Nonstandard Analysis for the Working Mathematician

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
subject_code
PBKF
target_audience
General/trade
is_adult_product
false
edition_number
2
binding
paperback
edition
Softcover reprint of the original 2nd ed. 2015
MPN
N/A
batteries_required
false
manufacturer
Springer
Brand
Springer
number_of_items
1
pages
500
genre
Functional analysis & transforms
publication_date
2016-10-23T00:00:01Z
unspsc_code
55101500
batteries_included
false
ISBN
9789401776240
Category

About this product

Product Identifiers

Publisher
Springer Netherlands
ISBN-10
9401776245
ISBN-13
9789401776240
eBay Product ID (ePID)
240487054

Product Key Features

Number of Pages
Xv, 481 Pages
Publication Name
Nonstandard Analysis for the Working Mathematician
Language
English
Publication Year
2016
Subject
Game Theory, Functional Analysis, Logic, Mathematical Analysis
Type
Textbook
Author
Manfred P. H. Wolff
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
1 in
Item Weight
264.2 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Edition Number
2
Intended Audience
Trade
Dewey Edition
21
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Simple Nonstandard Analysis and Applications.- An Introduction to General Nonstandard Analysis.- Topology and Measure Theory.- Banach Spaces and Linear Operators.- General and End Compactifications.- Measure theory and integration.- Stochastic Analysis.- New Understanding of Stochastic Independence.- Nonstandard Analysis in Mathematical Economics.- Density Problems and Freiman's Inverse Problem.- Hypernatural numbers as ultrafilters.
Synopsis
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., Simple Nonstandard Analysis and Applications.- An Introduction to General Nonstandard Analysis.- Topology and Measure Theory.- Banach Spaces and Linear Operators.- General and End Compactifications.- Measure theory and integration.- Stochastic Analysis.- New Understanding of Stochastic Independence.- Nonstandard Analysis in Mathematical Economics.- Density Problems and Freiman's Inverse Problem.- Hypernatural numbers as ultrafilters.
LC Classification Number
QA319-329.9

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