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Product details:
- ISBN 10: 3030014002
- ISBN 13: 9783030014001
- Author: Ghorpade S.R.
Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing firm foundations for topics often encountered earlier without proof. Each chapter contains numerous examples and a large selection of exercises, as well as a “Notes and Comments” section, which highlights distinctive features of the exposition and provides additional references to relevant literature.This second edition contains substantial revisions and additions, including several simplified proofs, new sections, and new and revised figures and exercises.
Table of contents:
1 Numbers and Functions
3 Continuity and Limits
4 Differentiation
5 Applications of Differentiation
6 Integration
7 Elementary Transcendental Functions
8 Applications and Approximations of Riemann Integrals
9 Infinite Series and Improper Integrals
10 Sequences and Series of Functions, Integrals Depending on a Parameter
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