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Introduction to the theory of infinitesimals /

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Bibliographic Details
Main Authors: Stroyan, K. D
Corporate Authors: Elsevier Science & Technology
Group Author: Luxemburg, W. A. J., 1929
Published: Academic Press,
Publisher Address: New York :
Publication Dates: 1976.
Literature type: eBook
Language: English
Series: Pure and applied mathematics, a series of monographs and textbooks ; 72
Subjects:
Nonstandard mathematical analysis
Analyse mathe matique non standard
MATHEMATICS > Pre-Calculus
MATHEMATICS > Differential Equations > General
MATHEMATICS > Reference
MATHEMATICS > Essays
Infinitesimaalrekening
Niet-standaardanalyse
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/00798169/72
Carrier Form: 1 online resource (xiii, 326 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 316-321) and index.
ISBN: 9780126741506
0126741506
9780080873886
008087388X
Index Number: QA3
CLC: O17
Contents: Part 1 : Classic infinitesimals. Introduction : What are infinitesimals? ; A first look at ultrapowers : a model of rational analysis ; Superstructures and their nonstandard models ; Some basic facts about hyperreal numbers ; Foundations of infinitesimal calculus ; Topics in infinitesimal calculus -- Part 2 : Infinitesimals in functional analysis. More tools from model theory ; The general theory of monads and infinitesimals ; Compactifications ; Linear infinitesimals and the locally convex hull.

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