this edition provide new pedagogy and resources to build reader confidence and help readers develop basic skills and understand concepts.New and revised topic coverage includes linear graphing, slope, equations of lines, and introduction to functions; direct and inverse variation; factoring trinomials by grouping; slope as a rate of change; and interval notation. In addition, Martin-Gay's 4-step problem solving process-Understand, Translate, Solve and Interpret-is integrated throughout. Also includes new features such as Study Skills Reminders, "Integrated Reviews", and "Concept Checks."For readers interested in learning or revisiting essential skills in beginning algebra through the use of lively and up-to-date applications. ... Read more

Reviews (6)

Great student text
This book supports students by offering examples that are clear and easy to understand. I enjoyed using this text as it offered students the opportunity to successfully solve challenging exercises. Math textbooks are extremely difficult to read and interpret. Martin-Gay took her book to a level of simplicity that most math texts simply don't have.

Daylight robbery
I had to have this course for my general education credits at OSU and this book sold for 86.00 USED (I emphasize USED and you'll read why later). Today when book buy-back was open, I was informed that they weren't buying back the 3rd edition because a new one was coming out for fall, the 4th edition. I have just looked thru the book and THERE IS NOTHING DIFFERENT BUT THE COVER.
For this they can stop buying the old books and sell the new one for 100.00 or more NEW?? This is ridiculous; students have no choice but to buy their books for their classess. Then they are told they can't sell them back or if they can, they get the rock bottom price. All because publishers have to sell the newest and best thing of the moment. Just because they change the cover doesn't mean it gives license to jack up prices. Get real!!

waste of $ and time
This book was the required book for my college class. It is nothing short of pure torture. Thank God my professor is excellent!! The examples in this book are very hard to interpret and the problems are not much good either. Also, the answers to the chapter problems in the back of the book contain only the odd-numbered problems. Good luck!

This is a Horrible Book
I am taking math this semester and this is the required text. The bad thing about this book is that it has crappy examples.I was afraid to miss a class because if I did, I would not understand the material. The instructor teaching the class explains the material much better. This book is a big waste of money. If I could, I would give this book zero stars.

A Waste of Money and Time
This book may give clear solutions for the example problems, but the actual study problems are unclear and do not follow the examples very closely. I have spent more time attempting to figure out how to set up problems in homework assignments and searching for the 'solutions' that are needed to solve the exercises than I have actually spent doing the math.

This book not only frustrated me, but my tutor as well. The optional "solutions" book is even worse; it lists the chapters, but not the sections or page numbers.

For review, it probably is not a bad book. It's very condensed. For someone who has not been introduced to the concepts in the book prior to this book, expect to have a LOT of time on your hands if you want to work through this book. ... Read more

Book Description

This the shortest mainstream calculus book available. The authors make effective use of computing technology, graphics, and applications, and provide at least two technology projects per chapter. This popular book is correct without being excessively rigorous, up-to-date without being faddish. Maintains a strong geometric and conceptual focus. Emphasizes explanation rather than detailed proofs. Presents definitions consistently throughout to maintain a clear conceptual framework. Provides hundreds of new problems, including problems on approximations, functions defined by tables, and conceptual questions. Ideal for readers preparing for the AP Calculus exam or who want to brush up on their calculus with a no-nonsense, concisely written book.

Reviews (12)

Buy Swokowski's Calculus instead.
It's hard to believe that this puzzling, error-filled book is in its 7th edition.

I've been using the book for two semesters in a distance learning program. In this setting, where the reader needs to learn from the book rather than from an instructor, the book is inadequate. It's single strength - brevity - doesn't make up for its weaknesses: mystifying explanations, worked examples that omit important steps, and errors. Many times, this book made me laugh out loud when, after literally hours of effort, I finally understood what the authors were trying to communicate. There is no way I could have completed my classes had I not had Swokowski to refer to.

