Higher Engineering Mathematics by Dr. B.S.Grewal - Khanna Publishers - Free Download PDF

HIGHER ENGINEERING MATHEMATICS

BY Dr. B.S.GREWAL

FREE DOWNLOAD PDF

ABOUT THE BOOK :

Higher Engineering Mathematics written by Dr.B.S.Grewal was published by Khanna Publishers. This book is very famous, as it covers most of the syllabus of Mathematics of Engineering First year students in India. The content is well explained and very easy to understand mainly for the beginners and for students who are weak at Mathematics. Also useful for Mathematics enthusiasts since there are wide number of areas which discusses deeply about the mathematical solutions. 

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.

This is a must have book for every Engineering First Year student. 

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CONTENTS

UNIT 1. ALGEBRA, VECTORS AND GEOMETRY

1. SOLUTION OF EQUATIONS
2. LINEAR ALGEBRA : DETERMINANTS, MATRICES
3. VECTOR ALGEBRA AND SOLID GEOMETRY

UNIT 2. CALCULUS

1. DIFFERENTIAL CALCULUS AND ITS APPLICATIONS
2. PARTIAL DIFFERENTIATION AND ITS APPLICATIONS
3. INTEGRAL CALCULUS AND ITS APPLICATIONS
4. MULTIPLE INTEGRALS AND BETA, GAMMA FUNCTIONS
5. VECTOR CALCULUS AND ITS APPLICATIONS

UNIT 3. SERIES

1. INFINITE SERIES
2. FOURIER SERIES AND HARMONIC ANALYSIS

UNIT 4. DIFFERENTIAL EQUATIONS

1. DIFFERENTIAL EQUATIONS OF FIRST ORDER
2. APPLICATIONS OF DIFFERENTIAL EQUATIONS OF FIRST ORDER
3. LINEAR DIFFERENTIAL EQUATIONS
4. APPLICATIONS OF LINEAR DIFFERENTIAL EQUATIONS
5. DIFFERENTIAL EQUATIONS OF OTHER TYPES
6. SERIES SOLUTION OF DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS
7. PARTIAL DIFFERENTIAL EQUATIONS
8. APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS

UNIT 5. COMPLEX ANALYSIS

1. COMPLEX NUMBERS AND FUNCTIONS
2. CALCULUS OF COMPLEX FUNCTIONS

UNIT 6. TRANSFORMS

1. LAPLACE TRANSFORMS
2. FOURIER TRANSFORMS
3. Z-TRANSFORMS

UNIT 7. NUMERICAL TECHNIQUES

1. EMPIRICAL LAWS AND CURVE FITTING
2. STATISTICAL METHODS
3. PROBABILITY AND DISTRIBUTIONS
4. SAMPLING AND INFERENCE
5. NUMERICAL SOLUTION OF EQUATIONS
6. FINITE DIFFERENCES AND INTERPOLATION
7. NUMERICAL DIFFERENTIATION AND INTEGRATION
8. DIFFERENCE EQUATIONS
9. NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS
10. NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
11. LINEAR PROGRAMMING

UNIT 8. SPECIAL TOPICS

1. CALCULUS OF VARIATIONS
2. INTEGRAL EQUATIONS
3. DISCRETE MATHEMATICS
4. TENSOR ANALYSIS

SCREENSHOTS

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