An Introduction to the Study of Integral Equations - Brossura

Bocher, Maxime

Brossura

ISBN 10: 1107493498 ISBN 13: 9781107493490

Casa editrice: Cambridge University Press, 2015

Riassunto

First published in 1914, this book was written to provide readers with 'the main portions of the theory of integral equations'.

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Descrizione del libro

First published in 1914, this book was written to provide readers with 'the main portions of the theory of integral equations in a readable and, at the same time, accurate form, following roughly the lines of historical development'. Textual notes are incorporated throughout.

Contenuti

Introduction; 1. Some preliminary propositions and definitions; 2. Abel's mechanical problem; 3. Solution of Abel's equation; 4. Liouville's introduction of integral equations of the second kind; 5. The method of successive substitutions; 6. Voltera's treatment of equations of the second kind. Iterated and reciprocal functions; 7. Linear equations with an infinite number of variables; 8. Fredholm's solution; 9. The integral equation with a parameter; 10. The fundamental theorem concerning homogeneous integral equations, with some applications; 11. Symmetric kernels; 12. Orthogonal functions; 13. The integral equation of the first kind whose kernel is finite; 14. Equations of the first kind whose kernel or whose interval is not finite; Index.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 1107493498
• ISBN 13: 9781107493490
• Rilegatura: Copertina flessibile
• Numero di pagine: 80
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia