Cauchy and the Creation of Complex Function Theory (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2008

0521068878 / 9780521068871

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Paperback. 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. Dr Smithies analyses the process whereby Cauchy created one of the most important branch of mathematics discovered in the nineteenth century. It is the first book to make use of the whole spectrum of available original sources, and will be recognised as the authoritative work on the creation of complex function theory. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Title
Cauchy and the Creation of Complex Function Theory (Paperback)
Author
Frank Smithies
Publisher
Cambridge University Press, Cambridge
Publication year
2008
Condition
new
Binding
Paperback
Language
English
ISBN 10
0521068878
ISBN 13
9780521068871
Edition
1st Edition

CitiRetail

Stevenage, United Kingdom

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