Book Description

This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time. ... Read more

Book Description

Daniel Zelterman applies his extensive SAS knowledge and biostatistics experience to illustrate how to use the GENMOD procedure to analyze log-linear models for categorical data. His wide variety of examples illustrate the statistical applications PROC GENMOD can perform. He thoroughly describes the models, provides real data examples, supplies the necessary code, and explains the output from GENMOD. The topics covered include: the Pearson goodness of fit statistic; tables of categorical data; a review of log-linear model methods for rectangular tables of categorical data; extrapolation methods to estimate population size; new models and distributions for statistical analysis of data; and issues in power analysis and estimating sample size in experiments. The models take advantage of the wide class of generalized linear models and use real data from pharmaceutical studies and epidemiology, wildlife, and government statistics. Statisticians who have a basic under! standing both of SAS and the analysis of categorical data will greatly benefit from this book. The discussion of each model and method emphasizes statistical aspects, such as interpretation of results, rather than programming skills. The numerous examples are used to motivate the theory and methods as they are discussed. ... Read more

Book Description

This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas. ... Read more

Reviews (1)

Review
John D. Blanton did a good job in translating Euler's work on analysis of the infinite. Although I did not read the original copy the book, I could still receive the charm of Euler from the translation. Euler wrote this book because he realized that many mathematics students were lacking of the knowledge of analysis of the infinite. He, as a great master of mathematics and educator and with all his passion, presented this timeless masterpiece to all of us. I recommend this book to every students who want to excel in mathematics! ... Read more

Book Description

Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag). ... Read more

Book Description

The simplicity of the language, the organization of the ideas, and the conciseness with completeness are this book's main strengths as it introduces abstract algebra. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Theorem proofs do more than just prove the stated results, they are examined so readers can gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. ... Read more

Reviews (3)

Excellent
This book had some great examples. The examples help me to understand abstract concepts. The proofs were very well constructed.

A wonderful text.
Concise and wonderfully coherent, this book isn't filled with "fluff" such as dumb examples and spoonfed advice. Clearly targeted for a mathematically inclined class of undergraduate modern algebra students, you will find the immense amount of knowledge and the price of this book to be absolutely pleasing.

okay
All the material here is very thorough, which leaves very little unclear about the material. I do have one hang-up with this text: the problems are uninteresting. Nearly all of the problems are trivial. The text to consult: "A Book of Abstract Algebra", Charles Pinter ... Read more

Book Description

Advance Praise for The Jungles of Randomness "Ivars Peterson is the clearest expositor of mathematics today. His new book takes a lively book at one of the hottest areas of mathematical research." —Paul Hoffman former Editor-in-Chief, Discover magazine "Ivars Peterson is the heir-apparent to Martin Gardner as the philosopher-king of mathematics for the public. The Jungles of Randomness is the brightest jewel in his crown so far. Another terrific book." —Julian Simon, Economist "In The Jungles of Randomness, Ivars Peterson finds a fascinating collection of circumstances where chance intervenes in our lives and in the world around us. Every reader, regardless of background, is bound to find something new and interesting in this book." —Robert Osserman author of Poetry of the Universe "When readers accompany Ivars Peterson on his expedition into the jungles of uncertainty, the one certain thing is that they will enjoy the trip." —William Dunham author of Journey Through Genius A Selection of the Book-Of-The-Month Club Praise for The Mathematical Tourist "A top-notch survey … far from being old and musty, mathematics is alive, vital and vibrant, full of unanswered questions that Peterson makes accessible to non-experts." —Los Angeles Times "He plumbs such delicious arcana as knot theory, cellular automata, and surgery on manifolds. One can learn a lot from this book." —The New York Times ... Read more

Reviews (4)

Popular Mathematics
In this work of popular mathematics, Ivars Peterson explains the phenomena and regularity underlying seemingly random occurrences in our lives. Dry wit and keen understanding of mundane episodes provide an impressing dissection of how even the most chance events are in fact due to phenomena that, though easily understood, interact in such complex ways as to be beyond our comprehension--producing the supposedly "random" results we perceive.

As with many attempts to popularize science, this book is very light on theory and equations, instead explaining the practical significance of its subject. However, it does provide many names and enough theory to serve as a jumping point for further investigation into such areas as chaos, fractal geometry, information theory, and more.

Plagerized hogwash
Popular science books seem to be in vogue-- great for any legitimate scientists that sincerely want to get something across to "lay" people. But hacks gathering together a bunch of stuff to amaze us is worse than Ripley.

