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Higher Engineering Mathematics is a comprehensive book for undergraduate students of engineering. The book comprises of chapters on algebra, geometry and vectors, calculus, series, differential equations, complex analysis, transforms, and numerical techniques. In addition, the book consists of several solved and unsolved questions for thorough revision and final practice. This book is essential for engineering students preparing for various competitive exams like Graduate Aptitude Test in Engineering. 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.

### Book 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
•     Index

B. S. Grewal is an Indian academic author and educationist. He had also authored Numerical Methods in Engineering and Science with Programs in C and C+ +.

### Book Details

• Publisher: Khanna Publishers
• Language: English
• ISBN-10: 8174091955
• ISBN-13: 978-8174091956

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