A Course in Calculus and Real Analysis, 9783030827410
Paperback
Calculus and real analysis: rigorous proofs, insightful explanations, solid foundation.

A Course in Calculus and Real Analysis

$185.53

  • Paperback

    538 pages

  • Release Date

    28 November 2021

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Summary

Calculus and Real Analysis: A Rigorous Journey

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 exercis…

Book Details

ISBN-13:9783030827410
ISBN-10:3030827410
Series:Undergraduate Texts in Mathematics
Author:Sudhir R. Ghorpade, Balmohan V. Limaye
Publisher:Springer Nature Switzerland AG
Imprint:Springer Nature Switzerland AG
Format:Paperback
Number of Pages:538
Edition:2nd
Release Date:28 November 2021
Weight:974g
Dimensions:235mm x 155mm
What They're Saying

Critics Review

“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 The Author

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.

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