I wouldn't pass this book on to to a 4th grader.

Since you are interested in only raves, I am sure that this missile will quietly disappear

Infinitely Entertaining....
....not evvybody shares my love of mathematics, statistics, games and chance. People say folks like me are a strange lot, hence, I have been relunctant to put many mathematical and game related book reviews in my repertoire. This, however, is an exception to the rule..."math book = dry reading". It shows how probability and stats and random number generating can apply to evvyday living.

Before I go on, I have the urge to type these:

"Ah, but to all the other monkeys in the world, maybe the ape sitting at the keyboard DID recreate the Gutenberg Bible."

"When travelling in Europe, be wary of non-bottled potable water and, apparently, buy one get three free cheeseburgers."

There, I've gotten those off my chest. What do they have to do with this review? Well, Peterson here deals with odds--Odds and their contexts, like in coin flips and dice outcomes and hot hands for pro basketball players and random number generators on slot machines and such. The Chapters on Brownian Motion entitled "Trails of the Wanderer" and "Lifetimes of Chance" are great because he talks about the lottery and winning the lottery, how stocks in the stock market have some type of Brownian motion, magnets, dominoes, roulette wheels at casinos--you know all the interesting things a man ought to be attracted to, described in a punchy, easy to digest manner...

Each chapter is forwarded with a quote or poetry verse gleaned from classic literature, for example, the Chapter "Complete Chaos" has a part of a canto from Milton's "Paradise Lost".

Also the Color Plates show some awesome sights like the one depicting vibrations on the membrane shaped like a fractal snowflake and the visual representation of the output from a high speed random-number generator.

A few lay types may be put off by his mentioning of some musty mathematician or statistician here and there but, to his credit Peterson does not try to lay some indecipherable equation on the reader when he describes what said math or stat person is to his basic text. Or, in other words, no need for math anxiety unless you're generally anxious about a lot anyways...this ain't rocket science, people!

Well, actually, yes it could be, but you would not know it from the way Peterson has presented it in this fabulous read....

A Crowd Pleaser!
I can't believe I'm the first to reviw this book! I have found the information and references in this book to be very good. In most cases Ivars Peterson is one of the best new science and mathematics writers that I know of! I'm interested in chaos and fractals, but mathematics also is in this book. There seems to be a little of everything. There is even work by Mandelbrot that I hadn't read about. I can only fault that he didn't put in enough of the equations and code to produce the examples. Also a glossary of terms would be helpful. But it is a very good buy in paperback! ... Read more

Reviews (1)

Why not Dover?
I wish this out-of-print book would be in the collection of Dover. Now it's hard to find it, but still many physics & math people are looking for it and discussing about it.

Geroge Mackey, Hermann Weyl, and John von Neumann are the mathematical foundations of Q.M. ... Read more

Book Description

This highly successful and scholarly book introduces students with diverse backgrounds to the various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with careful proofs and scientific background.An in-depth treatment of the topics of numerical analysis, a more scholarly approach, and a different menu of topics sets this book apart from the authors' well-respected and best-selling text: NUMERICAL MATHEMATICS AND COMPUTING, FOURTH EDITION. ... Read more

Reviews (1)

Disappointing at best
The book was a major disappointment. I am glad that I did not purchase it for my class, but instead borrowed it. The ordering of topics and emphasis choices never seemed to make sense to me. The layout throughout most of the text is like one long, run-on sentence. The underlying structure of numerical analysis never developed and I was left swimming in meaningless details while the basics were short-changed by an over abundance of specialized algorithms. Perhaps the text's curriculum could be saved by a capable professor, but alas my professor was just as scatter-brained as the text. More pictures would also have been helpful. A replacement text I recommend, which covers the first, matrix theory portion of this book, is David S. Watkins' Fundamentals of Matrix Computations. ... Read more

Book Description

For students in mathematics, engineering, and physics. Includes comprehensive coverage of complex numbers, set theory, mapping, functions, Cauchy-Riemann conditions, power series, Taylor series, Green's theorem, Laurent expansions, singularities, residues, transformations, and numerous scientific applications. ... Read more

Reviews (2)

You need this book for complex variables
Text books on complex variables DO NOT HAVE ENOUGH WORKED PROBLEMS. This 900+ page softcover does. If you study "Visual Complex Analysis" by Needham (one of my favorites) this will help you do the exercises. The 24 chapters cover everything you would find in a one year course and then some. Each chapter is just one solved problem after another. I found a few misprints but nothing serious. You won't find a better resource and cheap too ! Highly recommended.