Beyond these weaknesses, the book is loaded with throw-away Horatio Algerisms ("Skill at this, like most worthwhile activities, depends on practice.") and hokey humor ("We have no desire to let this text suffer from the standard ailment of older texts, called 'revisionitis.'") These give the book a dated, musty feel: it's as if you are looking back at how calculus used to be taught 40 years ago.

Finally, six weeks into the first semester, the binding failed, converting the book into an expensive, 900-page, loose-leaf folder. Overall, not a book I enjoyed spending time with.

good but solutions manual is a must have
This is a good book for calculus. I usually go to class and do not undestand the professor because he speaks a different language then come home and figure it out from the book. The solutions manual is a must have for this course unless you have an excellent teacher or tudor. I find it helpful to check my problems half-way through completing them to make sure I am on the right track. And when I do not understand the text book instructions, the solutions manual usually puts me on track.

Classic "Attachable" book
Requirements for all books should be;

(a). being able to feel attachment for.
(b). clearly understandable to readers in the assumed level.
(c). benefitial to buy and read.
(d).[equivalent to (a), (b), and (c)]. unique.

This book satisfies all the above conditions [and (d)]. The style is very accessible to everyone who knows algebra. Math lovers who want to go beyond algebra should buy this book. Now, its particular uniqueness are the followings: mine has been separated into many stapled pages, though I personally like to sort them whenever I touch the book; examples are enough to illustrate introduced theorems. Of course, it doesn't end up with down-to-earth proofs. Wherever that might happen, it says so, and theorems that can not be proven with attainable knowledge are "left for advanced Calculus courses." Consequently, all presented proofs are quite rigorous in understandability.

(c) will follow for appropriate readers.

Good to start with, and will be one of your old friends.

Calculus 8th Edition Varberg, Purcell, Rigdon
This book stinks. Most of the positive reviews came from mathematicians not from students that have to study from this book! My fear of calculus is worsen after using this book. For someone who try to make it though college and working her tails off this book isn't helping. I'm not saying that it have to be easy, but there are so many erros in this book that I wasted my time trying to figured it out how to solve some problem that isn't even correct! Many students told me that have they not been taking calcus before, they probably won't pass the class. This book doesn't give good method of how it goes from point A to point B. There were a number of times where I would stare at the pages, wondering how the book came up with the answers, (was it magic). Another very annoying thing about this book is giving the easiest example problems that it can. This can really screw me over when it gives an oversimplified example for a theorem, and then in the problem set, there isn't any guide of how I can solve it. There were alot of problems that I couldn't even start because this book didn't give me adequate explanations or examples! Bottom line is, I don't think I'm that stupid, but this book really hurt myself esteem.

Perhaps the best out there...but that's not saying much...
I am in something of a unique position to critique this book. You see, I have, due to the fact that I attended different schools and therefore had different teachers for Calculus I, II, and III, been forced to buy three different ... calculus textbooks.

I feel that this book in many ways is the best. Keep in mind, however, that this isn't saying much. For the most part, calculus (and math in general) textbooks are somewhat difficult to learn from. This stems from the fact that we students like to see lots of worked out example in order to "get" it (buy Schaum's outline or REA's Problem Solver for lots of worked examples). In many cases, a calculus book like this will give you, perhaps, one example for a given procedure and leave it to you to deduce the rest.

Still, I like the fact that this book contains the material for Calc. I, II, and III. If nothing else, it saves us some money.

One final comment: as another reviewer on amazon has already noted, the binding on this book is quite poor. I have seen many other students in my class with books in which the pages have started falling out. Perhaps Prentice Hall should provide us with a better binding for a hundred bucks. ... Read more

Book Description

This text is designed to provide an interactive learning experience between the learner and the exposition, annotated examples, art, and the exercises you will find within.The first book on the market to introduce a "learn as you go" approach by including practice exercises in the margins of the text, this best seller uses real-data applications to help apply mathematics to your everyday life. Concepts and skills learned as you progress through the text are revisited again and again in the form of cumulative reviews, skill maintenance exercises, and synthesis exercises to help you retain what you have learned and see how it all relates together. ... Read more

Book Description

A first course in linear algebra for mathematics, engineering and computer science students.

