Computers in mathematical research : based on the proceedings of a conference

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書誌事項

Computers in mathematical research : based on the proceedings of a conference

organized by the Institute of Mathematics and its Applications on Computers in Mathematical Research, held at University College, Cardiff in September 1986 ; edited by N.M. Stephens and M.P. Thorne

（The Institute of Mathematics and its Applications conference series, New series ; 14）

Clarendon Press , Oxford University Press, 1988

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注記

"Conference on Computers in Mathematical Research, ... on the 29th and 30th September 1986" -- Pref

Includes bibliograhies

内容説明・目次

内容説明

This collection of articles, by mathematicians from a wide range of disciplines, explores many ways in which computers are used in mathematical research, taken from the results of a conference on this subject at University College, Cardiff in 1986. The contributors highlight the ways in which computers are utilized as a mathematical tool both to explore and to prove results in a wide range of topics. There are sections on the impact of the computer on research in number theory (including the Riemann Zeta function), cryptography, combinatorics, symbolic manipulation, geometry, group theory, statistics and applied mathematics. The book aims to show how the computer has become a valuable research tool, able to perform otherwise tedious calculations which reveal interesting directions for further research and, on occasion, capable of providing the means of proof of particular results.

目次

  • Preface. Contributors. Some recent discoveries in number theory and analysis made by the use of a computer
  • some computations relating to the Riemann Zeta function
  • implementing data security
  • multi-dimensional continued fractions and their applications
  • probabilistic prime tests
  • Galois module structure of elliptic functions
  • computations for additive diophantine equations - pairs of quintic congruences 2
  • integration in closed form
  • some applications of computers in design theory
  • computing for the arithmetic of geometries
  • groups - a database for computational algebra
  • partially ordered sets and sorting
  • results in elasticity theory using complex FORTRAN
  • the influence of computers in statistics
  • integral equations in traffic noise simulation
  • industrial numerical analysis.

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