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| 61. Discrete Mathematics with Applications by Susanna S. Epp | |
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Book Description Reviews (6)
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| 62. Introduction to the Practice of Statistics & CD-Rom : with CD-Rom (Introduction to the Practice of Statistics) by George P. McCabe, David S. Moore | |
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Reviews (8)
Its highlight is its coverage of collecting data. Most statistics books don't even mention how data is collected, or should be collected; they only show you how to analyze it. General principles of sampling and experimentation are licidly covered, as are the implications of using these two fundamentally different approaches to research. The second strong point of this book is its general overview of statistics. It shows how different analyses are used for different types of data (categorical vs. quantitative), although the general premise is the same--relationship between variables. Finally, it makes a connection between real data and theoretical distributions. Most statistics books start off saying, "assume the data follow a normal distribution" but real data never does. Moore and McCabe explains how we can use a mathematical formula to model our real data, and the advantages and limitations of doing so. This is the bridge necessary to place the theoretical world of probability and mathematical statistics into the real world of research and data analysis. This is still my favorite introductory statistics book, it is unique and inciteful, while others are clones and impractical. It is for researchers, not statisticians. If you are a researcher and have reviewed many introductory statistics books you will see the value of this one in explaining how statistics work, instead of just showing formulas.
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| 63. Basic Mathematics through Applications (3rd Edition) by Geoffrey Akst, Sadie Bragg | |
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| 64. Bayesian Data Analysis, Second Edition by Andrew Gelman, John B. Carlin, Hal S. Stern, Donald B. Rubin | |
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Book Description Reviews (3)
This book was the textbook used at the University of Wisconsin-Madison for the graduate course in Bayesian Decision and Control I during the fall of 2001 and 2002. It strikes a good balance between theory and practical example, making it ideal for a first course in Bayesian theory at an intermediate-advanced graduate level. Its emphasis is on Bayesian modeling and to some degree computation. Prerequisites While no Bayesian theory is assumed, it is assumed that the reader has a background in mathematical statistics, probability and continuous multi-variate distributions at a beginning or intermediate graduate level. The mathematics used in the book is basic probability and statistics, elementary calculus and linear algebra. Intended audience This book is primarily for graduate students, statisticians and applied researchers who wish to learn Bayesian methods as opposed to the more classical frequentist methods. Material covered It covers the fundamentals starting from first principles, single-parameter models, multi-parameter models, large sample inference, hierarchical models, model checking and sensitivity analysis, study design, regression models, generalized linear models, mixture models and models for missing data. In addition it covers posterior simulation and integration using rejection sampling and importance sampling. There is one chapter on Markov chain simulation (MCMC) covering the generalized Metropolis algorithm and the Gibbs sampler. Over 38 models are covered, 33 detailed examples from a wide range of fields (especially biostatistics). Each of the 18 chapter has a bibliographic note at the end. There are two appendixes: A) a very helpful list of standard probability distributions and B) outline of proofs of asymptotic theorems. Sixteen of the 18 chapters end with a set of exercises that range from easy to quite difficult. Most of the students in my fall 2001 class used the statistical language R to do the exercises. The book's emphasis is on applied Bayesian analysis. There are no heavy advanced proofs in the book. While the proofs of the basic algorithms are covered there are no algorithms written in pseudo code...Additional books of related interest 1) Statistical Decision Theory and Bayesian Analysis, James Berger, second edition. Emphasis on decision theory and more difficult to follow than Gelman's book. Covers empirical and hierarchical Bayes analysis. More philosophical challenging than Gelman's book. 2) Monte Carlo Statistical Methods, Robert and Casella. Very mathematically oriented book. Does a good job of covering MCMC. 3) Monte Carlo Methods in Bayesian Computation, Ming-Hui Chen, Qi-Man Shao, Joseph George Ibrahim. An enormous number of algorithms related to MCMC not covered elsewhere. If you need MCMC and need an algorithm to implement MCMC this is the book to read. 4) Monte Carlo Strategies in Scientific Computing, Jun S. Liu. Covers a wide range of scientific disciplines and how Monte Carlo methods can be used to solve real world problems. Includes hot topics such as bioinformatics. Very concise. Well written, but requires effort to understand as so many different topics are covered. This book is my most often borrowed book on Monte Carlo methods. Jun S. Liu is a big gun at Harvard. 5) Probabilistic Networks and Expert Systems. Cowell, Dawid, Lauritzen, Spiegelhalter. Covers the theory and methodology of building Bayesian networks (probabilistic networks).
