Can I read Applied Nonstandard Analysis (Pure and Applied Mathematics) on EtoBox?

Applied Nonstandard Analysis (Pure and Applied Mathematics) by Martin Davis; S F Soprunov; Vladimir Andreevič Uspenskij is a nonfiction available to read on EtoBox.

What is Applied Nonstandard Analysis (Pure and Applied Mathematics) about?

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

Who reads Applied Nonstandard Analysis (Pure and Applied Mathematics)?

Author

Martin Davis; S F Soprunov; Vladimir Andreevič Uspenskij

Publisher

John Wiley & Sons, Incorporated

Published

1977

Language

EN

ISBN

9780486442297

Category

nonfiction

Subjects

Mathematics, History, Humanities