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Applied Nonstandard Analysis






Pub Date: 
Publisher:  Dover Publications, Incorporated
Summary: Geared toward upper-level undergraduates and graduate students, this text assumes no 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 thorough the basic topics of elementary real analysis, topological spaces, and Hilbert space. Importan...t subjects 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. 1977 ed.

Davis, Martin is the author of Applied Nonstandard Analysis, published 2005 under ISBN 9780486442297 and 0486442292. Two hundred one Applied Nonstandard Analysis textbooks are available for sale on ValoreBooks.com, fifty one used from the cheapest price of $11.82, or buy new starting at $11.82.
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Applied Nonstandard Analysis

ISBN-13: 9780486442297

ISBN: 0486442292

Pub Date:
Publisher: Dover Publications, Incorporated
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