Another text in the CRC series Markov Chain Monte Carlo in Practice by Gilks, Richardson and Spiegelhalter provides more detail on these methods along with many applications including some Bayesian ones.
This book's biggest strength is its introduction of most of the important ideas in Bayesian statistics through well-chosen examples. These are examples are not contrived: many of them came up in research by the authors over the past several years. Most examples follow a logical progression that was probably used in the original research: a simple model is fit to data; then areas of model mis-fit are sought, and a revised model is used to address them. This brings up another strength of the book: the discussion and treatment of measures of model fit (and sensitivity of inferences) is lucid and enlightening. Some readers may wish the computational methods were spelled out more fully: this book will help you choose an appropriate statistical model, and the ways to look for serious violations of it, but it will take a bit of work to convert the ideas into computational algorithms. This is not to say that the computational methods aren't discussed, merely that many of the details are left to the reader. The reader expecting pseudo-code programs will be disappointed. All in all, I recommend this book for anyone who applies statistical models to data, whether those models are Bayesian or not. I especially recommend it for researchers who are curious about Bayesian methods but do not see the point of them---Chapter 5, and particularly section 5.5 (an example chosen from educational testing), beautifully addresses this issue. ... Read more | |
| 65. Basic College Mathematics (4th Edition) by John Tobey, Jeffrey Slater | |
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Book Description Reviews (5)
The chapters cover the broad topics in this order: Whole Numbers, including the basic arithmetical functions (addition, subtraction, multiplication, and division), was well as basics of exponents and rounding; Fractions, including the basic arithmetical functions as well as beginning to deal with mixed numbers and order of operations; Decimals, including the basic arithmetical functions as well as continuing with order of operations and decimal/fraction conversions; Ratio and proportion ideas; Percentages theoretical and applied; Basic Measurements and conversions of units between British/American units and metric standards; Geometry at the most basic level of shapes and arithmetical formulas dealing with those shapes for area, perimeter, etc.; Statistics at a very elementary level, such as reading charts and graphs, histograms, and the three concepts of mean, median and mode; Signed and special numbers, including the negative numbers, as well as scientific notation; and finally a brief introduction to Algebra, which introduces the basic concepts of variables, like terms, and equations. Each of the chapters deals with things in a mathematical as well as an 'English' way - explaining in words the concepts and operations being carried out in the numbers. Each section of each chapter covers only a few key concepts, with enough problems for solving that reinforce the principles thoroughly. Each section also as word problems (story problems) to test the real-world applicability of the numerical/mathematical concepts being presented, so when students ask (as they always do and shall), 'When am I ever going to use this?' there are examples drawn from typical situations. Tobey and Slater have also worked to make various connections with geometry, graphs and charts, tables, as well as internet resources to provide the most up-to-date and useful text. There are specific problems along the way that assume the use of calculators (as most of real-life mathematics now involves calculators). The book's design is interesting from a graphic-design standpoint, but from the standpoint of clarity to the students, the pages are a bit 'busy'. While I appreciate the need to reduce the number of pages in an effort to keep the costs down (text-book prices are typically higher than popular-book prices, and this text is no exception), more white space on the pages would probably help the accessibility and make it a little less intimidating. This book serves as a good foundation for students to proceed at our college forward into Beginning Algebra (another book by Tobey and Slater on this topic is used for the next-level course), and then further into Intermediate Algebra and beyond.
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| 66. Essentials of Statistics for the Behavioral Sciences by Frederick J Gravetter, Larry B. Wallnau | |
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Book Description Reviews (2)
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| 67. Algebra: A Combined Approach (2nd Edition) by K. Elayn Martin-Gay | |
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| 68. Elementary Algebra for College Students, Sixth Edition by Allen R. Angel | |
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Book Description Reviews (4)
Thanks !
