The text has been divided in two volumes: Volume I (Ch. 1-13) & Volume II (Ch. 14-22). In addition to the review material and some basic topics as discussed in the opening chapter, the main text in Volume I covers topics on infinite series, differential and integral calculus, matrices, vector calculus, ordinary differential equations, special functions and Laplace transforms. Volume II covers topics on complex analysis, Fourier analysis, partial differential equations and statistics.
The present book has numerous distinguishing features over the already existing books on the same topic. The chapters have been planned to create interest among the readers to study and apply the mathematical tools. The subject has been presented in a very lucid and precise manner with a wide variety of examples and exercises, which would eventually help the reader for hassle free study.
Contents:
Volume I
Preliminaries / Infinite Series / Differentiation and its Applications / Partial Differentiation and its Applications / Definite Integrals and their Applications / Multiple Integrals and Their Applications / Matrices, Determinants and Eigenvalue Problems / Vector Differential Calculus / Vector Integral Calculus / First Order Ordinary Differential Equations / Second and Higher Order Linear Differential Equations / Series Solutions of Differential Equations and Special Functions / Laplace Transforms / Appendix / Index
Volume II
Functions of a Complex Variable : Analytic Functions / Complex Integration / Taylor Series, Laurent Series and The Residue Theorem / Fourier Series / Fourier Integrals and Fourier Transforms / Partial Differential Equations / Applications of Partial Differential Equations / Descriptive Statistics, Probability and Distributions / Sampling Distributions and Hypothesis Testing / Appendix / Index
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H.C. Taneja is Professor and Head, Department of Applied Mathematics, Delhi Technological University, New Delhi. He has vast experience of teaching both mathematics and statistics at UG and PG level to science & engineering students. He has published a number of research papers in journals of international repute, and also has authored a textbook Statistical Methods for Engineering Students. His research interests include Information Theory, Univalent Functions and Applications of Stochastic Processes.
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