Advanced Engineering Mathematics, 10th Edition Tech Update II Loose-Leaf Print Companion


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Table of Contents

P A R T A Ordinary Differential Equations (ODEs) 1 CHAPTER 1 First-Order ODEs 2 CHAPTER 2 Second-Order Linear ODEs 46 CHAPTER 3 Higher Order Linear ODEs 105 CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods 124 CHAPTER 5 Series Solutions of ODEs. Special Functions 167 CHAPTER 6 Laplace Transforms 203 P A R T B Linear Algebra. Vector Calculus 255 CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 256 CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems 322 CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl 354 CHAPTER 10 Vector Integral Calculus. Integral Theorems 413 P A R T C Fourier Analysis. Partial Differential Equations (PDEs) 473 CHAPTER 11 Fourier Analysis 474 CHAPTER 12 Partial Differential Equations (PDEs) 540 P A R T D Complex Analysis 607 CHAPTER 13 Complex Numbers and Functions. Complex Differentiation 608 CHAPTER 14 Complex Integration 643 CHAPTER 15 Power Series, Taylor Series 671 CHAPTER 16 Laurent Series. Residue Integration 708 CHAPTER 17 Conformal Mapping 736 P A R T E Numeric Analysis 787 Software 788 CHAPTER 19 Numerics in General 790 CHAPTER 20 Numeric Linear Algebra 844 CHAPTER 21 Numerics for ODEs and PDEs 900 P A R T F Optimization, Graphs 949 CHAPTER 22 Unconstrained Optimization. Linear Programming 950 CHAPTER 23 Graphs. Combinatorial Optimization 970 CHAPTER 24 Data Analysis. Probability Theory 1011 CHAPTER 25 Mathematical Statistics 1063 APPENDIX 1 References A1 APPENDIX 2 Answers to Odd-Numbered Problems A4 APPENDIX 3 Auxiliary Material A63 APPENDIX 4 Additional Proofs A77 APPENDIX 5 Tables A97 INDEX I1 PHOTO CREDITS P1

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