Organic Mathematics: Proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University

Organic Mathematics: Proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University

by Jonathan M. Borwein, L. Jorgenson, P. Borwien
     
 

ISBN-10: 0821806688

ISBN-13: 9780821806685

Pub. Date: 09/03/1997

Publisher: American Mathematical Society

This volume is the hardcopy version of the electronic manuscript, ''Proceedings of the Organic Mathematics Workshop'' held at Simon Fraser University in December 1995. The book provides a fixed, easily referenced, and permanent version of what is otherwise an evolving document. Contained in this work is a collection of articles on experimental and computational

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Overview

This volume is the hardcopy version of the electronic manuscript, ''Proceedings of the Organic Mathematics Workshop'' held at Simon Fraser University in December 1995. The book provides a fixed, easily referenced, and permanent version of what is otherwise an evolving document. Contained in this work is a collection of articles on experimental and computational mathematics contributed by leading mathematicians around the world. The papers span a variety of mathematical fields—from juggling to differential equations to prime number theory. The book also contains biographies and photos of the contributing mathematicians and an in-depth characterization of organic mathematics.

Product Details

ISBN-13:
9780821806685
Publisher:
American Mathematical Society
Publication date:
09/03/1997
Series:
Conference Proceedings of the Canadian Mathematical Society Series, #20
Pages:
412

Table of Contents

Preface
What is organic mathematics?1
Pfaff's method (III): Comparison with the WZ method19
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi35
Recognizing numerical constants73
Approximations to [pi] via the Dedekind eta function89
The beta expansion for Salem numbers117
Juggling drops and descents133
GL(4)-orbits in a 16-dimensional module for characteristic 3155
Binary cubic forms and cubic number fields175
Continued fractions and chaos205
A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices239
Arithmetic properties of binomial coefficients I: Binomial coefficients modulo prime powers253
A new look at the airy equation with fences and funnels277
The 3x + 1 problem and its generalizations305
The search for a finite projective plane of order 10335
New visualization ideas for differential equations357
Selected images from the Proceedings383
Internet, executable content, and the future of mathematical science communication387
On Kruskal's principle407

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