Cauchy and the Creation of Complex Function Theory - Couverture rigide

Smithies, Frank

 
9780521592789: Cauchy and the Creation of Complex Function Theory
Couverture rigide
ISBN 10 : 052159278X ISBN 13 : 9780521592789
Editeur : Cambridge University Press, 1997

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

Review of the hardback: 'This exemplary book is the first thorough and comprehensive presentation of Cauchy's creation between 1814 and 1831, of complex function theory ... the papers form a diary that testifies to the gradual development of a new field in the mind of an outstanding mathematician.' D. Laugwitz, Darmstadt

Review of the hardback: ' ... an invaluable guide to anyone interested in the work of a great mathematician'. Jeremy Gray, The Open University

Review of the hardback: 'This book is a welcome contribution to the history of mathematical ideas. It is carefully written ... in the case of a great mathematician of the first half of the nineteenth century, it is very useful to have a book analyzing his ideas. Smithie's book helps us understand the technical achievements of Cauchy in founding the theory of complex functions.' The Mathematical Gazette

Review of the hardback: '... new light is thrown on Cauchy's thinking.' L'Enseignment Mathématique

Review of the hardback: '... a unique source not only for the historians of mathematics but to all who are fascinated by the beauty of the complex function theory.' European Mathematical Society

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1997
Langue
anglais
ISBN 10 
052159278X
ISBN 13 
9780521592789
Reliure
Relié
Nombre de pages
228
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521068871: Cauchy & Creation Function Theory

Edition présentée

ISBN 10 :  0521068878 ISBN 13 :  9780521068871
Editeur : Cambridge University Press, 2008
Couverture souple