Praised over many editions for its expository style and clarity of presentation, the revision of this best-selling text combines linear algebra theory with applications, and addresses a new generation of students' changing needs.
.
This text can be used in a first or second year 1- or 2- semester course. Calculus is not a prerequisite, but there are exercises, examples, and applications for students with calculus backgrounds; they are clearly marked and can be omitted with no loss of continuity.
... Read more

Reviews (8)

Okay if required, but
The Anton book appears to be the standard in teaching undergrad LA, but I personally didn't like it very much. Part of the problem is due to several misprints in the early chapters. Some of the definitions of basic concepts are confusing at best, wrong at the worst. I found myself relying on the Hubbard-Hubbard "Vector Calculus, Linear Algebra, and Differential Forms" to get through the course. The explanations were more concise and easier to understand. If you'r eteaching yourself, Hubbard-Hubbard is the way to go.

Great textbook
I used Anton in my linear algebra class a few years back and I have referred to it often since. Anton's approach is to introduce the notation and basic tools, i.e. vector and matrix arithmetic, within the intuitive geometric settings of the Euclidean plane and space. Once the basic concepts of Euclidean vector spaces have been mastered, Anton moves into abstract vector spaces, linear transformations, and eigenvectors. One chapter is spent on complex matrices, and another chapter deals with numerical issues and least-squares applications. The only topic which is noticably missing is the singular value decomposition, but other than that, Anton is a remarkably complete text. The definitions and theorems are clearly presented, along with the motivating intuitions. The exercises at the end of the chapter sections are a nice balance between computational and theoretical problems. Overall I highly recommend Anton as a first linear algebra text.

8th edition is the best yet
I've been teaching out of Anton's Linear Algebra books for 17 years, and I'm especially impressed with the 8th edition. Difficult concepts are visited again and again in increasing levels of abstraction, easing students into them. I'm amazed at the organization of topics. I'm able to deliver punch lines arrive several times a day: "Now we see why we learned this yesterday. Here's something we saw a while back, remember this?"

As always, the writing style is clear and the exercises are well-chosen. I can't imagine teaching linear algebra with any other author.

Great Linear Algebra text
This is the best introduction on linear algebra. The book goes form the arithmetic of matrices to complex vector spaces. It covers every thing at a basic level and it doesn't leave out anything important. What I like most about the book, is that it's examples are both geometric and algebraic, so it appeals to many people with different thinking styles. The book really is an intro to modern math, because it has very UNDERSTANDIBLE PROOFS, and you lean information that can be later applied to more advanced versions of algebra. You don't really need and previous knowledge to understand this text. For those who can't wait after calculus 3 to learn linear algebra, I recommend this book.

This book is a jewel of the didactic
This book is a jewel of the didactic. It constitutes one of the best introductions that I know on the Elementary Linear Algebra. If you don't know anything about Linear Algebra, neither you have an enough background as to begin to study this matter, then this it is the book that you need. The book is self contained and the only thing that you need to study it it is elementary algebra, in which is included simultaneous lineal equations with two or three variables and its graphic solution. With that it will be enough so that you understand the book. Understanding this book will be able to try with other texts more advanced as that of Shilov, Mirsky and Noble. The text constitutes an elementary introduction to the topic, but I assure you that it is one of the best. In each part, Howard assumes that your you don't understand anything and then it selects examples that clarify the point in discussion. As it is natural, you won't find anything of rigor along the whole book: the theorems demonstrate them in intuitive form, in such a way that the student has very clear the content of the theorem. Then it enunciates and demonstrates it with the simple steps of a ordered demonstration already done and fixed in the mind of the student. It is a book written exclusively for the student in general, it doesn't for students of Engineering or pure sciences who surely found it too easy.
The book is full with exercises whose answer found at the end of the text. The last chapter will be very interesting for those students that want to be interested in the numeric analysis. ... Read more

Book Description

Renowned for thoroughness and accessibility, this book offers a challenging and enjoyable study of linear algebra that is infused with an abundance of applications. Balancing coverage of mathematical theory and applied topics, concepts are explained with precision so that all readers can understand the material. Worked examples are heavily integrated into each chapter. The book stresses the important role geometry and visualization play in understanding the subject.

