Advanced Calculus

by Devi Prasad

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.Key FeaturesProvides more than 250 problems with answers at the end of each chapter.Gives adequate number of illustrations each conveying some specific concept of the subject.Includes a large number of fully worked-out examples in every chapter for the proper understanding of the concepts. About the AuthorDEVI 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. Table of Contents PrefaceChapter 1 REVIEW OF CALCULUSChapter 2 SEQUENCES AND SERIESChapter 3 POLAR CURVESChapter 4 CURVES IN SPACEChapter 5 FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DERIVATIVESChapter 6 DOUBLE INTEGRALSChapter 7 TRIPLE INTEGRALSChapter 8 LINE INTEGRALSChapter 9 SURFACE INTEGRALS, STOKES? AND DIVERGENCE THEOREMSSubject Index

304 pages, Paperback

Published January 1, 2009

Reviews

[Aryan Prasad · Rating 4 out of 5]

Small book with little theory but lot of solved examples and unsolved exercises, good for quick revision.