TY - BOOK AU - Kreyszig,Erwin TI - Advanced engineering mathematics SN - 0471553808 AV - QA401 .K7 1993 PY - 1993///] CY - New York PB - Wiley KW - Mathematical physics KW - Engineering mathematics N1 - Includes bibliographical references and index; -- Contents; Pt. A Ordinary Differential Equations; Ch. 1 First-Order Differential Equations; Ch. 2 Second-Order Linear Differential Equations; Ch. 3 Higher Order Linear Differential Equations; Ch. 4 Systems of Differential Equations. Phase Plane, Stability; Ch. 5 Series Solutions of Differential Equations. Special Functions; Ch. 6 Laplace Transforms; Pt. B Linear Algebra, Vector Calculus; Ch. 7 Linear Algebra: Matrices, Vectors, Determinants; Ch. 8 Vector Differential Calculus. Grad, Div, Curl; Ch. 9 Vector Integral Calculus. Integral Theorems; Pt. C Fourier Analysis and Partial Differential Equations; Ch. 10 Fourier Series, Integrals, and Transforms; Ch. 11 Partial Differential Equations; Pt. D Complex Analysis; Ch. 12 Complex Numbers. Complex Analytic Functions; Ch. 13 Complex Integration; Ch. 14 Power Series, Taylor Series, Laurent Series; Ch. 15 Residue Integration Method; Ch. 16 Conformal Mapping; Ch. 17 Complex Analysis Applied to Potential Theory; Pt. E Numerical Methods; Ch. 18 Numerical Methods in General; Ch. 19 Numerical Methods in Linear Algebra; Ch. 20 Numerical Methods for Differential Equations; Pt. F Optimization, Graphs; Ch. 21 Unconstrained Optimization, Linear Programming; Ch. 22 Graphs and Combinatorial Optimization; Pt. G Probability and Statistics; Ch. 23 Probability Theory; Ch. 24 Mathematical Statistics; Appendix 1: References; Appendix 2: Answers to Odd-Numbered Problems; Appendix 3: Auxiliary Material; Appendix 4: Additional Proofs; Appendix 5: Tables; Index N2 - Featuring modern coverage of numerical methods, graphs, optimization and probability, this revised textbook aims to provide engineering students with a clear perception of applied mathematics. Problem sets have been rewritten for this edition, and there is new information on linear algebra ER -