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Advanced calculus : an introduction to mathematical analysis / S. Zaidman

Author
Zaidman, Samuel, 1933-
Published
River Edge, NJ : World Scientific, [1997]
Copyright Date
©1997
Physical Description
1 online resource (vii, 171 pages) : illustrations
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Contents
ch. 1. Numbers -- ch. 2. Sequences of real numbers -- ch. 3. Infinite numerical series -- ch. 4. Continuous functions -- ch. 5. Derivatives -- ch. 6. Convex functions -- ch. 7. Metric spaces -- ch. 8. Integration.
Summary
This book is an introduction to mathematical analysis (i.e real analysis) at a fairly elementary level. A great (unusual) emphasis is given to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the usual presentation of: sequences of real numbers, infinite numerical series, continuous functions, derivatives and Riemann-Darboux integration. There are also two "special" sections: on convex functions and on metric spaces, as well as an elementary appendix on Logic, Set Theory and Functions. We insist on a rigorous presentation throughout in the framework of the classical, standard, analysis
Subject(s)
ISBN
9789812830104 (electronic bk.)
9812830103 (electronic bk.)
9810227043
9789810227043
Bibliography Note
Includes bibliographical references (page 171) and indexes.
View MARC record | catkey: 43265760