Applied Nonstandard Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Applied Nonstandard Analysis by Prof. Martin Davis, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Prof. Martin Davis ISBN: 9780486152349
Publisher: Dover Publications Publication: June 10, 2014
Imprint: Dover Publications Language: English
Author: Prof. Martin Davis
ISBN: 9780486152349
Publisher: Dover Publications
Publication: June 10, 2014
Imprint: Dover Publications
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

More books from Dover Publications

Cover of the book Spanish-American Poetry (Dual-Language) by Prof. Martin Davis
Cover of the book Laplace Transforms and Their Applications to Differential Equations by Prof. Martin Davis
Cover of the book A Long Way from Euclid by Prof. Martin Davis
Cover of the book The Age of Innocence by Prof. Martin Davis
Cover of the book Lady Windermere's Fan by Prof. Martin Davis
Cover of the book Mechanical Vibrations by Prof. Martin Davis
Cover of the book Eight Lectures on Theoretical Physics by Prof. Martin Davis
Cover of the book The Heart of Happy Hollow by Prof. Martin Davis
Cover of the book Boundary and Eigenvalue Problems in Mathematical Physics by Prof. Martin Davis
Cover of the book The Importance of Being Earnest by Prof. Martin Davis
Cover of the book A Scientist at the Seashore by Prof. Martin Davis
Cover of the book Shell Craft by Prof. Martin Davis
Cover of the book Tik-Tok of Oz by Prof. Martin Davis
Cover of the book Geometry and Symmetry by Prof. Martin Davis
Cover of the book Applied Iterative Methods by Prof. Martin Davis
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy