Advanced engineering mathematics / Erwin Kreyszig

Includes bibliographical references and index.

Ch. 1 First-order ODEs 2 Ch. 2 Second-order linear ODEs 45 Ch. 3 Higher order linear ODEs 105 Ch. 4 Systems of ODEs : phase plane : qualitative methods 124 Ch. 5 Series solutions of ODEs : special functions 166 Ch. 6 Laplace transforms 220 Ch. 7 Linear algebra : matrices, vectors, determinants : linear systems 272 Ch. 8 Linear algebra : matrix eigenvalue problems 333 Ch. 9 Vector differential calculus : grad, div, curl 364 Ch. 10 Vector integral calculus : integral theorems 420 Ch. 11 Fourier series, integrals, and transforms 478 Ch. 12 Partial differential equations (PDEs) 535 Ch. 13 Complex numbers and functions 602 Ch. 14 Complex integration 637 Ch. 15 Power series, Taylor series 664 Ch. 16 Laurent series : residue integration 701 Ch. 17 Conformal mapping 728 Ch. 18 Complex analysis and potential theory 749 Ch. 19 Numerics in general 780 Ch. 20 Numeric linear algebra 833 Ch. 21 Numerics for ODEs and PDEs 886 Ch. 22 Unconstrained optimization : linear programming 936 Ch. 23 Graphs : combinatorial optimization 954 Ch. 24 Data analysis : probability theory 993 Ch. 25 Mathematical statistics 1044