Introduction to the theory of infinitesimals /
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Main Authors: | |
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Corporate Authors: | |
Group Author: | |
Published: |
Academic Press,
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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: | |
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. |