eBook - PDF
Advanced Calculus, An Introduction To Mathematical Analysis
An Introduction to Mathematical Analysis
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- 180 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Advanced Calculus, An Introduction To Mathematical Analysis
An Introduction to Mathematical Analysis
Book details
Table of contents
Citations
About This Book
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.
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Yes, you can access Advanced Calculus, An Introduction To Mathematical Analysis by Samuel Zaidman in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
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Table of contents
- CONTENTS
- PREFACE
- Chapter I NUMBERS
- Chapter II SEQUENCES OF REAL NUMBERS
- Chapter III INFINITE NUMERICAL SERIES
- Chapter IV CONTINUOUS FUNCTIONS
- Chapter V DERIVATIVES
- Chapter VI CONVEX FUNCTIONS
- Chapter VII METRIC SPACES
- Chapter VIII INTEGRATION
- INDEX
- INDEX OF NOTATIONS
- APPENDIX
- BIBLIOGRAPHY