Higher Engineering Mathematics is a comprehensive guide book for undergraduate students of engineering.
Chapter I : Algebra, Vectors and Geometry
Solution of Equations
Linear Algebra: Determinants, Matrices
Vector Algebra and Solid Geometry
Chapter II : Calculus
Differential Calculus & Its Applications
Partial Differentiation & Its Applications
Integral Calculus & Its Applications
Multiple Integrals & Beta, Gamma Functions
Vector Calculus & Its Applications
Chapter III : Series
Infinite Series
Fourier Series & Harmonic Analysis
Chapter 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
Chapter V : Complex Analysis
Complex Numbers and Functions
Calculus of Complex Functions
Chapter VI : Transforms
Laplace Transforms
Fourier Transforms
Z-Transforms
Chapter 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
Chapter VIII : Special Topics
Calculus of Variations
Integral Equations
Discrete Mathematics
Tensor Analysis
Useful Information
Tables
Answers to Problems
Index
