Includes a new chapter on Jacobians (Chapter 6).

Provides several new examples in the existing chapters.

Multiple-choice questions, with answers, at the end of the book, help students to prepare for competitive examinations.

Questions have been selected from previous years’ examination papers.

A large number of solved examples, section-end questions and theorems help to build an intuitive understanding of mathematics.

A major section of the text is devoted to topics on geometrical applications of calculus that includes treatment of topics such as tangents and normal to curves, curvature, asymptotes, maxima and minima of functions. Calculus is best understood via geometry. The text is designed with rich collection of solved examples and problems to motivate students. The third edition of Textbook of Differential Calculus is thoroughly revised as per the latest syllabi of various Indian universities for undergraduate courses in mathematics and engineering. This subject is therefore considered to occupy the central position in mathematics. TEXTBOOK OF DIFFERENTIAL CALCULUS Book Review:Ĭalculus is a powerful mathematical tool with applications in almost every branch of science and engineering. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. The reader should also have some experience with partial derivatives. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy.

The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.

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