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| 69. Beginning Algebra (4th Edition) by K. Elayn Martin-Gay | |
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Book Description Reviews (6)
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 | |
| 70. Prealgebra (4th Edition) by K. Elayn Martin-Gay | |
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Reviews (4)
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| 71. 9 Vol. Set, Encyclopedia of Statistical Sciences by Norman LloydJohnson, Campbell B.Read | |
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| 72. Introductory and Intermediate Algebra: A Combined Approach, Second Edition by Marvin L. Bittinger, Judith A. Beecher | |
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| 73. Incompleteness: The Proof and Paradox of Kurt Godel (Great Discoveries) by Rebecca Goldstein | |
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Book Description Kurt Gödel is considered the greatest logician since Aristotle. His monumental theorem of incompleteness demonstrated that in every formal system of arithmetic there are true statements that nevertheless cannot be proved. The result was an upheaval that spread far beyond mathematics, challenging conceptions of the nature of the mind. Rebecca Goldstein, a MacArthur-winning novelist and philosopher, explains the philosophical vision that inspired Gödel's mathematics, and reveals the ironic twist that led to radical misinterpretations of his theorems by the trendier intellectual fashions of the day, from positivism to postmodernism. Ironically, both he and his close friend Einstein felt themselves intellectual exiles, even as their work was cited as among the most important in twentieth-century thought. For Gödel , the sense of isolation would have tragic consequences. This lucid and accessible study makes Gödel's theorem and its mindbending implications comprehensible to the general reader, while bringing this eccentric, tortured genius and his world to life. About the series:Great Discoveries brings together renowned writers from diverse backgrounds to tell the stories of crucial scientific breakthroughsthe great discoveries that have gone on to transform our view of the world. | |
| 74. A First Course in Differential Equations with Modeling Applications by Dennis G. Zill | |
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Book Description Reviews (15)
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| 75. The Cartoon Guide to Statistics by Larry Gonick, Woollcott Smith | |
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our price: $11.86 (price subject to change: see help) Asin: 0062731025 Catlog: Book (1994-02-25) Publisher: HarperResource Sales Rank: 5557 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan |
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Book Description The Cartoon Guide to Statistics covers all the central ideas of modern statistics: the summary and display of data, probability in gambling and medicine, random variables, Bernoulli Trails, the Central Limit Theorem, hypothesis testing, confidence interval estimation, and much more--all explained in simple, clear, and yes, funny illustrations. Never again will you order the Poisson Distribution in a French restaurant! Reviews (33)
The weakness of the book is that there are a lot of formulas given, and not enough discussion of the formulas, so one would need to use other statistics texts to supplement the material, so this book cannot stand alone in that respect. On the other hand, if one is just trying to get an overview, there is a lot to skip over. The authors do make fun of the formulas, and the amount of math so those that are looking for an overview may enjoy the humorous presentation. There is also a lot to do with the subject that the book covers. It does cover probabilities, but when it comes to distributions it really focuses on Standard Normal distributions. I don't believe it ever mentions Uniform, Poisson, or other types of distributions which most statistic courses do cover. The best part of the book is the examples, some of which are carried through for several chapters to help the reader better understand the subject. Although, even with the examples they are a bit inconsistent in how complete they are. For example, in one case they started to discuss the use of statistics to compare the salaries of male and female employees in the same job, but they never completed the discussion. The examples of racial bias in jury selection, and the gas mileage comparison of two different types of gas are much better. This is a decent book, but not up to the level of Gonick's excellent "Cartoon History of the Universe" series, and not strong enough to give it more than three stars.
Zev Saftlas, Author of Motivation That Works: How to Get Motivated and Stay Motivated
It contains everything you need to know about introductory statistics. Some things are a little unclear, but this stems from the fact that the author's did not want to burden the reader with the derivations of the basic equations. So at the expense of some clarity, they cut out a lot of junk that you will never need, probably even if your major is statistics. So even though you may need to supplement this book with a more detailed book, and even though the cartoons are far from funny, I give this book 5 stars because it is simply the best intro that you will find. You could easily get through an introductory college course with this book alone, and its a shame more courses don't try to do that.
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| 76. Applied Cryptography: Protocols, Algorithms, and Source Code in C, Second Edition by BruceSchneier | |
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Amazon.com Reviews (86)
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.
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!
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.
Some reviewrs seem to berate the author for: Well, I have some news for you: Need I say more.
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| 77. Statistics for the Behavioral Sciences (with InfoTrac) by Frederick J Gravetter, Larry B. Wallnau | |
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Book Description Reviews (7)
I suppose I ought to update my copy ;-) mine is dog eared! Need stats? Buy this book to learn. Good stuff! ... Read more | |
| 78. Topology (2nd Edition) by James Munkres | |
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Book Description Reviews (23)
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.
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.
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 | |
| 79. Statistics for the Behavioral Sciences by James Jaccard, Michael A. Becker | |
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Book Description Reviews (2)
"Introductory statistics, unlike content areas in the behavioral sciences, does not become dated quickly. Many of the concepts taught ten years ago are still relevant t | |