Higher Engineering Mathematics by B.S. Grewal
The
book provides a clear exposition of essential tools of applied mathematics from
a modern point of view and meets complete requirements of engineering and
computer science students. Every effort 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 Useful
Information has been given in an Appendix.
However, the subject matter has been
set in eight main units:
Algebra & Geometry: Solution of equations, Linear
algebra: Determinants, Matrices, Vector 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 types, 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,
Discrete mathematics, Tensors.
An exhaustive list of 'Objective Type of Questions' has been
given at the end of each chapter. Standard Tables, Answers to Problems, and a
fairly comprehensive Index is given at the end.
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