Advaced Engineering Mathematics – Erwin Kreyszig – 9th Edition


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.

Thoroughly updated and streamlined to reflect new developments in the field, the ninth edition of this bestselling text features modern engineering applications and the uses of technology. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems.

The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics.

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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 TransformsPART 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
    • Full Title: Advaced Engineering Mathematics
    • Author/s:
    • ISBN-10: 0470542845
    • ISBN-13: 9780470542842
    • Edition: 9th Edition
    • Topic: Math
    • Subtopic: Advanced Mathematics
    • Volumen: Volumen 1 | Volumen 2
    • File Type: Solution Manual
    • Idioma: English

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