Reviews (13)

Proofs: Simple, but not rigorous
Background: Electrical engineering grad student. Lots of math. Prior linear algebra course.

Reason to read book: Wanted a text to review proofs of many of the important theorems that are used in the matrix formulation of quantum mechanics. Stuff like why Hermitian matrices provide orthogonal eigenvectors and real eigenvalues. Also, wanted a review of vector spaces, basis sets, etc. That means pretty much most of the book.

How much of the book I've studied: Most of the proofs in the entire book. Some of the worked problems. None of the exercises.

Analysis: The book provides a comprehensive list of the useful proofs. However, the proofs are simple but not rigorous. They give you good insight on why the theorems are what they are, but they don't remove all doubt as to their validity.

Good Book for the Most Part
Overall, I thought was well laid out. I would probably like to see more practical application of linear algebra to real world problems.

don't waste your money
If you buy this book then get used to phrases such as: "It can easly be seen that...." and "It can be shown that..." and let us not forget everyone's favorite "...which is left as an exercise for the reader." You will see at least one of these phrases in every section (yes section not chapter). ... For [the money] I think Leon could work out just 1 example in detail. Fortunately there is enough information on the internet you won't need to read this book, instead just carry it around so your professor thinks your using it (although it makes a great door stop when you done with the class). Overall I think that 1 star is too much for this but Amazon won't let me give it 0 stars.

Starts Off Great, Wears Down
My background: Computer science / mathematics undergraduate with experience in calculus, discrete mathematics, and differential equations

Leon's text on linear algebra isn't bad, but there is room for improvement. Chapters 1, 2, and 3 do a good job of introducing the basic concepts of linear algebra, including matrix row operations, determinants, and linear independence. The book seems to lose clarity beginning in Chapter 4. The concepts become more abstract and Leon's notation interferes with the ability to clearly understand what he is talking about when it comes to linear transformations and issues regarding R(A) and orthogonality. Very important results are frequently understated as well. In a few cases, there aren't enough examples to go around - especially in Chapters 4 and 5. It is ironic compared to the relative overexplanation found in Chapter 1, for example.

Another qualm I have with this text is the chapter review sections, which are limited to MATLAB exercises and simple true/false questions. I think these sections need actual math problems devoted to them that force the reader to combine and use concepts learned in the preceeding chapter, rather than overly simple true/false questions.

On the other hand, the homework problems the book offers for each section are fairly worded and interesting to solve. There is an answer section, of course, for the odd numbered exercises. Also, there are several "Application" sections that demonstrate how linear algebra is used in real-life scenarios that provide a relevance to this study, just so the casual student doesn't wind up wondering "Where am I ever going to use this?"

The book is just okay, but it needs a really good professor to go along with it and elaborate on the concepts Leon either understates or fails to present clearly. On a side note, my book is only two years old (I bought it like new) and the binding is already falling apart.

Flawed, but conceptually complete.
I used this Linear Algebra text in an undergraduate Linear Algebra course. Before I get to the problems of the text (and there are numerous) let me just say that it is conceptually complete, in that every topic in linear algebra is given very close attention. (Eigenvectors/Eignenvalues were given a very elegant treatment, as an example) All the concepts are well organized and also some applications are thrown in to the mix.

With the above statement, it seems that this book has everything going for it to be a fantastic linear algebra book. Unfortunately, it hits some pitfalls. Although its conceptually complete, it is very dense. ( a common math textbook pitfall) Places where explanations could have been expanded quite a bit are not. Being a very dense math textbook leads to the next problem. Leon's notation is unneccasarily formal for an introductory linear algebra text. It is quite fustrating getting used to notation before you get to the key concepts. (His notation is not often explained well enough.) Although I got passed the overlyformal notation and got to the meaty concepts, I can completely sympathize with others who get stuck on it and have absolutely *NO* clue what the author is trying to say. Let's face it, not everyone taking Linear Algebra is a math major (I for one am a physics major and there were quite a few engineering majors in my class.)

