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This well-organized and readable text is intended for the first-year engineering students of all disciplines for a first-semester course in engineering mathematics. The book provides a thorough exposure to three broad areas of engineering mathematics-differential and integral calculus, analytical geometry and vector analysis. It is designed to help students acquire a solid foundation in the basic skills of these areas of mathematics and also to enable them to develop problem-solving skills. Written in an easy-to-understand style, the book is self-contained for independent study as well. About The Author MADHUMANGAL PAL (PhD) is Professor in the Department of Applied Mathematics, Vidyasagar University, Midnapore. He has over 18 years of teaching and research experience. He is the recipient of Computer Division Medal in 1996 from the Institution of Engineers (India) for the best research work published in the institution journal, jointly with Prof. G.P. Bhattacharjee. He is the author of several other mathematics books. ANITA PAL (PhD) is Assistant Professor in the Department of Mathematics, National Institute of Technology Durgapur, West Bengal. With over 8 years of experience in teaching and research, she is also a reviewer of several journals on mathematics and computing. Key Features Provides clear and focused coverage of topics. Theory and concepts are explained step-by-step to substantiate the results and to aid the learning process. Provides a large number of fully-worked examples and exercises in each chapter. Gives short answer and long answer questions at the end of each chapter. Table of Contents Preface Chapter 1 Infinite Series Chapter 2 Limit, Continuity And Differentiability Chapter 3 Successive Differentiation Chapter 4 Mean Value Theorem Chapter 5 Reduction Formula Chapter 6 Rectification Chapter 7 Functions Of Several Variables: Limit, Continuity And Partial Derivatives Chapter 8 Maxima And Minima Chapter 9 Jacobians Chapter 10 Multiple Integrals Chapter 11 Area, Volume And Surface Of Revolution Chapter 12 Moment Of Inertia And Centre Of Gravity Chapter 13 Vector Algebra Chapter 14 Gradient, Divergence And Curl Chapter 15 Vector Integration Chapter 16 Three-Dimensional Geometry Bibliography Appendix Index