God Created The Integers: The Mathematical Breakthroughs that Changed History

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Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.
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#1 NEW YORK TIMES BESTSELLER • “Hawking’s parting gift to humanity . . . a book every thinking person worried about humanity’s future should read.”—NPR

The world-famous cosmologist and author of A Brief History of Time leaves us with his final thoughts on the biggest questions facing humankind.

Stephen Hawking was the most renowned scientist since Einstein, known both for his groundbreaking work in physics and cosmology and for his mischievous sense of humor. He educated millions of readers about the origins of the universe and the nature of black holes, and inspired millions more by defying a terrifying early prognosis of ALS, which originally gave him only two years to live. In later life he could communicate only by using a few facial muscles, but he continued to advance his field and serve as a revered voice on social and humanitarian issues.

Hawking not only unraveled some of the universe’s greatest mysteries but also believed science plays a critical role in fixing problems here on Earth. Now, as we face immense challenges on our planet—including climate change, the threat of nuclear war, and the development of artificial intelligence—he turns his attention to the most urgent issues facing us.

Will humanity survive? Should we colonize space? Does God exist? ​​These are just a few of the questions Hawking addresses in this wide-ranging, passionately argued final book from one of the greatest minds in history.

Featuring a foreword by Eddie Redmayne, who won an Oscar playing Stephen Hawking, an introduction by Nobel Laureate Kip Thorne, and an afterword from Hawking’s daughter, Lucy, Brief Answers to the Big Questions is a brilliant last message to the world.

Praise for Brief Answers to the Big Questions

“[Hawking is] a symbol of the soaring power of the human mind.”—The Washington Post

“Hawking’s final message to readers . . . is a hopeful one.”—CNN

“Brisk, lucid peeks into the future of science and of humanity.”—The Wall Street Journal

“Hawking pulls no punches on subjects like machines taking over, the biggest threat to Earth, and the possibilities of intelligent life in space.”—Quartz

“Effortlessly instructive, absorbing, up to the minute and—where it matters—witty.”—The Guardian

“This beautiful little book is a fitting last twinkle from a new star in the firmament above.”—The Telegraph
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Additional Information

Publisher
Running Press Adult
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Published on
Mar 29, 2007
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Pages
256
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ISBN
9780762432721
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Language
English
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Genres
Mathematics / Algebra / General
Mathematics / Essays
Mathematics / General
Mathematics / Geometry / General
Mathematics / History & Philosophy
Mathematics / Number Theory
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Content Protection
This content is DRM protected.
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Available on Android devices
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Eligible for Family Library

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For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.
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