Advaced Engineering Mathematics – Erwin Kreyszig – 10th Edition

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Advanced Engineering Mathematics, 10th Edition is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained subject matter parts for maximum flexibility. The new edition continues with the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.

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  • PART A Ordinary Differential Equations (ODEs)

    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

    PART B Linear Algebra. Vector Calculus

    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

    PART C Fourier Analysis. Partial Differential Equations (PDEs)

    CHAPTER 11: Fourier Analysis
    CHAPTER 12: Partial Differential Equations (PDEs)

    PART D Complex Analysis

    CHAPTER 13: Complex Numbers and Functions. Complex Differentiation
    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

    PART E Numeric Analysis

    CHAPTER 19: Numerics in General
    CHAPTER 20: Numeric Linear Algebra
    CHAPTER 21: Numerics for ODEs and PDEs

    PART F Optimization, Graphs

    CHAPTER 22: Unconstrained Optimization. Linear Programming
    CHAPTER 23: Graphs. Combinatorial Optimization

    PART G Probability, Statistics

    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
  • Citation

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