How Math Explains the World

How Math Explains the World

Author: D. Stein

Publisher: Harper Collins

Published: 2009-03-17

Total Pages: 320

ISBN-13: 0061828688

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In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.


Concepts of Modern Mathematics

Concepts of Modern Mathematics

Author: Ian Stewart

Publisher: Courier Corporation

Published: 2012-05-23

Total Pages: 367

ISBN-13: 0486134954

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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.


Infinitesimal

Infinitesimal

Author: Amir Alexander

Publisher: Simon and Schuster

Published: 2014-07-03

Total Pages: 317

ISBN-13: 1780745338

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On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line.


Science and the Modern World

Science and the Modern World

Author: Alfred North Whitehead

Publisher: CUP Archive

Published: 1953

Total Pages: 288

ISBN-13: 9780521800617

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Alfred North Whitehead's SCIENCE AND THE MODERN WORLD, originally published in 1925, redefines the concept of modern science. Presaging by more than half a century most of today's cutting-edge thought on the cultural ramifications of science and technology, Whitehead demands that readers understand and celebrate the contemporary, historical, and cultural context of scientific discovery. Taking readers through the history of modern science, Whitehead shows how cultural history has affected science over the ages in relation to such major intellectual themes as romanticism, relativity, quantum theory, religion, and movements for social progress.


Indian Mathematics: Engaging With The World From Ancient To Modern Times

Indian Mathematics: Engaging With The World From Ancient To Modern Times

Author: George Gheverghese Joseph

Publisher: World Scientific

Published: 2016-07-28

Total Pages: 510

ISBN-13: 1786340631

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Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders.Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.


Mathematics and the Real World

Mathematics and the Real World

Author: Zvi Artstein

Publisher: Prometheus Books

Published: 2014-09-02

Total Pages: 428

ISBN-13: 1616145463

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In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.


Mathematics and the Physical World

Mathematics and the Physical World

Author: Morris Kline

Publisher: Courier Corporation

Published: 2012-03-15

Total Pages: 514

ISBN-13: 0486136310

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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.


Step into the World of Mathematics

Step into the World of Mathematics

Author: Samuli Siltanen

Publisher: Springer Nature

Published: 2021-09-27

Total Pages: 127

ISBN-13: 3030733432

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Modern life is increasingly relying on digital technology, which in turn runs on mathematics. However, this underlying math is hidden from us. That is mostly a good thing since we do not want to be solving equations and calculating fractions just to get things done in our everyday business. But the mathematical details do matter for anyone who wants to understand how stuff works, or wishes to create something new in the jungle of apps and algorithms. This book takes a look at the mathematical models behind weather forecasting, climate change prediction, artificial intelligence, medical imaging and computer graphics. The reader is expected to have only a curious mind; technical math skills are not needed for enjoying this text.