All About Books: Math

How could you, a mathematician, believe that extraterrestrials were sending you messages?" the visitor from Harvard asked the West Virginian with the movie-star looks and Olympian manner."Because the ideas I had about supernatural beings came to me the same way my mathematical ideas did," came the answer. "So I took them seriously."Thus begins the true story of John Nash, the mathematical genius who was a legend by age thirty when he slipped into madness, and who -- thanks to the selflessness of a beautiful woman and the loyalty of the mathematics community -- emerged after decades of ghostlike existence to win a Nobel Prize and world acclaim. The inspiration for a major motion picture, Sylvia Nasar's award-winning biography is a drama about the mystery of the human mind, triumph over incredible adversity, and the healing power of love.

With the same user-friendly, quirky, and perceptive approach that made Innumeracy a bestseller, John Allen Paulos travels though the pages of the daily newspaper showing how math and numbers are a key element in many of the articles we read every day.nbsp;nbsp;From the Senate, SATs, and sex, to crime, celebrities, and cults, he takes stories that may not seem to involve mathematics at all and demonstrates how a lack of mathematical knowledge can hinder our understanding of them.

This masterpiece of science (and mathematical) fiction is a delightfully unique and highly entertaining satire that has charmed readers for more than 100 years. The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square, a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status. Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

First there was Edwin A. Abbott's remarkable Flatland, published in 1884, and one of the all-time classics of popular mathematics. Now, from mathematician and accomplished science writer Ian Stewart, comes what Nature calls "a superb sequel." Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who tempts her away from her home and family in Flatland and becomes her guide and mentor through ten dimensions. In the tradition of Alice in Wonderland and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.

Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.

From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authorized by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

Simon Singh, author of the bestsellers Fermat’s Enigma, The Code Book, and Big Bang, offers fascinating new insights into the celebrated television series The Simpsons: That the show drip-feeds morsels of number theory into the minds of its viewers—indeed, that there are so many mathematical references in the show, and in its sister program, Futurama, that they could form the basis of an entire university course.   Recounting memorable episodes from “Bart the Genius” to “Homer3,” Singh brings alive intriguing and meaningful mathematical concepts—ranging from the mathematics of pi and the paradox of infinity to the origin of numbers and the most profound outstanding problems that haunt today’s generation of mathematicians. In the process, he illuminates key moments in the history of mathematics, and introduces us to The Simpsons’ brilliant writing team—the likes of David X. Cohen, Al Jean, Jeff Westbrook, and Stewart Burns—all of whom have various advanced degrees in mathematics, physics, and other sciences.   Based on interviews with the writers of The Simpsons and replete with images from the shows, facsimiles of scripts, paintings and drawings, and other imagery, The Simpsons and Their Mathematical Secrets will give anyone who reads it an entirely new insight into the most successful show in television history.