The book provides a clear exposition of essential tools of applied mathematics from a modem point of view and meets complete requirements of engineering and computer science students. Every efforts has been made to keep the presentation at once simple and lucid. It is written with the firm conviction that a good book is one that can be read with minimum guidance from the instructor. To achieve this, more than the usual number of solved examples, followed by properly graded problems have been given. Many of the examples and problems have been selected from recent papers of various university and other engineering examinations. Basic Concepts and General Information has been given in the beginning. However, the subject matter has been set in eight main sections:

Algebra & Geometry: Solution of equations, Linear algebra: Deter- minants, Matrices, Vectors algebra and Solid geometry.

Calculus: Differential calculus, Partial differentiation, Integral calculus, Multiple integrals, Vector calculus.

Series: Infinite series and Fourier series.

Differential Equations: Differential equations of first order and their

applications, Linear differential equations and their applications, Differential equations of different type, Series solution of differential equations and Special functions, Partial differential equations and their applications.

Complex Analysis: Complex numbers and functions, Calculus of complex functions.

Transforms: Laplace transforms, Fourier transforms and Z-transforms.

Numerical Techniques: Empirical Laws and Curve fitting, Statistical

methods, Probability and Distributions, Sampling and Inference, Numerical methods, Finite differences and Interpolation, Difference equations, Numerical solution of Ordinary and Partial differential equations, Linear

programming.

Special Topics: Calculus of variations, Integral equations, Tensors, Discrete mathematics.

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