Cauchy and the Creation of Complex Function Theory - Hardcover

Smithies, Frank

Hardcover

ISBN 10: 052159278X ISBN 13: 9780521592789

Publisher: Cambridge University Press, 1997

Synopsis

In this book, Dr. Smithies analyzes the process through which 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 is the first to make use of the whole spectrum of available original sources and will be recognized as the authoritative work on the creation of complex function theory.

About this title

Book Description

Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original sources.

Review

"...this scholarly work is recommended for upper-division undergraduates through researchers and historians of mathematics." Choice

"This book is a welcome addition to the literature." Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• Language: English
• ISBN 10: 052159278X
• ISBN 13: 9780521592789
• Binding: Hardcover
• Edition number: 1
• Number of pages: 228