Cauchy and the Creation of Complex Function Theory

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9780521592789: Cauchy and the Creation of Complex Function Theory

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

"Sobre este título" puede pertenecer a otra edición de este libro.

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Smithies, Frank
Editorial: Cambridge University Press (2017)
ISBN 10: 052159278X ISBN 13: 9780521592789
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Descripción Cambridge University Press, 2017. Hardcover. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería P11052159278X

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Smithies, Frank
Editorial: Cambridge University Press (1997)
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Descripción Cambridge University Press, 1997. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780521592789

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Smithies, Frank
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Descripción Cambridge University Press, 1997. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780521592789

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Descripción Cambridge University Press, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780521592789_lsuk

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FRANK SMITHIES
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Descripción 1997. Hardback. Estado de conservación: NEW. 9780521592789 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0464971

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Descripción Cambridge Univ Pr, 1997. Hardcover. Estado de conservación: Brand New. 216 pages. 9.50x6.50x0.75 inches. In Stock. Nº de ref. de la librería __052159278X

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Frank Smithies
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Hardback. Estado de conservación: New. New.. Language: English . Brand New Book ***** Print on Demand *****.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. Nº de ref. de la librería APC9780521592789

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Smithies, Frank
Editorial: Cambridge University Press (1997)
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Descripción Cambridge University Press, 1997. Hardcover. Estado de conservación: New. Nº de ref. de la librería INGM9780521592789

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Frank Smithies
Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10: 052159278X ISBN 13: 9780521592789
Nuevos Tapa dura Cantidad: 10
Impresión bajo demanda
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The Book Depository US
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Hardback. Estado de conservación: New. New.. Language: English . Brand New Book ***** Print on Demand *****. 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. Nº de ref. de la librería APC9780521592789

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10.

Frank Smithies
Editorial: Cambridge University Press
ISBN 10: 052159278X ISBN 13: 9780521592789
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BuySomeBooks
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Descripción Cambridge University Press. Hardcover. Estado de conservación: New. Hardcover. 228 pages. Dimensions: 9.1in. x 6.3in. x 1.0in.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 Cauchys 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 Cauchys hands. Controversies associated with the birth of complex function theory are described in detail. Throughout, new light is thrown on Cauchys 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Nº de ref. de la librería 9780521592789

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