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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.
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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
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Cauchy & Creation Function Theory
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ISBN 13: 9780521068871
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Cauchy and the Creation of Complex Function Theory
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Cauchy & Creation Function Theory
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Cauchy and the Creation of Complex Function Theory
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Cauchy & Creation Function Theory
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Cauchy and the Creation of Complex Function Theory
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Paperback. Condition: New. 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. Seller Inventory # LU-9780521068871
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Cauchy and the Creation of Complex Function Theory (Volume 0)
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Cauchy and the Creation of Complex Function Theory
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ISBN 10: 0521068878
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Cauchy & Creation Function Theory
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ISBN 10: 0521068878
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Condition: New. Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory. Num Pages: 228 pages, 2 b/w illus. BIC Classification: PBKD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 228 x 152 x 13. Weight in Grams: 340. . 2008. Reissue. paperback. . . . . Seller Inventory # V9780521068871
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Cauchy and the Creation of Complex Function Theory
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