Mathematics: The New Golden AgePaperback
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- Publisher: Columbia University Press
- Format: Paperback | 336 pages
- Dimensions: 150mm x 224mm x 23mm | 454g
- Publication date: 1 March 2001
- Publication City/Country: New York
- ISBN 10: 023111639X
- ISBN 13: 9780231116398
- Edition: Revised
- Edition statement: Revised and Enlarged ed.
- Sales rank: 564,953
Mathematics: The New Golden Age offers a glimpse of the extraordinary vistas and bizarre universes opened up by contemporary mathematicians: Hilbert's tenth problem and the four-color theorem, Gaussian integers, chaotic dynamics and the Mandelbrot set, infinite numbers, and strange number systems. Why a "new golden age"? According to Keith Devlin, we are currently witnessing an astronomical amount of mathematical research. Charting the most significant developments that have taken place in mathematics since 1960, Devlin expertly describes these advances for the interested layperson and adroitly summarizes their significance as he leads the reader into the heart of the most interesting mathematical perplexities -- from the biggest known prime number to the Shimura-Taniyama conjecture for Fermat's Last Theorem. Revised and updated to take into account dramatic developments of the 1980s and 1990s, Mathematics: The New Golden Age includes, in addition to Fermat's Last Theorem, major new sections on knots and topology, and the mathematics of the physical universe. Devlin portrays mathematics not as a collection of procedures for solving problems, but as a unified part of human culture, as part of mankind's eternal quest to understand ourselves and the world in which we live. Though a genuine science, mathematics has strong artistic elements as well; this creativity is in evidence here as Devlin shows what mathematicians do -- and reveals that it has little to do with numbers and arithmetic. This book brilliantly captures the fascinating new age of mathematics.
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Keith Devlin is the Dean of Science at Saint Mary's College of California and a Senior Researcher at Stanford University's Center for the Study of Language and Information. Since 1983, he has been a regular columnist on mathematics and computing for the Guardian newspaper in England, and he is the mathematics commentator on National Public Radio's popular "Weekend Edition" magazine program. He is a Fellow of the American Association for the Advancement of Science and the author of twenty-three books on mathematics and computing, including Life by Numbers and The Language of Mathematics.
Excellent... He presents us with a series of colorful personalities and seminal ideas [and] conveys all of the power, beauty and excitement of mathematics... Well-written, informative. Mathematical Association of America (of the first ed.) A beautiful, rich book. Guardian (of the first ed.) Devlin's choice of material is excellent, and he is to be praised for the clarity and accuracy with which he presents it. -- Martin Gardner New York Review of Books (of the first ed.) Devlin makes the beauty of math apparent, the most esoteric of concepts sing. If more scientists wrote with Devlin's simplicity and feeling, the world would be a much more informed place. Atlanta Journal-Constitution
Table of contents
1. Prime Numbers, Factoring, and Secret Codes2. Sets, Infinity, and the Undecidable3. Number Systems and the Class Number Problem4. Beauty from Chaos5. Simple Groups6. Hilbert's Tenth Problem7. The Four-Color Problem8. Hard Problems About Complex Numbers9. Knots, Topology, and the Universe10. Fermat's Last Theorem11. The Efficiency of Algorithms