A COURSE IN CALCULUS AND REAL ANALYSIS GHORPADE PDF

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We use cookies to give you the best possible experience. By using our website you agree to our use of cookies. Dispatched from the UK in 2 business days When will my order arrive? Sheldon Axler. Stephen Abbott. Serge Lang. Tom M. John Stillwell. Charles Chapman Pugh. Robin Hartshorne. Peter J. Kristopher Tapp. Johannes Buchmann. Joseph Bak. Kenneth Allen Ross. Yiannis N. Mark A. John M. Joseph H. Home Contact us Help Free delivery worldwide. Free delivery worldwide. Bestselling Series.

Harry Potter. Popular Features. Home Learning. Description 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. Product details Format Hardback pages Dimensions x x Other books in this series. Add to basket. Understanding Analysis Stephen Abbott.

Linear Algebra Serge Lang. Mathematics and Its History John Stillwell. Naive Lie Theory John Stillwell. Geometry: Euclid and Beyond Robin Hartshorne. Introduction to Cryptography Johannes Buchmann. Complex Analysis Joseph Bak. Elementary Analysis Kenneth Allen Ross. Notes on Set Theory Yiannis N.

Groups and Symmetry Mark A. Numbers and Geometry John Stillwell. Basic Topology Mark A. Combinatorics and Graph Theory John M. 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 exercises, as well as a "Notes and Comments" section, which highlights distinctive features of the exposition and provides additional references to relevant literature.

This second edition contains substantial revisions and additions, including several simplified proofs, new sections, and new and revised figures and exercises. This textbook can be used for a rigorous undergraduate course in calculus, or as a supplement to a later course in real analysis. The authors' A Course in Multivariable Calculus is an ideal companion volume, offering a natural extension of the approach developed here to the multivariable setting.

From reviews: [The first edition is] a rigorous, well-presented and original introduction to the core of undergraduate mathematics -- first-year calculus. It develops this subject carefully from a foundation of high-school algebra, with interesting improvements and insights rarely found in other books. Wildberger, Aust. Table of contents Numbers and Functions. Review Text "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. Review quote "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.

About Sudhir R. Ghorpade Sudhir R. Bhattacharya Award for Excellence in Pure Sciences. His research interests lie in algebraic geometry, combinatorics, coding theory, and commutative algebra. Balmohan V. He is the author of several research monographs and textbooks, including Linear Functional Analysis for Scientists and Engineers Springer, His research interests include Banach algebras, approximation theory, numerical functional analysis, and linear algebra.

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A Course in Calculus and Real Analysis

A Course in Calculus and Real Analysis. Sudhir R. Ghorpade , Balmohan V. Calculus is one of the triumphs of the human mind. It emerged from inv- tigations into such basic questions as? In the third century B.

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A Course in Calculus and Real Analysis, 2nd ed.

It seems that you're in Germany. We have a dedicated site for Germany. Authors: Ghorpade , Sudhir R. 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. This textbook can be used for a rigorous undergraduate course in calculus, or as a supplement to a later course in real analysis. From reviews: [The first edition is] a rigorous, well-presented and original introduction to the core of undergraduate mathematics — first-year calculus. It develops this subject carefully from a foundation of high-school algebra, with interesting improvements and insights rarely found in other books.

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