MTU Library Catalogue

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Organic mathematics : proceedings of the Organic Mathematics Workshop, December 12-14, 1995, Simon Fraser University, Burnaby, British Columbia / J. Borwein ... [et al.], editors.

By: Organic Mathematics Workshop (1995 : Simon Fraser University).
Contributor(s): Borwein, Jonathan M.
Material type: materialTypeLabelBookSeries: Conference proceedings (Canadian Mathematical Society): v. 20.Publisher: Providence, R.I. : American Mathematical Society for the Canadian Mathematical Society, c1997Description: ix, 412 p. : ill. ; 26 cm. + pbk.ISBN: 0821806688.Subject(s): Mathematics -- CongressesDDC classification: 510
Contents:
Pfaff's method (III):comparison with WZ method -- Ramanujan, modular equations, and approximation to pi or how to compute one billion units of pi -- Recognising numerical constants -- Approximations to pi via the Dedekind eta function -- The beta expansion for Salem numbers -- Juggling drops and descents -- GL(4)-orbits in a 16-dimensional module for characteristic 3 -- Binary cubic forms and cubic number fields -- Continued fractions and chaos -- A nonlinear equation and its application to nearest neighbor spacing for zeros of the zeta function and eigenvalues of random matrices -- Arithmetic properties of binomial coefficients I:binomial coefficients modulo prime powers -- A new look at the airy equation with fences and funnels -- The 3x+1 problem and its generalizations -- The search for a finite projectice plane of order 10 -- New visualization ideas for differential equations -- Selected images from the proceedings.

Enhanced descriptions from Syndetics:

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.

Includes bibliographical references.

Pfaff's method (III):comparison with WZ method -- Ramanujan, modular equations, and approximation to pi or how to compute one billion units of pi -- Recognising numerical constants -- Approximations to pi via the Dedekind eta function -- The beta expansion for Salem numbers -- Juggling drops and descents -- GL(4)-orbits in a 16-dimensional module for characteristic 3 -- Binary cubic forms and cubic number fields -- Continued fractions and chaos -- A nonlinear equation and its application to nearest neighbor spacing for zeros of the zeta function and eigenvalues of random matrices -- Arithmetic properties of binomial coefficients I:binomial coefficients modulo prime powers -- A new look at the airy equation with fences and funnels -- The 3x+1 problem and its generalizations -- The search for a finite projectice plane of order 10 -- New visualization ideas for differential equations -- Selected images from the proceedings.

Table of contents provided by Syndetics

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