Higher Engineering Mathematics

Title Contents PART—I PRELIMINARIES 1 Preliminaries Vector Algebra, Theory of Equations, and Complex Numbers PART—II DIFFERENTIAL AND INTEGRAL CALCULUS 2 Differential Calculus 3 Partial Differentiation 4 Maxima and Minima 5 Curve Tracing 6 Integral Calculus 7 Multiple Integrals PART—III 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 Functions—Gamma, Beta, Bessel and Legendre 12 Laplace Transform PART—IV 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 PART—V 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 PART—VI COMPLEX ANALYSIS 22 Complex Function Theory 23 Complex Integration 24 Theory of Residues 25 Conformal Mapping PART—VII 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 PART—VIII 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