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A Course in Calculus and Real Analysis Sudhir R. Ghorpade

A Course in Calculus and Real Analysis By Sudhir R. Ghorpade

A Course in Calculus and Real Analysis by Sudhir R. Ghorpade


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Summary

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus.

A Course in Calculus and Real Analysis Summary

A Course in Calculus and Real Analysis by Sudhir R. Ghorpade

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

A Course in Calculus and Real Analysis 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)

About Sudhir R. Ghorpade

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.

Table of Contents

Numbers and Functions.- Sequences.- Continuity and Limits.- Differentiation.- Applications of Differentiation.- Integration.- Elementary Transcendental Functions.- Applications and Approximations of Riemann Integrals.- Infinite Series and Improper Integrals.

Additional information

NGR9783030827410
9783030827410
3030827410
A Course in Calculus and Real Analysis by Sudhir R. Ghorpade
New
Paperback
Springer Nature Switzerland AG
2021-11-28
538
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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