Applied Nonstandard Analysis by Davis, Martin

Applied Nonstandard Analysis (Paperback) (ISBN-13: 9780486442297)

Vendor: Martin Davis
Product type: Books
Format: Paperback
$14.95
$14.95
$14.95
Subtotal: $14.95
Applied Nonstandard Analysis by Davis, Martin

Applied Nonstandard Analysis

$14.95
Applied Nonstandard Analysis by Davis, Martin

Applied Nonstandard Analysis

$14.95
Format: Paperback
Description
Description
x
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

Author: Martin Davis
ISBN-10: 0486442292
ISBN-13: 9780486442297
Publisher: Dover Publications
Language: English
Published: 07/26/2005
Pages: 208
Format: Paperback
Weight: 0.48lbs
Size: 8.50h x 5.42w x 0.43d
By Martin Davis
By Martin Davis
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Martin Davis: Computer Science Pioneer
Dover's publishing relationship with Martin Davis, now retired from NYU and living in Berkeley, goes back to 1985 when we reprinted his classic 1958 book Computability and Unsolvability, widely regarded as a classic of theoretical computer science. A graduate of New York's City College, Davis received his PhD from Princeton in the late 1940s and became one of the first computer programmers in the early 1950s, working on the ORDVAC computer at The University of Illinois. He later settled at NYU where he helped found the Computer Science Department.

Not many books from the infancy of computer science are still alive after several decades, but Computability and Unsolvability is the exception. And The Undecidable is an anthology of fundamental papers on undecidability and unsolvability by major figures in the field including Godel, Church, Turing, Kleene, and Post.

Critical Acclaim for Computability and Unsolvability:
This book gives an expository account of the theory of recursive functions and some of its applications to logic and mathematics. It is well written and can be recommended to anyone interested in this field. No specific knowledge of other parts of mathematics is presupposed. Though there are no exercises, the book is suitable for use as a textbook. -- J. C. E. Dekker, Bulletin of the American Mathematical Society, 1959

Critical Acclaim for The Undecidable:
A valuable collection both for original source material as well as historical formulations of current problems. -- The Review of Metaphysics

Much more than a mere collection of papers . . . a valuable addition to the literature. -- Mathematics of Computation

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