Author(s): Erwin Kreyszig
Edition: 9th Edition, International Edition
Publisher: John Wiley & Sons
Year: 2005
Language: English
Pages: 1246
CHAPTER 1 First-Order ODEs 2......Page 21
CHAPTER 2 Second-Order Linear ODEs 45......Page 64
CHAPTER 3 Higher Order Linear ODEs 105......Page 124
CHAPTER 4 Systems of ODEs. PhasePlane. Qualitative Methods 124......Page 143
CHAPTER 5 Series Solutions of ODEs. Special Functions 166......Page 185
CHAPTER 6 Laplace Transforms 220......Page 239
CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 272......Page 291
CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems 333......Page 352
CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl 364......Page 383
CHAPTER 10 Vector Integral Calculus. Integral Theorems 420......Page 439
CHAPTER 11 Fourier Series, Integrals, and Transforms 478......Page 497
CHAPTER 12 Partial Differential Equations (PDEs) 535......Page 554
CHAPTER 13 Complex Numbers and Functions 602......Page 621
CHAPTER 14 Complex Integration 637......Page 656
CHAPTER 15 Power Series,Taylor Series 664......Page 683
CHAPTER 16 Laurent Series.Residue Integration 701......Page 720
CHAPTER 17 Conformal Mapping 728......Page 747
CHAPTER 18 Complex Analysis and Potential Theory 749......Page 768
CHAPTER 19 Numerics in General 780......Page 799
CHAPTER 20 Numeric Linear Algebra 833......Page 852
CHAPTER 21 Numerics for ODEs and PDEs 886......Page 905
CHAPTER 22 Unconstrained Optimization. Linear Programming 936......Page 955
CHAPTER 23 Graphs. Combinatorial Optimization 954......Page 973
CHAPTER 24 Data Analysis. Probability Theory 993......Page 1012
CHAPTER 25 Mathematical Statistics 1044......Page 1063
APPENDIX 1 References A1......Page 1114
APPENDIX 2 Answers to Odd-Numbered Problems A4......Page 1117
APPENDIX 3 Auxiliary Material A60......Page 1173
APPENDIX 4 Additional Proofs A74......Page 1187
APPENDIX 5 Tables A94......Page 1207
PHOTO CREDITS Pl......Page 1220
INDEX 11......Page 1222
