Title
Contents
PARTβI PRELIMINARIES
1 Preliminaries Vector Algebra, Theory of Equations, and Complex Numbers
PARTβII DIFFERENTIAL AND INTEGRAL CALCULUS
2 Differential Calculus
3 Partial Differentiation
4 Maxima and Minima
5 Curve Tracing
6 Integral Calculus
7 Multiple Integrals
PARTβIII ORDINARY DIFFERENTIAL EQUATIONS
8 Ordinary Differential Equations: First Order and First Degree
9 Linear Differential Equations of Second Order and Higher Order
10 Series Solutions
11 Special FunctionsβGamma, Beta, Bessel and Legendre
12 Laplace Transform
PARTβIV LINEAR ALGEBRA AND VECTOR CALCULUS
13 Matrices
14 Eigen Values and Eigen Vectors
15 Vector Differential Calculus: Gradient, Divergence and Curl
16 Vector Integral Calculus
PARTβV FOURIER ANALYSIS AND PARTIAL DIFFERENTIALEQUATIONS
17 Fourier Series
18 Partial Differential Equations
19 Applications of Partial Differential Equations
20 Fourier Integral, Fourier Transforms and Integral Transforms
21 Linear Difference Equations and Z-Transforms
PARTβVI COMPLEX ANALYSIS
22 Complex Function Theory
23 Complex Integration
24 Theory of Residues
25 Conformal Mapping
PARTβVII PROBABILITY AND STATISTICS
26 Probability
27 Probability Distributions
28 Sampling Distribution
29 Estimation and Test of Hypothesis
30 Curve Fitting, Regression and Correlation Analysis
31 Joint Probability Distribution and Markov Chains
PARTβVIII NUMERICAL ANALYSIS
32 Numerical Analysis
33 Numerical Solutions of ODE and PDE
34 Matrices and Determinants
35 Sequences and Series
36 Analytical Solid Geometry
37 Calculus of Variations
38 Linear Programming
Appendix A Statistical Tables
Appendix B Basic Results
Appendix C Bibliography
Index