Applied Nonstandard Analysis - Rilegato

Davis, Martin

Rilegato

ISBN 10: 0471198978 ISBN 13: 9780471198970

Casa editrice: John Wiley & Sons Inc, 1977

Riassunto

Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis, topological spaces, and Hilbert space. Important topics include nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. The focus on compact operators on a Hilbert space includes the Bernstein-Robinson theorem on invariant subspaces, which was first proved with nonstandard methods. Ever mindful of the needs of readers with little background in these subjects, the text offers a straightforward treatment that provides a strong foundation for advanced studies of analysis

Su questo libro

Product Description:

Book by Davis Martin

Su questa edizione

• Editore: John Wiley & Sons Inc
• Data di pubblicazione: 1977
• ISBN 10: 0471198978
• ISBN 13: 9780471198970
• Rilegatura: Copertina rigida
• Numero di pagine: 196