Organic mathematics : proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University, Burnaby, British Columbia
著者
書誌事項
Organic mathematics : proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University, Burnaby, British Columbia
（Conference proceedings / Canadian Mathematical Society, v. 20）
American Mathematical Society for the Canadian Mathematical Society, c1997
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
What is organic mathematics? by J. M. Borwein, P. B. Borwein, R. M. Corless, L. Jorgenson, and N. Sinclair Invited Articles: Pfaff's method (III): Comparison with the WZ method by G. E. Andrews Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi by D. H. Bailey, J. M. Borwein, and P. B. Borwein Recognizing numerical constants by D. H. Bailey and S. Plouffe Approximations to $\pi$ via the Dedekind eta function by J. M. Borwein and F. G. Garvan The beta expansion for Salem numbers by D. W. Boyd Juggling drops and descents by J. Buhler, D. Eisenbud, R. Graham, and C. Wright $GL(4)$-orbits in a 16-dimensional module for characteristic 3 by A. M. Cohen and D. B. Wales Binary cubic forms and cubic number fields by K. Belabas and H. Cohen Continued fractions and chaos by R. M. Corless A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices by P. J. Forrester and A. M. Odlyzko Arithmetic properties of binomial coefficients I: Binomial coefficients modulo prime powers by A. Granville A new look at the airy equation with fences and funnels by J. H. Hubbard, J. M. McDill, A. Noonburg, and B. H. West The $3x+1$ problem and its generalizations by J. C. Lagarias The search for a finite projective plane of order 10 by C. W. H. Lam New visualization ideas for differential equations by S. Wagon Selected images from the Proceedings Associated Articles: Internet, executable content, and the future of mathematical science communication by S. P. Braham On Kruskal's principle by W. Haga and S. Robins.
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