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Item Details
Title:
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ADVANCES IN ANALYSIS, PROBABILITY AND MATHEMATICAL PHYSICS
CONTRIBUTIONS OF NONSTANDARD ANALYSIS |
By: |
Sergio Albeverio (Editor), W. A. J. Luxemburg (Editor), Manfred P. H. Wolff (Editor) |
Format: |
Hardback |
List price:
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£71.00 |
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further information.
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ISBN 10: |
0792331915 |
ISBN 13: |
9780792331919 |
Publisher: |
SPRINGER |
Pub. date: |
30 November, 1994 |
Edition: |
1995 ed. |
Series: |
Mathematics and Its Applications 314 |
Pages: |
252 |
Description: |
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called 'Nonstandard analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This work looks at the various directions in which nonstandard analysis is advancing. |
Synopsis: |
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis'. `Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics. |
Illustrations: |
X, 252 p. |
Publication: |
Netherlands |
Imprint: |
Springer |
Returns: |
Returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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