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 How to Design and Make Wood Reliefs by Prof. Martin Davis
Cover of the book Dictionary of Spoken Spanish by Prof. Martin Davis
Cover of the book Margeau Blanc by Prof. Martin Davis
Cover of the book Twilight of the Idols by Prof. Martin Davis
Cover of the book East O' the Sun and West O' the Moon by Prof. Martin Davis
Cover of the book Traditional Scandinavian Knitting by Prof. Martin Davis
Cover of the book The Oil Jar and Other Stories by Prof. Martin Davis
Cover of the book The Soul of the Indian by Prof. Martin Davis
Cover of the book Tatting Patterns and Designs by Prof. Martin Davis
Cover of the book Mathematical Foundations of Information Theory by Prof. Martin Davis
Cover of the book Secret Teachings of a Comic Book Master by Prof. Martin Davis
Cover of the book Old-Time Children Vignettes in Full Color by Prof. Martin Davis
Cover of the book Four Lives by Prof. Martin Davis
Cover of the book The Way of Perfection by Prof. Martin Davis
Cover of the book 500 Small Houses of the Twenties 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