Another pitfall of this book is the absolute decrepid writing style. Do not laugh when [someone] states that this book is boring and well "Just not fun..." because that statement is the truth! The writing style has a very sleep-inducing tone, which is a shame because linear algebra is a very important topic and an interesting one. (With far reaching applications.) It is very difficult to describe... get through the book without much trouble and you will see what we mean. The only concrete example I could think of is the mind-numbingly dry explanation of vector spaces in the third chapter.

In closing, this book does not need much to become a great linear algebra book. All the concepts are there, so the hard part is done. Hopefully Leon in the 6th edition will clean up the notation a bit and add some life into the explanations and writing style, this book could be an undergraduate linear algebra standard. ... Read more

Reviews (6)

EXCELLANTO
I HELPED MY SON WITH HIS HOMEWORK AND PERSONALLY FOUND THAT I WAS IMPRESSED WITH THIS BOOK. VERY GOOD BOOK, VERY IMPRESSIVE LAYOUT.

Thorough but overkill
I absolutely agree with the review by Stephen Armstrong below. It doesn't take 50 - 100 problems for the average student to grasp a simple, basic algebraic concept. I see no reason for this book to be over 700 pages; the authors clearly ignored the need for simplicity and relevance in presenting their material. Of the several books I've used for algebra, this one has the most distracting presentation. It's hard to figure out what really matters and where the student should focus. And it's hard to discern how the concepts presented relate to each other. It seems that in the authors' desire to be thorough, they lost perspective.

A Terrific Sequel to Beginning Algebra.
After having completed a course in Beginning Algebra, the next textbook, Intermediate Algebra really smoothed everything out. The topics it covers are basically quite the same as Beginning Algebra (same author), but it goes into deeper depth that are peasy to pick up (especially with the examples in the start of each section). One thing I particularly like about Lial and Hornsby mathematics textbooks are the summaries they provide at the end of each chapter you complete. They give a concept covered in the chapter, a couple of examples, and therefore serve as a revision page before a test or exam.

Helps a lot
This is a terrific book. It makes me feel that I shouldn't bother to attend my math class in school. The book explains concepts clearly. You don't even need a mentor. You can manage the book all by yourself, for the book itself is your teacher, your mentor. There is an abundance of exercises for you to practise. They never run out of it. It makes you feel that math is fun. It is the simply the best way to learn math. The best part of the book is the review after every chapter. I can learn back whatever I've missed. I'm an 8th grader only, but I can still manage the 2nd year of high school algebra. The book has helped a lot. The book is perfect for talented 8th graders.

A problem-centered math text...
Lial and Hornsby have written a college-level intermediate algebra text that demonstrates the best and the worst of US math instruction. On the positive side, this is a lavishly produced book: great detail, lots of graphs and clearly ordered explanations, excellent colors, nearly 1 1/4 inches thick with what they consider the 11 essentials of intermediate algebra (listed above in the Amazon.com notes). The books comes from Addison-Wesley-Longman, from which you can purchase an integrated set of videos and CD-ROM of testing problems (not used or viewed for this review). Theirs truly is a work of love. On the other hand, they represent the most tedious part of American math instruction, which is interminable problems--5,921, to be exact--which roll through the book, section after section. Their extraordinary work makes me wonder how any college math teacher in a 3-credit course could hope to get through 2% of the problems in a semester. Many of the problems are repetitious, going over the same features (of problem solving) again and again. I fear that only the grinds and math gearheads will appreciate this.

Even more worrisome, however, is the absence of conceptual integration, other than that these 11 topics are "important" if you want to go to advanced algebra or college geometry. The one pertinent conceptual comment was that polynomials are to algebra as numbers are to arithmetic, but the authors never followed up on this. It is not clear, for example, why inverse functions are related (or not) to conic sections. The handling of systems of linear equations borrowed liberally from matrix algebra, but the authors chose not to demonstrate more general solutions and stuck with solving the problems "manually."

More than concepts in math, American students know how to solve problems, which presumably is why this book, reflecting its intended audience, is so problem-saturated. Even so, when we test our best students against the best from other countries, we do not fare too well. Perhaps it is because we ignore the structure of the thinking in math, and substitute problem-solving instead. The result is that attentive students will know the notes, and some will know the notes quite well, but not the music. ... Read more

Book Description

This text is designed to provide an interactive learning experience between the learner and the exposition, annotated examples, art, and the exercises you will find within.The first book on the market to introduce a "learn as you go" approach by including practice exercises in the margins of the text, this best seller uses real-data applications to help apply mathematics to your everyday life. Concepts and skills learned as you progress through the text are revisited again and again in the form of cumulative reviews, skill maintenance exercises, and synthesis exercises to help you retain what you have learned and see how it all relates together. ... Read more

Reviews (3)

Review from a college student
I really did not like this book. There is not enough examples to go along with the problems that you have to do. Most everyone in my class had the same complaint. The workbook was not required, but I don't think you could do the work without it. I wish the college would get a different book. I am also sick of Marvin Bittinger thinking everyone is interested in working out because he is. Get a clue Marvin!

Great, thourough, easy to learn.
It is a great source to learn algebra a recommendation would be to use the Introductory to Algebra by the same Martin L. Bittinger or have already learned Algebra I, Because this book is really fairly advanced for younger students and is covering mostly Algebra II information.

>>> online college credit course using this text <<<
This book is comprehensive and ideal for self-study. At Bakersfield College we have been using this text in our online course, Intermediate Algebra, for the past two years. If you're interested in taking this course, e-mail me and I'll send you further information. (We'll be changing to a new edition of this text in the future) ... Read more

Book Description

The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein.

Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.

Calculus For Dummies is intended for three groups of readers:

• Students taking their first calculus course – If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.
• Students who need to brush up on their calculus to prepare for other studies – If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.
• Adults of all ages who'd like a good introduction to the subject – Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth.

This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:

• Real-world examples of calculus
• The two big ideas of calculus: differentiation and integration
• Why calculus works
• Pre-algebra and algebra review
• Common functions and their graphs
• Limits and continuity
• Integration and approximating area
• Sequences and series

Don't buy the misconception. Sure calculus is difficult – but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off – it's simply the next step in a logical progression. ... Read more

Reviews (4)

One glaring weakness
I would give this book 5 stars except for one omission that I find unbelievable: There are no practice problems! Not a single one! Each chapter of the book should have at least a couple problems for the reader to work. This omission mars an otherwise splendid review of the subject.

Refreshing Approach to the Fundamentals of Calculus
I have been using "Calculus for Dummies" to review my Calc I and Calc II basics. I am surprised and pleased with how well Ryan's descriptions and explanations have allowed me to better understand the underlying principles in Calculus. If you are serious about the groundwork and maintenance of your mathematical skills, you know that it is frequently beneficial to return to the basics for those fundamental concepts which can occassionally grow fuzzy with time. If you can find a text that treats the material in a new and entertaining way, the review can be enjoyable as well as instructive.

I highly recommend Ryan's book. He limits complexity (and warns you when he is doing so) to keep the material accessible. For the ultra rigorous analysis, there are many college texts available. But if you are new to Calculus, or looking for a different and refreshing approach to the basics, you will find "Calculus for Dummies" a wise investment. If you are taking Calculus in school and are having some problems understanding the material (and who hasn't?), this book will help you "decode" some of the more difficult concepts. I am sure that it is destined to become a valuable catalyst text on many a struggling math student's desktop.

Excellent Book
As a freshman college student, I purchased this book to help me understand what my awful professor and text book were trying to say. This book does a fantastic job at bringing calculus "down to earth", to quote Mark Ryan. It eliminates the pages of proofs my text book had and cuts right to the chase, explaining calculus in plain English. This book actually TEACHES calculus in a fun way.

This book is worth every penny if you are a student. If you're a beginning calculus student, you will probably get more use out of this book than your text, as did I.

Excellent calculus companion for high school and college
In the tradition of the "For Dummies" series, "Calculus For Dummies" offers its readers with the advantage of clearly understanding critical ideas in calculus.

The book starts off with a refresher for algebra and such and then eliminates any fears of limits the reader might have. The fundamental idea of a limit (without the advanced delta-epsilon notation) allows the reader to thoroughly understand the backbone of calculus.

Differentiation is treated in detail with examples in power rule, chain rule, quotient rule, and applications (which the reader will have absolutely NO problem with after reading this book).

The concept of integration is explained so that the reader may see the fundamental principles of infinite summation of rectangles of miniature area. "Calculus For Dummies" has a strong presentation of integration techniques (especially integration by parts and the LIATE method pneumonic device) as well as trigonometric, volume and surface area, substitution, and indefinite integration.

Lastly, "Calc for Dummies" concludes with a discussion of infinite series. The book explains each of the 10 methods covered and also offers tips as to which method to use for a specific occasion.

All in all, a tremendously well-written book for those taking Calculus for the first time, those who need a companion for their current calc class, as well as those wishing for a refresher. "Calculus For Dummies" is very readable and allows the reader to understand the beautiful language of calculus without the rigors of proofs most calc textbooks have. ... Read more

Book Description

The Angel Series continues to offer proven pedagogy, sound exercise sets and superior user support. An emphasis on the practical applications of algebra motivates readers and encourages them to see algebra as an important part of their daily lives. The user–friendly writing style uses short, clear sentences and easy–to–understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions continue to place a strong emphasis on problem solving. Real Numbers; Solving Linear Equations; Formulas and Applications of Algebra; Graphing Linear Equations; Exponents and Polynomials; Factoring; Rational Expressions and Equations; Functions and Their Graphs; Systems of Linear Equations; Inequities in One and Two Variables; Roots, Radicals, and Complex Numbers; Quadratic Functions; Exponential and Logarithmic Functions; Conic Sections; and Sequence, Series, and the Binominal Theorem. For any professional needing to apply algebra to their work.

Book Description

This extremely readable, highly regarded, and widely adopted text present innovative ways for applying calculus to real-world situations in the business, economics, life science, and social science disciplines. The text's straightforward, engaging approach fosters the growth of both mathematical maturity and an appreciation for the usefulness of mathematics. The authors' tried and true formula — pairing substantial amounts of graphical analysis and informal geometric proofs with an abundance of hands-on exercizes — has proven to be tremendously successful.Functions, derivatives, applications of the derivative, techniques of differentiations, exponential and natural logarithm functions, definite integral, variables, trigonometric functions, integration, differential equations, Taylor polynomials and probability.For individuals interested in an introduction to calculus applications. ... Read more

Reviews (4)

Good Text for Basic Calculus Concepts
Contrary to what some other reviewer have claimed, I found this book quite helpful.It provides the basic concepts of Calculus such as limits and derivative rules and applications, exponents and logarithms, integrals, double variable calculus, trig functions, techniques of integrations, an introduction to differential equations, and even series.

I found this book very easy to use.It presents the information in a very terse, straightforward manner.Basically, it cuts down on the mathematical theory and allows students to solve the important equations quick and easy.Instead of being lost in complicated definations of derivations, I was able to quickly find derivations and discover their uses in functions.

This is the book that I used for my "Calculus for Social and Natural Science Majors" course.Personally, I feel that I learned much from this book.I never took a Calculus class in high school and wasn't the most mathematically inclinded so i was sure that Calculus was going to be tough.This book made it really easy to understand and somehow Calculus turned into one of my easiest classes.

This book, however, is not for those who plan on taking higher level Calculus classes.It has most of the fundamentals, but not more advanced topics.Also, several topics are presented out of order from a regular Calc 1 class (so I'm told).For instance, calculus of several varibles--a topic usually covered in a third level course--occurs before techniques of intregration.

The book is quite suitable for a Business/Natural Science Calc class, as it was intend