Another Excellent Resource!
This book is essential for the study of Complex Variables, and it is compatible with other texts on the subject. The sections on how to solve complex contour integrals and Laurent Series are especially important since most texts do not provide enough worked examples to give the student an idea of the underlying patterns involved. The section on the use of Residue theory to solve real valued integrals is also very well done. "Complex Variables Problem Solver" is another fantastic product from the folks at REA. ... Read more

Book Description

In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood, and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises. ... Read more

Reviews (4)

Very good exposition, great problems
Real analysis is a genre with an established classic (Rudin) and a plethora of available books and resources. Unfortunately, most analysis books cost a great deal of money so the average reader will only purchase one or two texts. In evaluating which book(s) to purchase two questions should be asked:

1.) Why purchase this book rather than the classic of the genre?

2.) Is this book appropriate for me?

So why buy this book rather than Rudin? It has great exposition (as does Rudin), very well chosen problems (as does Rudin), but Pugh manages to improve on the standard by supplementing his written explanations with diagrams and pictures that Rudin mostly lacks. Additonally, the price stands at something less than half the cost of Rudin's book.

Who is this book appropriate for? This text delves into the topological underpinnings of analysis. It is not an "analysis-lite" textbook a la Ken Ross's Elementary Analysis. It is a rigorous treatment of the subject, and it has a comprehensive feel to it, covering topics like Lebesgue measure and integration, and multivariable analysis in addition to the normal topics one would expect. In short, it is appropriate for somebody who is seeking the challenges and rewards of a full treatment of what for many is a difficult subject.

It is a very good book that does not shy away from difficult material that no amount of explanation or good writing will make easy to learn, but of all the analysis books I've seen, this comes the closest.

6 star
Great book, u will learn a lot, including basic topology, multivariable analysis beautiful and elegant proofs that are pricise and simple, easy to understand. Taiwan is independent

A thorough text for an advance undergraduate
Having taken Pugh's honors analysis course, in which he used this book, I can strongly reccommend it to any student interested in the subject of analysis, especially students seeking to learn more than the average introductory real analysis book contains. Pugh's book contains advanced theorems and topics not often found in undergraduate level texts. Additionally, the problems are well thought out and tend to be of a high level of difficulty.

excellent
This is one of the best books on introductory real analysis that I have looked at. Before I found this book, I have been reading another work on real analysis which was also very good, but was far less comprehensive. Not only does this book present a precise exposition of concepts and theorems, it also gives illustrations to better explain the ideas and plenty of excercises at the end of each chapter. For example, the author does not only say what a "covering" means, but he gives an illustration of it. The style of exposition is fine and relaxed, but the rigor of presentation of theorems and proofs is not in the least compromised. I would think that this book will be of enormous help to anyone trying to make a transition from concrete to more abstract mathematical reasoning. ... Read more

Book Description

This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series.It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series in two and more variables; linear- and bilinear-generating functions for basic orthogonal polynomials; and summation and transformation formulas for elliptic hypergeometric series. In addition, the text and bibliography have been expanded to reflect recent developments. First Edition Hb (1990): 0-521-35049-2 ... Read more

Book Description

Many secondary mathematics teachers and teacher educators feel ill-equipped to teach a course in geometry. Most feel fortunate to stay one chapter ahead of the very students they are teaching! Most college-level geometry texts don't address their specific needs. Advanced Euclidian Geometry was written to fill this void in many ways: • Provides both in-service and pre-service teachers with a solid review of the essentials of the high school geometry course - AND MORE! • Offers further elaboration of those concepts (advanced Euclidian geometry, the 19th and 20th century expansions of Euclid's work) to give teachers more confidence in guiding student explorations and answering questions. • Contains hundreds of illustrations created in The Geometer's Sketchpad(r) Dynamic Geometry(tm) software. • Is packaged with a dual (Windows(r)/Macintosh(r)) platform CD-ROM containing over 100 interactive sketches using The Geometer's Sketchpad (assumes that users has access to the Sketchpad program) ... Read more

Reviews (1)

A must-have book for every geometry teacher
As a high-school geometry teacher, I have often wished for a book like this. Sadly, the typical one-year geometry course comes to an end just as students are within reach of some truly beautiful and intriguing theorems. Dr. Posamentier's book begins where most high-school geometry textbooks end, and presents many wonderful results that lie just beyond their purview: the nine-
point circle; the golden rectangle; the theorems of Ceva, Menelaus, Ptolemy, Pascal, Desargues, and Brianchon; excircles and incircles; cyclic quadrilaterals; and much more. This book provides a rich geometric feast.

