Advanced Engineering Mathematics Vol.1 – Erwin Kreyszig – 3rd Edition

Description

This great work is presented in two volumes to students in engineering, physics, mathematics and computer science; offers the areas of mathematics that, from a modern perspective, have greater importance in the of practical problems.
They will also help students acquire a solid understanding of basic principles, methods and outcomes, as well as familiarize themselves with thinking, understand the need to apply mathematical methods to engineering problems, and arrive at a firm understanding of the interrelation between theory, calculations and experience. All of the above is presented with a clear focus, but without eluding its since the author believes that oversimplifying would not be of great help to students.

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  • P A R T A Ordinary Differential Equations (ODEs)
    1CHAPTER 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
  • Citation
    • Full Title: Advanced Engineering Mathematics Vol.1
    • Author/s:
    • ISBN-10: 9681853105
    • ISBN-13: 9789681853105
    • Edition: 3rd Edition
    • Topic: Math
    • Subtopic: Advanced Mathematics
    • Volumen: Volumen 1
    • File Type: Solution Manual
    • Idioma: English

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