Cauchy and the Creation of Complex Function Theory by Frank Smithies
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Cauchy and the Creation of Complex Function Theory
By Frank Smithies

Cauchy and the Creation of Complex Function Theory

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Format: Paperback

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Cauchy and the Creation of Complex Function Theory by Frank Smithies

Book Description

Between 1814 and 1831, the great French mathematician A. L. Cauchy created practically single-handedly a new branch of pure mathematics. Complex function theory was and remains of central importance, and its creation marked the start of one of the most exciting periods in the development of mathematics. In this book Dr Smithies analyses the process whereby Cauchy created the basic structure of complex analysis, describing first the eighteenth-century background before proceeding to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions brought about by over-ambitious assumptions, as well as the improvements that came about as the subject developed in Cauchy's hands. Controversies associated with the birth of complex function theory are described in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This book makes use of the whole spectrum of available original sources; it will be recognised as the authoritative work on the creation of complex function theory.

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Book Details

ISBN: 9780521068871
ISBN-10: 0521068878
Format: Paperback
(228mm x 152mm x 13mm)
Pages: 228
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Jul-2008
Country of Publication: United Kingdom

Other Editions...


Books By Author Frank Smithies

Integral Equations by Frank Smithies Integral Equations, Paperback (January 2009)

This tract is devoted to the theory of linear equations, mainly of the second kind, associated with the names of Volterra, Fredholm, Hilbert and Schmidt.

Cauchy and the Creation of Complex Function Theory by Frank Smithies Cauchy and the Creation of Complex Function Theory, Hardback (November 1997)

Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory.

» View all books by Frank Smithies

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