Nonstandard Analysis (Dover Books on Mathematics)
Robert, Alain M.
ISBN 10: 0486432793 ISBN 13: 9780486432793
Verlag: Dover Publications, 2011
Gebraucht
paperback
Verkäufer
Your Online Bookstore, Houston, TX, USA
Verkäuferbewertung 5 von 5 Sternen
AbeBooks-Verkäufer seit 6. Juli 2010
Dieser Artikel ist nicht mehr verfügbar.
Beschreibung
Beschreibung:
Bestandsnummer des Verkäufers 0486432793-3-36909704
Inhaltsangabe:
This wonderful little book by Alain Robert should bring about a complete change in the learning of NSA. The author has accomplished a rare feat in the educational literature. He has succeeded in writing a book which is simple and brilliant, deep and witty, short and far-ranging. This is mathematics teaching at its best." &; J.-M. Lévy-Leblond, European Journal of Physics
Brief and readable, this introduction to nonstandard analysis is based on the axiomatic IST (internal set theory) approach. The two-part treatment starts with a clear, rigorous exposition of theory, followed by self-contained chapters on applications. Exercises appear at the conclusion of each chapter, with hints in addition to full solutions. Theoretical topics include idealization, standardization and transfer, real numbers and numerical functions, continuity, differentiability, and integration. Chapters involving applications cover invariant means, approximation of functions, differential equations, perturbation of a Green function, and an invariant subspaces problem.
Brief and readable, this introduction to nonstandard analysis is based on the axiomatic IST (internal set theory) approach. The two-part treatment starts with a clear, rigorous exposition of theory, followed by self-contained chapters on applications. Exercises appear at the conclusion of each chapter, with hints in addition to full solutions. Theoretical topics include idealization, standardization and transfer, real numbers and numerical functions, continuity, differentiability, and integration. Chapters involving applications cover invariant means, approximation of functions, differential equations, perturbation of a Green function, and an invariant subspaces problem.
Über die Autorin bzw. den Autor:
Alain M. Robert is an active Professor of Mathematics at the University of Neuchatel in Switzerland.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Bibliografische Details
Titel: Nonstandard Analysis (Dover Books on ...
Verlag: Dover Publications
Erscheinungsdatum: 2011
Einband: paperback
Zustand: Good