A Course in Calculus and Real Analysis

Author:   Sudhir R. Ghorpade ,  Balmohan V. Limaye
Publisher:   Springer Nature Switzerland AG
Edition:   2nd ed. 2018
ISBN:  

9783030013998


Pages:   538
Publication Date:   27 November 2018
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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A Course in Calculus and Real Analysis


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Author:   Sudhir R. Ghorpade ,  Balmohan V. Limaye
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   2nd ed. 2018
Weight:   1.228kg
ISBN:  

9783030013998


ISBN 10:   3030013995
Pages:   538
Publication Date:   27 November 2018
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

Reviews

This book would be a valuable asset to a university library and that many instructors would do well to have a copy of this book in their personal libraries. In addition, I believe that some students would benefit if they possessed a copy of this book to use for reference purposes. (Jonathan Lewin, MAA Reviews, April 15, 2019)


“This book would be a valuable asset to a university library and that many instructors would do well to have a copy of this book in their personal libraries. In addition, I believe that some students would benefit if they possessed a copy of this book to use for reference purposes.” (Jonathan Lewin, MAA Reviews, April 15, 2019)


Author Information

Sudhir R. Ghorpade is Institute Chair Professor in the Department of Mathematics at the Indian Institute of Technology (IIT) Bombay. He has received several awards, including the All India Council for Technical Education (AICTE) Career Award for Young Teachers and the Prof. S.C. Bhattacharya Award for Excellence in Pure Sciences. His research interests lie in algebraic geometry, combinatorics, coding theory, and commutative algebra. Balmohan V. Limaye is Professor Emeritus in the Department of Mathematics at the Indian Institute of Technology (IIT) Bombay. He is the author of several research monographs and textbooks, including Linear Functional Analysis for Scientists and Engineers (Springer, 2016). He worked at IIT Bombay for more than 40 years and has twice received the Award for Excellence in Teaching from IIT Bombay. His research interests include Banach algebras, approximation theory, numerical functional analysis, and linear algebra. The authors’ companion volume A Course in Multivariable Calculus and Analysis (2010) is also in the UTM series.

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