Computational Geometry: Algorithms and Applications, Second Edition Review

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Computational Geometry: Algorithms and Applications, Second Edition ReviewPro:
(1) Each chapter begins with a practical example. For example, the chapter computing intersections of lines starts with a discussion of a map-making application that goes into enough detail to see how the algorithms they present would be useful. This is a considerable step up from the common practice in algorithms literature of motivation by way of vaguely mentioning some related field (i.e. "These string matching algorithms are useful in computational biology"). This book does a much better job of motivating the material it presents, but if you're primarily interested in the abstract problem, these sections can be skipped.
(2) Each chapter is relatively self-contained. Feel free to skip ahead to subjects that interest you.
(3) Surprisingly readable. Unlike most technical material, one can read an entire chapter in a single sitting without missing much. Generally, each chapter will develop a single algorithm for a single kind of problem.
(4) It's very up to date. This second edition is less than two years old, it includes some new results in the field.
Con:
(1) Algorithms are only given in pseudocode. The emphasis is on describing algorithms and data structures clearly and completely. If you're looking for a "cookbook" with code to copy and paste into an application, perhaps O'Rourke's "Computational Geometry in C" would be a better choice.
(2) There are many important advanced results that are not discussed in the main text. An obvious example is the first chapter, which describes a well-known convex hull algorithm that takes O(n log n) time but algorithms that are faster for most inputs are mentioned only in the "Notes and Comments" at the end of the chapter. Someone interested in lots of gory details would be well-served to combine this book with Boissonnat and Yvinec's more detailed and mathematical "Algorithmic Geometry".Computational Geometry: Algorithms and Applications, Second Edition Overview

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God Created the Integers: The Mathematical Breakthroughs That Changed History Review

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God Created the Integers: The Mathematical Breakthroughs That Changed History ReviewFirst, I loved the idea of this book--a compendum of the more significant mathematical breakthroughs in all their detail, as written by their creators. The text is refreshing in that it is not a watered down version of someone's results. I have a math background and all the details are appreciated. There's something about reading the original text, straight from the minds of these great men.
This book could be useful, for example, for someone who likes math and wants a 'sampler' of different areas of study. It could also be useful for someone reading up on the history of mathematics who wants to dig deeper into certain areas and see the original works.
All that said, I have to agree with another reviewer about the editing. It's awful (yes, awful) that such typographical errors could exist in a math book. The first section I looked at in this book, Riemann's original paper on the zeta function, had four typos ON THE SAME PAGE. This is disasterous to someone trying to learn the material for the first time, or someone trying to follow a tight line of argument. If this was a college text book, I'd probably burn it, because learning math is difficult enough, without having to contend with typos. To the editors of this book: COME ON GUYS, YOU CAN DO BETTER THAN THIS. YOU SHOULD BE ASHAMED (YES, ASHAMED) OF YOURSELVES (you're just COPYING something someone else wrote--and yet you managed to mess that up)! At least put an errata page somewhere online.God Created the Integers: The Mathematical Breakthroughs That Changed History Overview

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Modeling with Data: Tools and Techniques for Scientific Computing Review

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Modeling with Data: Tools and Techniques for Scientific Computing ReviewKlemens teaches how to tame and understand a dataset the way it should be done: in C. Invest some time in this excellent book full of gentle humor and respect for the reader's intelligence. The payoffs will be immense. The best resource (a full set of programs used in the book) accompanying this book is available for FREE(!) on Klemens's website!Modeling with Data: Tools and Techniques for Scientific Computing Overview

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