Sudhir Ghorpade's Books

A Course in Multivariable Calculus and Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

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A Course in Multivariable Calculus and Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus. This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.

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Page Count

495

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441916210

ISBN 13

9781441916211

A Course in Calculus and Real Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

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A Course in Calculus and Real Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

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.

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Page Count

442

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387364250

ISBN 13

9780387364254

Commutative Algebra and Algebraic Geometry

Joint International Meeting of the American Mathematical Society and the Indian Mathematical Society on Commutative Algebra and Algebraic Geometry, Bangalore, India, December 17-20, 2003

By: Sudhir Ghorpade

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Commutative Algebra and Algebraic Geometry

Joint International Meeting of the American Mathematical Society and the Indian Mathematical Society on Commutative Algebra and Algebraic Geometry, Bangalore, India, December 17-20, 2003

By: Sudhir Ghorpade

The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

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