Advanced Engineering Mathematics: Volume I, Second Edition

The complete text has been divided into two volumes: Volume I (Ch. 1-13) & Volume II (Ch. 14-25). 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. The Volume II, which is in sequel to Volume I, covers topics on complex analysis, Fourier analysis, partial differential equations, statistics, numerical methods and linear programming.

The self-contained text 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. The book can be used as a text for Engineering Mathematics Course at various levels.

New in this Edition:

• Numerical Methods in General
• Numerical Methods for Differential Equations
• Linear Programming

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 / References / Index