Victoria Symposium on Nonstandard Analysis PDF Download

Author: A. Hurd
Publisher: Springer
ISBN: 3540379282
Category : Mathematics
Languages : en
Pages : 361

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Author: Abraham Robinson
Publisher: Princeton University Press
ISBN: 1400884225
Category : Mathematics
Languages : en
Pages : 315

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Book Description
Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

Author: W. M. Everitt
Publisher: Springer
ISBN: 3540375171
Category : Mathematics
Languages : en
Pages : 573

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Author: Martin Davis
Publisher: Courier Corporation
ISBN: 0486152340
Category : Mathematics
Languages : en
Pages : 210

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This applications-oriented text assumes no knowledge of mathematical logic in its development of nonstandard analysis techniques and their applications to elementary real analysis and topological and Hilbert space. 1977 edition.

Author: O.B. Bekken
Publisher: Springer
ISBN: 3540382011
Category : Mathematics
Languages : en
Pages : 216

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Author: Eric Schechter
Publisher: Academic Press
ISBN: 0080532993
Category : Mathematics
Languages : en
Pages : 907

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Book Description
Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

Author: P. Gänssler
Publisher: Springer
ISBN: 3540375155
Category : Mathematics
Languages : en
Pages : 156

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Author: A. Kerber
Publisher: Springer
ISBN: 3540380248
Category : Mathematics
Languages : en
Pages : 182

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Author: D. W. Kueker
Publisher: Springer
ISBN: 3540379495
Category : Mathematics
Languages : en
Pages : 214

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A Collection of Papers by Varoius Authors

Author: A. Cornea
Publisher: Springer
ISBN: 3540380191
Category : Mathematics
Languages : en
Pages : 161

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