There are several books that cover much of the same ground that Dr. Posamentier surveys: GEOMETRY REVISITED, by Coxeter and Greitzer, and EPISODES IN NINETEENTH AND TWENTIETH CENTURY EUCLIDEAN GEOMETRY, by Honsberger, are two of the best. What makes Dr. Posamentier's book stand out is its usefulness as a textbook. Theorems are fully proved, and arranged in a logically coherent sequence. (The book is Euclidean in format as well as in subject matter.)

The book is thoughtfully designed. The pages are large, the type is easy to read, the diagrams are clear, and the book lies flat when opened.

EVERY HIGH-SCHOOL GEOMETRY TEACHER SHOULD HAVE THIS BOOK. It's a rich source of supplementary material for regular sections, and an ideal textbook for the second semester of an honors-level class, or for a student who wants to pursue the study of geometry on an independent-study basis.

I know that I'll be turning to this book again and again next year, and for as long as I teach geometry. In fact, I plan to buy another copy so that I'll have one at home and one in my classroom.

Bravo, Dr. Posamentier, and thank you! ... Read more

Book Description

A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent source, and is an invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods.
Problems in Real Analysis teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in Principles of Real Analysis, Third Edition. The problems are distributed in forty sections, and cover the entire spectrum of difficulty. ... Read more

Reviews (3)

A must have!!!
This book rocks! It covers practically all the major topics of an introductory course in graduate Real Analysis. Excellent solutions that aid in the understanding of the material. This book's worth is immeasurable, or should I say, non-measurable.

Must have one
Great guide, must have for anyone taking Real Analysis.

Must have for anyone taking Real Analysis
Before buying this book, I was failing Real Analysis. Now I have a prayer of passing. Thank goodness I found it in time. For it to be of use, you need to buy the companion book "Principles of Real Analysis", same authors. On the down side, it doesn't have an index, but overall, well worth the money. Besides, it is the only source I've found of worked-out Real Analyis problems outside of borrowing from other students who have already taken the course. ... Read more

Book Description

Special functions, which include the trigonometric functions, have been used for centuries.Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since.In just the past thirty years several new special functions and applications have been discovered. This treatise presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series.It includes both important historical results and recent developments and shows how these arise from several areas of mathematics and mathematical physics. Particular emphasis is placed on formulas that can be used in computation.The book begins with a thorough treatment of the gamma and beta functions that are essential to understanding hypergeometric functions.Later chapters discuss Bessel functions, orthogonal polynomials and transformations, the Selberg integral and its applications, spherical harmonics, q-series, partitions, and Bailey chains. This clear, authoritative work will be a lasting reference for students and researchers in number theory, algebra, combinatorics, differential equations, applied mathematics, mathematical computing, and mathematical physics. ... Read more

Reviews (5)

A book comes close to " A course of modern analysis "
Though this book cannot be compared to Whittaker and Watson's classic book. It comes quite close to it. I just want to comment on the the area covers are too concentrated and the rigorous manner which is the hall mark of " Modern Analysis " is lacking. Anyway, this book deserves 5 stars.

clean and concise
It has a very good style of writing for the nature of mathematics. It is clean, no unnecessary explanation or examples. In a way, one can feel something similar to Axler's. It is an excellent reference book. One should keep this book just as Axler's Linear Algebra Done Right, Numerical Recipe, DE Knuth's Art of Programming.

The best I've read
Professor Roy et al have made Special Functions clearer to me in this comprehensive volume than any previous authors I have read.

YOW!
Ranjan Roy is way bad. Beware his mathematical wrath

Encyclopedic and highly readable book on Special Functions
This is one of the best books on Mathematics I have read recently;reading it gave me pleasure similar to I had felt while reading classics such as Hardy's Pure Mathematics and Titchmarsh's Theory of Functions about 30 years ago. Starting with a thorough and encyclopedic treatment of Gamma Functions , the book develops, rightly, the thesis of grandeur and ubiquitousness of Hypergeometric Functions,to then cover some of the most important special functions known today. And the beauty lies in precise,to the point, yet historically complete and 'multi-angled' as well as rigourous treatment of every topic covered, with a large number of exercises of nontrivial nature dealing successfully with details which probably could not be included in the main text because of desire to keep the size of the book within reasonable limits. Nonetheless, the authors have delightfully and almost magically been able to cover a lot of ground in a mere 600 odd pages. ... Read more

