کارایی غیرمعقول نظریه اعداد: جامعه ریاضی آمریکا، دوره کوتاه، ۶-۷ اوت ۱۹۹۱، اورونو، ماین

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. The Unreasonable Effectiveness Of Number Theory In Physics, Communication And Music / Manfred R. Schroeder -- The Reasonable And Unreasonable Effectiveness Of Number Theory In Statistical Mechanics / George E. Andrews -- Number Theory And Dynamical Systems / J.c. Lagarias -- The Mathematics Of Random Number Generators / George Marsaglia -- Cyclotomy And Cyclic Codes / Vera Pless -- Number Theory In Computer Graphics / M. Douglas Mcilroy. Stefan A. Burr, Editor ; George E. Andrews ... [et Al.]. Course Held In Orono, Maine, Aug. 6-7, 1991. Includes Index. Includes Bibliographical References And Index. This Work Is Based On The Ams Short Course The Unreasonable Effectiveness Of Number Theory Held In Orono, Maine, Usa, In August 1991. The Course Provided Some Views Into The Great Breadth Of Application 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 Should Be Of Use 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. Based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991, this work is suitable for 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.