MPG.eBooks - Table of Contents: A Course in Calculus and Real Analysis

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A Course in Calculus and Real Analysis

[…] This book is a tour de force, and a necessary addition to thelibrary of anyone involved in teaching calculus, or studying it seriously. N.J. Wildberger, Aust. Math. Soc. Gaz

Bibliographic Details
Main Authors:	Ghorpade, Sudhir R., Limaye, Balmohan V. (Author)
Format:	eBook
Language:	English
Published:	Cham Springer International Publishing 2018, 2018
Edition:	2nd ed. 2018
Series:	Undergraduate Texts in Mathematics
Subjects:	Functions Of Real Variables Mathematical Analysis Sequences, Series, Summability Integral Transforms And Operational Calculus Real Functions Sequences (mathematics)
Online Access:	https://doi.org/10.1007/978-3-030-01400-1?nosfx=y
Collection:	Springer eBooks 2005- - Collection details see MPG.ReNa

Table of Contents:

1. Numbers and Functions
2. Sequences
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
A. Construction of the Real Numbers
B. Fundamental Theorem of Algebra
References
List of Symbols and Abbreviations
Index