The Unreasonable effectiveness of number theory
著者
書誌事項
The Unreasonable effectiveness of number theory
（Proceedings of symposia in applied mathematics, v. 46 . AMS short course lecture notes）
American Mathematical Society, c1992
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注記
"Lecture notes prepared for the American Mathematical Society Short Course, the Unreasonable Effectiveness of Number Theory, held in Orono, Maine, August 6-7, 1991" -- T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
This book is based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991. This Short Course provided some views into the great breadth of applications of number theory outside cryptology and highlighted the power and applicability of number-theoretic ideas. Because number theory is one of the most accessible areas of mathematics, this book will appeal to a general mathematical audience as well as to researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics. All of the chapters are written by leading specialists in number theory and provides excellent introduction to various applications.
目次
The unreasonable effectiveness of number theory in physics, communication, and music by M. R. Schroeder The reasonable and unreasonable effectiveness of number theory in statistical mechanics by G. E. Andrews Number theory and dynamical systems by J. C. Lagarias The mathematics of random number generators by G. Marsaglia Cyclotomy and cyclic codes by V. Pless Number theory in computer graphics by M. D. McIlroy.
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