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

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Brand new. We distribute directly for the publisher. 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. Read more Show Less

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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.

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Product Details

Table of Contents

Preface
What is organic mathematics? 1
Pfaff's method (III): Comparison with the WZ method 19
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi 35
Recognizing numerical constants 73
Approximations to [pi] via the Dedekind eta function 89
The beta expansion for Salem numbers 117
Juggling drops and descents 133
GL(4)-orbits in a 16-dimensional module for characteristic 3 155
Binary cubic forms and cubic number fields 175
Continued fractions and chaos 205
A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices 239
Arithmetic properties of binomial coefficients I: Binomial coefficients modulo prime powers 253
A new look at the airy equation with fences and funnels 277
The 3x + 1 problem and its generalizations 305
The search for a finite projective plane of order 10 335
New visualization ideas for differential equations 357
Selected images from the Proceedings 383
Internet, executable content, and the future of mathematical science communication 387
On Kruskal's principle 407
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