Infinitesimal Analysis
Author:   E.I. Gordon ,  A.G. Kusraev ,  Semën Samsonovich Kutateladze
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   544
ISBN:  

9781402007385


Pages:   422
Publication Date:   30 June 2002
Format:   Hardback
Availability:   In Print   Availability explained
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Infinitesimal Analysis


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Overview

Infinitesimal analysis, once a synonym for calculus, is a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960s with the epithet ""nonstandard"", infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. This book sets forth the basics of the theory, as well as up-to-date applications in, for example, functional analysis, optimization, and harmonic analysis.

Full Product Details

Author:   E.I. Gordon ,  A.G. Kusraev ,  Semën Samsonovich Kutateladze
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   544
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.40cm
Weight:   1.750kg
ISBN:  

9781402007385


ISBN 10:   1402007388
Pages:   422
Publication Date:   30 June 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Excursus into the History of Calculus.- 2. Naive Foundations of Infinitesimal Analysis.- 3. Set-Theoretic Formalisms of Infinitesimal Analysis.- 4. Monads in General Topology.- 5. Infinitesimals and Subdifferentials.- 6. Technique of Hyperapproximation.- 7. Infinitesimals in Harmonic Analysis.- 8. Exercises and Unsolved Problems.- References.- Notation Index.

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