Advanced Engineering Mathematics

Advanced Engineering Mathematics

Erwin Kreyszig John Wiley & Sons 9th Edition ISBN: 0-471-48885-2 E-ISBN: 9780470230114
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This market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility.

Table of Contents

  • FRONT MATTER
  • CHAPTER 1 First-Order ODEs
  • CHAPTER 2 Second-Order Linear ODEs
  • CHAPTER 3 Higher Order Linear ODEs
  • CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods
  • CHAPTER 5 Series Solutions of ODEs. Special Functions
  • CHAPTER 6 Laplace Transforms
  • CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems
  • CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems
  • CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl
  • CHAPTER 10 Vector Integral Calculus. Integral Theorems
  • CHAPTER 11 Fourier Series, Integrals, and Transforms
  • CHAPTER 12 Partial Differential Equations (PDEs)
  • CHAPTER 13 Complex Numbers and Functions
  • CHAPTER 14 Complex Integration
  • CHAPTER 15 Power Series, Taylor Series
  • CHAPTER 16 Laurent Series. Residue Integration
  • CHAPTER 17 Conformal Mapping
  • CHAPTER 18 Complex Analysis and Potential Theory
  • CHAPTER 19 Numerics in General
  • CHAPTER 20 Numeric Linear Algebra
  • CHAPTER 21 Numerics for ODEs and PDEs
  • CHAPTER 22 Unconstrained Optimization. Linear Programming
  • CHAPTER 23 Graphs. Combinatorial Optimization
  • CHAPTER 24 Data Analysis. Probability Theory
  • CHAPTER 25 Mathematical Statistics
  • APPENDIX 1 References
  • APPENDIX 2 Answers to Odd-Numbered Problems
  • APPENDIX 3 Auxiliary Material
  • APPENDIX 4 Additional Proofs
  • APPENDIX 5 Tables
  • PHOTO CREDITS
  • INDEX

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