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 (Undergraduate Texts in Mathematics)

Science & Math

Ghorpade, Sudhir R.

Limaye, Balmohan. V.

Mathematics

Springer

A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics)

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.

A Course in Multivariable Calculus and Analysis

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.

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. 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.

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.

See the best price to sell, buy, or rent books by Ghorpade, Sudhir R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Ghorpade, Sudhir R.

See the best price to sell, buy, or rent books by Ghorpade, Sudhir R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

A Course in Calculus and Real Analysis (Undergraduate Texts in Mathematics)

A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics)

A Course in Multivariable Calculus and Analysis

A Course in Multivariable Calculus and Analysis

A Course in Calculus and Real Analysis (Undergraduate Texts in Mathematics)

A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics)

A Course in Calculus and Real Analysis (Undergraduate Texts in Mathematics)

A Course in Calculus and Real Analysis (Undergraduate Texts in Mathematics)