Advanced Calculus

DEVI PRASAD

Jan. 2009 · PHI Learning Pvt. Ltd.

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 This concise and systematically organized textbook is meant for the undergraduate students of engineering for their courses in Engineering Mathematics. Besides, it is also useful for undergraduate and postgraduate students of mathematics.

This book is divided into nine chapters; the initial chapters provide revision of fundamental concepts of functions, limits and continuity to help students grasp the idea of the derivations treated in the subsequent chapters. Rules for finding derivatives, Taylor’s and Maclaurin’s theorems and different types of indeterminate forms are thoroughly explained. Further the book covers the convergence and divergence of the series, tangents and normals, curvatures to the curves, maxima and minima of functions of more than one variables and directional derivatives. The text also deals with volume integrals, and concludes with a detailed discussion on the line integrals and surface integrals using divergence and Stokes’ theorems.

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 DEVI PRASAD, Ph.D. (BITS, Pilani), is Professor, Department of Mathematics, IMS Engineering College, U.P. Technical University. He has been a Professor at Birla Institute of Technology and Science (BITS), Pilani. With more than four decades of teaching experience, Professor Prasad has published two other books in mathematics.