Engineering Mathematics By Bv Ramana Pdf

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Higher Engineering Mathematics

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Title: Higher Engineering Mathematics
Author: Dr. B S Grewal
Publisher: Khanna Publishers

About Higher Engineering Mathematics By B.S. Grewal

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.

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Table Of Content

Unit 1: Algebra, Vectors, and Geometry
Solution of Equations
Linear Algebra: Determinants, Matrices
Vector Algebra and Solid Geometry
Unit 2: Calculus
Differential Calculus & Its Applications
Partial Differentiation & Its Applications
Integral Calculus & Its Applications
Multiple Integrals & Beta, Gamma Functions
Vector Calculus & Its Applications
Unit 3: Series
Infinite Series
Fourier Series & Harmonic Analysis
Unit 4: 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 of Differential Equations and Special Functions
Partial Differential Equations
Applications of Partial Differential Equations
Unit 5: Complex Analysis
Complex Numbers and Functions
Calculus of Complex Functions
Unit 6: Transforms
Laplace Transforms
Fourier Transforms
Z-Transforms
Unit 7: 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 8: Special Topics
Calculus of Variations
Integral Equations
Discrete Mathematics

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