Nonstandard Analysis for the Working Mathematician

Language: English

Published by Springer, Springer Sep 2015, 2015

9401773262 / 9789401773263

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This item is printed on demand - Print on Demand Titel. Neuware -Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ¿secret weapon¿ by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler¿s internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems.All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 500 pp. Englisch.

Seller Inventory # 9789401773263

Title
Nonstandard Analysis for the Working Mathematician
Author
Peter A. Loeb
Publisher
Springer, Springer Sep 2015
Publication year
2015
Condition
Neu
Binding
Buch
Language
English
ISBN 10
9401773262
ISBN 13
9789401773263
Edition
2nd Edition
Item weight
910 grams
Dimensions
241x160x33 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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