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 The Theory of Groups by Prof. Martin Davis
Cover of the book Sundials by Prof. Martin Davis
Cover of the book The Theory of Algebraic Numbers by Prof. Martin Davis
Cover of the book Introduction to Mathematical Fluid Dynamics by Prof. Martin Davis
Cover of the book A Survey of Matrix Theory and Matrix Inequalities by Prof. Martin Davis
Cover of the book Vitruvius Britannicus by Prof. Martin Davis
Cover of the book Tibetan Religious Art by Prof. Martin Davis
Cover of the book The Tempest by Prof. Martin Davis
Cover of the book Ghosts by Prof. Martin Davis
Cover of the book Pen and Pencil Drawing Techniques by Prof. Martin Davis
Cover of the book Elizabethan Poetry by Prof. Martin Davis
Cover of the book Spheroidal Wave Functions by Prof. Martin Davis
Cover of the book Wildlife Sketching: Pen, Pencil, Crayon and Charcoal by Prof. Martin Davis
Cover of the book The Best Supernatural Tales of Arthur Conan Doyle by Prof. Martin Davis
Cover of the book Two Little Savages 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