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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 youve 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- youll 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 mod... Please click here to ask a question
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