Cauchy and the Creation of Complex Function Theory

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April 2008



Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory.


1. Introduction; 2. The background to Cauchy's work on complex function theory; 3. Cauchy's 1814 memoir on definite integrals; 4. Miscellaneous contributions (1815-1825); 5. The 1825 memoir and associated papers; 6. The calculus of residues; 7. The Lagrange series and the Turin memoirs; 8. Summary and conclusions; References.


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 Mathematique 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
EAN: 9780521068871
ISBN: 0521068878
Untertitel: Sprache: Englisch.
Erscheinungsdatum: April 2008
Seitenanzahl: 228 Seiten
Format: kartoniert
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