Book Description

Adopting a user-friendly, conversational—and at times humorous—style, these authors make the principles and practices of discrete mathematics as stimulating as possible while presenting comprehensive, rigorous coverage. Examples and exercises integrated throughout each chapter serve to pique reader interest and bring clarity to even the most complex concepts. Above all, the book is designed to engage today's readers in the interesting, applicable facets of modern mathematics. More than 200 worked examples and problems, as well as over 2500 exercises are included. Full solutions are provided in the back of the book. More than 150 Pauses—short questions inserted at strategic points—are included. Full solutions to Pauses are included at the end of each section. For educators in area of discrete mathematics. ... Read more

Book Description

Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well-written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike. ... Read more

Reviews (1)

Anisotropic Elasticity: Theory and Applications
This is the first monograph dealing with anisotropic elasticity by means of Stroh formalism. The author presented a very comprehensive review of the development of this topic in the last five decades since Stroh's work. Theories developed in this monograph are very useful to the study of general anisotropic problems in crystals and composite materials, such as acoustics, contact mechanics, fracture mechanics. By this method, you are able to express your solution in a very concise while beatiful format, which is almost impossible by other mothods. This method is easily performed by some standard computer codes, although the book seems not interested in this.

I keep this book as a main reference when I study fracture, and wave problems relating polymer composites and other layered structures.

One of the minor disadvantages of this book maybe is that the book did not consider problems with finite dimensions such as layered materials.

To study this monography should have some solid fundamentals of Complex Analysis and Matrix Theory.

Xiangfa Wu

Univeristy of Nebrask-Lincoln

... Read more

Book Description

Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers.

A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals. ... Read more

Reviews (9)

Entirely mediocre
A solid, if limited, textbook. The author provides an entry level approach to analysis without much use of more abstract topological concepts like metric spaces. A decent book for the reader who desires this type limited approach. Even in that light it is hardly spectacular as the author's logic often does not flow as clearly as in alternate texts

This book might be better viewed as an auxiliary text beside a classic like Rudin or the very good Real Mathematical Analysis by Charles Pugh.

Wanna get started on real analysis? This is the one!!
I used this book in my junior year.It will be helpful to read this book if you have taken some sort of "proofs" class before. This book jumps straight into sequences and later on into series. So if you have had exposure to these concepts in some elementary calculus courses, then you will ease into the book very easily.This is a real math book, and so the book starts with axioms, then some definitions and then theorems and proofs. Ken also includes some sections on metric spaces and point-set topology, and shows how real analysis and the latter are inter related.However, it is not necessary to have had any point-set topology to follow the proofs.To get a full appreciation of the subject matter, it is a must to do the exercises, and Ken provides partial proofs in the back, ample examples in each section. This book is dull, if you'll let it be.There were times when I struggled with the matter, especially in the point-set topology sections, but in the end it paid off. I give it five stars. Money well spent!

a truly well-written text on elementary analysis
the "elementary analysis: theory of calculus" text by kenneth A. Ross is truly a gem among analysis texts, not for it's complicated, indigestable technojargons, but rather for it's simplistic, "pristine" approach. more often than not, this genre of textbook is written to be more teacher-friendly than student-friendly. this text has been structured in such a way as to provide an optimal learning experience.

what a magnificient text, ... , i am truly sorry for giving you a negative evaluation (1/5). the book is in excellent shape. LOVE IT!

Ross converges on readability
I used this book for the analysis sequence at cal poly for my undergraduate coursework. This is one of the best books i've read. In addition to the standard material for a two-quarter course, it concluded some nice topological supplementary like compactness, open/closed sets and continuity that got me interested in general topology. Included in the back are the much appreciated hints for the exercises. Excellent and radical approach to Riemann-Stielje Integrals in the integration section. Good for an intro. to proofs in general.

Not for the easily discouraged
I am using this book in an undergraduate analysis class. I have to say that the book is very good. The author takes time to prove all the theorems and there are about 10-15 exercises for each section with random solutions in the back. Sometimes he skimps on the proofs and at times it is hard to follow his logic. But overall I would recommend this for anyone interested in analysis who has a good background in calculus. He starts with basic properties of numbers but then jumps pretty quickly into sequences, series and the rest of calculus. Put your thinking caps on for this one! ... Read more

Book Description

Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications. ... Read more