Advanced engineering mathematics / Erwin Kreyszig

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

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