Nonstandard Analysis and its Applications - Brossura

Cutland, Nigel

Brossura

ISBN 10: 0521359473 ISBN 13: 9780521359474

Casa editrice: Cambridge University Press, 2009

Riassunto

This textbook is an introduction to non-standard analysis and to its many applications.

Su questo libro

Descrizione del libro

This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology.

Contenuti

Preface; Contributors; 1. An invitation to non standard analysis Tom Lindstrøm; 2. Infinitesimal in probability theory H. Jerome Keisler; 3. Infinitesimals in functional analysis C. Ward Henson; 4. Applications of non standard analysis in mathematical physics Sergio Albervio; 5. A lattice formulation of real and vector valued integrals Peter A. Loeb; 6. An application of non standard methods to computational group theory B. Benninghofen and M.M. Richter; 7. Syntactical methods in infinitesimal analysis Francine Deiner and Keith D. Stroyan; 8. Some asymptotic results in ordinary differential equations Francine and Marc Diener; 9. Superinfinitesimals and inductive limits Keith D. Stroyan; 10. The non-linear boltzmann equation far from equilibrium Leif Arkeryd; Index.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0521359473
• ISBN 13: 9780521359474
• Rilegatura: Copertina flessibile
• Numero di pagine: 364
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia