Nonstandard Analysis for the Working Mathematician, Peter A. Loeb; Manfred P. H. Wolff

Название: Nonstandard analysis for the working mathematician
ISBN: 9401773262 ISBN-13(EAN): 9789401773263
Издательство: Springer
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Описание: 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.

Автор: Dauben Joseph Warren
Название: Abraham Robinson: The Creation of Nonstandard Analysis, a Personal and Mathematical Odyssey
ISBN: 0691602913 ISBN-13(EAN): 9780691602912
Издательство: Wiley
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Описание: One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician`s person

Автор: Leif O. Arkeryd; Nigel J. Cutland; C. Ward Henson
Название: Nonstandard Analysis
ISBN: 079234586X ISBN-13(EAN): 9780792345862
Издательство: Springer
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Цена: 35218.00 р.
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Описание: A detailed introduction to the methodology of nonstandard analysis and the foundations of its use in analysis, topology, probability theory and stochastic analysis. Articles concerning more advanced applications in functional analysis include those on stochastic differential equations.

Автор: Vladimir Kanovei; Michael Reeken
Название: Nonstandard Analysis, Axiomatically
ISBN: 3642060773 ISBN-13(EAN): 9783642060779
Издательство: Springer
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Цена: 13275.00 р.
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Описание: In the aftermath of the discoveries in foundations of mathematiC's there was surprisingly little effect on mathematics as a whole. If one looks at stan- dard textbooks in different mathematical disciplines, especially those closer to what is referred to as applied mathematics, there is little trace of those developments outside of mathematical logic and model theory. But it seems fair to say that there is a widespread conviction that the principles embodied in the Zermelo - Fraenkel theory with Choice (ZFC) are a correct description of the set theoretic underpinnings of mathematics. In most textbooks of the kind referred to above, there is, of course, no discussion of these matters, and set theory is assumed informally, although more advanced principles like Choice or sometimes Replacement are often mentioned explicitly. This implicitly fixes a point of view of the mathemat- ical universe which is at odds with the results in foundations. For example most mathematicians still take it for granted that the real number system is uniquely determined up to isomorphism, which is a correct point of view as long as one does not accept to look at "unnatural" interpretations of the membership relation.

Автор: Leif O. Arkeryd; Nigel J. Cutland; C. Ward Henson
Название: Nonstandard Analysis
ISBN: 9401063354 ISBN-13(EAN): 9789401063357
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute on Nonstandard Analysis and its Applications, International Centre for Mathematical Studies, Endinburgh, Scotland, 30 June-13 July 1996

Автор: Grigorieva, Ellina
Название: Methods of solving nonstandard problems
ISBN: 3319198866 ISBN-13(EAN): 9783319198866
Издательство: Springer
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Цена: 2795.00 р.
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Описание: Methods of Solving Nonstandard Problems

Автор: Peter Schuster; Ulrich Berger; Horst Osswald
Название: Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum
ISBN: 9048158850 ISBN-13(EAN): 9789048158850
Издательство: Springer
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Описание: Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999

Автор: A.E. Hurd
Название: Nonstandard Analysis - Recent Developments
ISBN: 3540122796 ISBN-13(EAN): 9783540122791
Издательство: Springer
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Автор: Imme van den Berg
Название: Nonstandard Asymptotic Analysis
ISBN: 3540177671 ISBN-13(EAN): 9783540177678
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Considers the subject of asymptotics from a nonstandard view point. Noting that within nonstandard analysis, `small`, `large`, and `domain of validity of asymptotic behaviour` have a precise meaning, this research monograph develops a nonstandard alternative to classical asymptotics.

Автор: Stanislav Antontsev; Sergey Shmarev
Название: Evolution PDEs with Nonstandard Growth Conditions
ISBN: 9462391114 ISBN-13(EAN): 9789462391116
Издательство: Springer
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Описание: The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions.