» » Good Math: A Geek's Guide to the Beauty of Numbers, Logic & Computation

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  • Author: sheva370
  • Date: 18-09-2013, 01:19
18-09-2013, 01:19

Good Math: A Geek's Guide to the Beauty of Numbers, Logic & Computation

Category: E-Books

Good Math: A Geek's Guide to the Beauty of Numbers, Logic & Computation
Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation
Publisher: P r a g m a t i c Bookshelf | 2013 | EPUB + PDF | ISBN: 1937785335 | 250 pages | 11.2 Mb

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.

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