A Course in Calculus and Real Analysis

Balmohan V. Limaye

ISBN 10: 3030827410 ISBN 13: 9783030827410

Editore: Springer Nature Switzerland AG, 2021

Lingua: Inglese

Condizione: Nuovo Brossura

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Titolo

A Course in Calculus and Real Analysis

Editore

Springer Nature Switzerland AG

Data di pubblicazione

2021

Lingua

Inglese

ISBN 10

3030827410

ISBN 13

9783030827410

Rilegatura

PAP

Edizione

seconda edizione

Condizione

New

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Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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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