Softcover ISBN:  9780821855010 
Product Code:  PSAPM/46 
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eBook ISBN:  9780821892619 
Product Code:  PSAPM/46.E 
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Softcover ISBN:  9780821855010 
eBook: ISBN:  9780821892619 
Product Code:  PSAPM/46.B 
List Price:  $224.00 $174.50 
MAA Member Price:  $201.60 $157.05 
AMS Member Price:  $179.20 $139.60 
Softcover ISBN:  9780821855010 
Product Code:  PSAPM/46 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821892619 
Product Code:  PSAPM/46.E 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
Softcover ISBN:  9780821855010 
eBook ISBN:  9780821892619 
Product Code:  PSAPM/46.B 
List Price:  $224.00 $174.50 
MAA Member Price:  $201.60 $157.05 
AMS Member Price:  $179.20 $139.60 

Book DetailsProceedings of Symposia in Applied MathematicsVolume: 46; 1992; 125 ppMSC: Primary 11
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 numbertheoretic 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.
ReadershipGeneral mathematical audience as well as researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics.

Table of Contents

Articles

Manfred R. Schroeder — The unreasonable effectiveness of number theory in physics, communication and music [ MR 1195839 ]

George E. Andrews — The reasonable and unreasonable effectiveness of number theory in statistical mechanics [ MR 1195840 ]

J. C. Lagarias — Number theory and dynamical systems [ MR 1195841 ]

George Marsaglia — The mathematics of random number generators [ MR 1195842 ]

Vera Pless — Cyclotomy and cyclic codes [ MR 1195843 ]

M. Douglas McIlroy — Number theory in computer graphics [ MR 1195844 ]


Reviews

The overall standard here is high ... it is more than useful to have a small book indicating so many applications in a subject long considered to be the most basic branch of mathematics.
Bulletin of the London Mathematical Society


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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 numbertheoretic 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.
General mathematical audience as well as researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics.

Articles

Manfred R. Schroeder — The unreasonable effectiveness of number theory in physics, communication and music [ MR 1195839 ]

George E. Andrews — The reasonable and unreasonable effectiveness of number theory in statistical mechanics [ MR 1195840 ]

J. C. Lagarias — Number theory and dynamical systems [ MR 1195841 ]

George Marsaglia — The mathematics of random number generators [ MR 1195842 ]

Vera Pless — Cyclotomy and cyclic codes [ MR 1195843 ]

M. Douglas McIlroy — Number theory in computer graphics [ MR 1195844 ]

The overall standard here is high ... it is more than useful to have a small book indicating so many applications in a subject long considered to be the most basic branch of mathematics.
Bulletin of the London Mathematical Society