The Mathematical Revolution Inspired by Computing
Published in July 1991
Book
Hardback
339 pages
978-0-19-853658-1 (ISBN)
Description
The impact that computers have had on mathematics and mathematicians is profound. This volume presents a survey of the many ways in which this influence has been felt and the implications these have for the future development of mathematics. Individual chapters cover topics as diverse as automated theorem proving, computational algebra, word-processing algorithms, the Z specification language for computer systems, the use of types in computing, neural networks, and dynamical systems. All the contributors are specialists in their respective fields and as a result, not only does the volume provide insights into how computers are used in mathematics, but also (perhaps more significantly) how the advent of computers has changed both the way mathematicians work and the nature of the problems they study.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, 73 line illustrations
Dimensions
Height: 234 mm
Width: 156 mm
Weight
722 gr
ISBN-13
978-0-19-853658-1 (9780198536581)
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Schweitzer Classification
Content
Part 1 An introduction to the mathematical revolution inspired by computing: an introduction to the mathematical revolution inspired by computing, Jeffrey Johnson. Part 2 Computers in mathematics: cryptography - the catalyst, Fred Piper; the return of the visual, R.V.Evans; the mathematics of chaos, D.K.Arrowsmith; computing the unpredictable - deterministic chaos and the nervous system, Arun V.Holden; word processing algorithms, rewrite rules and group theory, D.B.A.Epstein; computer assisted proof for mathematics - an introduction using the LEGO proof system, Rod Burstall; a new method of automated theorem proving, YANG Lu; making discrete mathematics executable on a computer, R.D.Knott; the wider uses of the Z specification language in mathematical modelling, Allan Norcliffe; scene analysis via Galois lattices, M.Andrew, D.Base, et al; the mathematics of complex systems, Jeffrey Johnson. Part 3 Mathematics in computing: the mathematics of complex computational systems, Stephen B.Seidman; a Euclidean basis for computation, Dan Simpson; an extension of turing machines, Claudio Sossai; algorithmic languages and the computability of functions, Newcomb Greenleaf; the parallel computation hypothesis and its applications to computer science, V.J.Rayward-Smith; the mathematics of complexity in computing and software engineering, N.E.Fenton; the mathematics and computer science, Meurig Beynon and Steve Russ; the end of the defensive era of mathematics, M C.Ormell; revolution, evolution or renaissance? D.J.Cooke; the superfluous paradigm, Daniel I.A.Cohen.