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Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you.
Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.
Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.
If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.
- Sales Rank: #462433 in Books
- Published on: 2013-07-28
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .59" w x 6.00" l, .84 pounds
- Binding: Paperback
- 282 pages
About the Author
Mark Chu-Carroll is a PhD computer scientist and professional software engineer. His professional interests include collaborative software development, programming languages and tools, and how to improve the daily lives of software developers. Aside from general geekery and blogging, he plays classical music on the clarinet, traditional Irish music on the wooden flute, and folds elaborate structures out of paper.
Most helpful customer reviews
44 of 48 people found the following review helpful.
Outstanding, But Don't Confuse It With The Usual Golden Triangle Boredom
By Let's Compare Options Preptorial
Amazon reviewers rightfully mention the computational background of this book. Unfortunately, the publishers are giving "canned" general science readership hype and background reviews (possibly to increase the readership base) on the usual pi, golden triangle, zero, i, e, etc. topics that make for pop sci math. This book is FAR BETTER (and a LOT different) than those! Publishers take note: you will sell MORE of this fine text by simply being honest and pointing out how different it really is by bringing in unique computational topics and examples.
Sure, Mark covers a bit of background on historic (and even pop sci) math, and does the usual genuflection to pi, zero, e, i, etc. but then rapidly moves into computational math topics never covered in the pop sci books like group theory, transfinites, the halting problem, and many more, using computer math as both examples and primary chapters in some cases. Even where he covers the i/e/pi topics, he does so with very unique examples, including computation (I'm calling numerical analysis and graph theory computer math so I don't scare away potential readers, because the author DOES NOT write or assume math above high school level. On the other hand, if you are in math, you'll still love many of the building blocks here. I write DSLs for robotics and even with a Masters in applied math thoroughly enjoyed this book).
Highly recommended, ironically FOR anyone with a general interest in very up to date math topics, due to the examples from IT. Knowing about the computer frame of reference can really enhance your enjoyment even as a general math fan, because Chu-Carroll uses examples, humor and very clear explanations even though many of the topics are new, relevant, up to date and unique.
Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases.
25 of 27 people found the following review helpful.
Good but full of typos & errors
By Rubén Barroso
This is a good book, especially for its right selection of topics that are of great interest for computer scientists -and mathematicians obviously. The only reason I am giving it three stars is because the book contents is *plagued* with typos, errors and formatting inconsistencies. I wish I had written down them as I was reading it.
18 of 22 people found the following review helpful.
Fantastic book covering a lot of ground
By Amazon Customer
If you're a programmer who has had little exposure to some of the so-called, 'higher' realms of math, this book is written for you. My only real complaint (the reason it does not get five stars), is that it doesn't dive deeply into most of the topics covered, so you're left with just a taste of each. Of course, that's to be expected in a book such as this. If it were thorough, in any sense, it would be at least twice if not ten times as long (or much, much more). Regardless, if you are a software developer, unless you already have a degree in math, you should pick this book up and give it a read. Lots of non-programmers should, as well, of course!
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