# Higher Engineering Mathematics

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- Description

**HIGHER ENGINEERING MATHEMATICS**

**About The Book**

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:

**Table of Contents**

**Unit I: Algebra, Vectors and Geometry**

Solution of Equations

Linear Algebra: Determinants, Matrices

Vector Algebra and Solid Geometry

**Unit II: Calculus**

Differential Calculus & Its Applications

Partial Differentiation & Its Applications

Integral Calculus & Its Applications

Multiple Integrals & Beta, Gamma Functions

Vector Calculus & Its Applications

**Univ III: Series**

Infinite Series

Fourier Series & Harmonic Anslysis

**Unit IV: Differential Equations**

Differential Equations of First Order

Applications of Differential Equations of First Order

Linear Differential Equations

Applications of Linear Differential Equations

Differential Equations of Other Types

Series Solution of Differential Equations and Special Functions

Partial Differential Equations

Applications of Partial Differential Equations

**Unit V: Complex Analysis**

Complex Numbers and Functions

Calculus of Complex Functions

**Unit VI: Transforms**

Laplace Transforms

Fourier Transforms

Z-Transforms

**Unit VII: Numerical Techniques**

Empirical Laws and Curve-fitting

Statistical Methods

Probability and Distributions

Sampling and Inference

Numerical Solution of Equations

Finite Differences and Interpolation

Numerical Differentiation and Integration

Difference Equations

Numerical Solution of Ordinary Differential Equations

Numerical Solution of Partial Differential Equations

Linear Programming

**Unit VIII: Special Topics**

Calculus of Variations

Integral Equations

Discrete Mathematics

Tensor Analysis

Useful Information

Tables

Answers to Problems

Index