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Produktbild: Edwards, C: Differential Equations and Boundary Value Proble

Edwards, C: Differential Equations and Boundary Value Proble Computing and Modeling (Tech Update)

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

22.01.2018

Verlag

Pearson Studium

Seitenzahl

800

Maße (L/B/H)

25.4/20.1/3 cm

Gewicht

1619 g

Auflage

5. Auflage

Sprache

Englisch

ISBN

978-0-13-483739-0

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

22.01.2018

Verlag

Pearson Studium

Seitenzahl

800

Maße (L/B/H)

25.4/20.1/3 cm

Gewicht

1619 g

Auflage

5. Auflage

Sprache

Englisch

ISBN

978-0-13-483739-0

Herstelleradresse

Pearson Education
St.-Martin-Str. 82, 81541 - DE, München
info@pearson.de

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  • Produktbild: Edwards, C: Differential Equations and Boundary Value Proble
  • Table of Contents

    1. First-Order Differential Equations
      • 1.1 Differential Equations and Mathematical Models
      • 1.2 Integrals as General and Particular Solutions
      • 1.3 Slope Fields and Solution Curves
      • 1.4 Separable Equations and Applications
      • 1.5 Linear First-Order Equations
      • 1.6 Substitution Methods and Exact Equations
    2. Mathematical Models and Numerical Methods
      • 2.1 Population Models
      • 2.2 Equilibrium Solutions and Stability
      • 2.3 Acceleration—Velocity Models
      • 2.4 Numerical Approximation: Euler’s Method
      • 2.5 A Closer Look at the Euler Method
      • 2.6 The Runge—Kutta Method
    3. Linear Equations of Higher Order
      • 3.1 Introduction: Second-Order Linear Equations
      • 3.2 General Solutions of Linear Equations
      • 3.3 Homogeneous Equations with Constant Coefficients
      • 3.4 Mechanical Vibrations
      • 3.5 Nonhomogeneous Equations and Undetermined Coefficients
      • 3.6 Forced Oscillations and Resonance
      • 3.7 Electrical Circuits
      • 3.8 Endpoint Problems and Eigenvalues
    4. Introduction to Systems of Differential Equations
      • 4.1 First-Order Systems and Applications
      • 4.2 The Method of Elimination
      • 4.3 Numerical Methods for Systems
    5. Linear Systems of Differential Equations
      • 5.1 Matrices and Linear Systems
      • 5.2 The Eigenvalue Method for Homogeneous Systems
      • 5.3 A Gallery of Solution Curves of Linear Systems
      • 5.4 Second-Order Systems and Mechanical Applications
      • 5.5 Multiple Eigenvalue Solutions
      • 5.6 Matrix Exponentials and Linear Systems
      • 5.7 Nonhomogeneous Linear Systems
    6. Nonlinear Systems and Phenomena
      • 6.1 Stability and the Phase Plane
      • 6.2 Linear and Almost Linear Systems
      • 6.3 Ecological Models: Predators and Competitors
      • 6.4 Nonlinear Mechanical Systems
      • 6.5 Chaos in Dynamical Systems
    7. Laplace Transform Methods
      • 7.1 Laplace Transforms and Inverse Transforms
      • 7.2 Transformation of Initial Value Problems
      • 7.3 Translation and Partial Fractions
      • 7.4 Derivatives, Integrals, and Products of Transforms
      • 7.5 Periodic and Piecewise Continuous Input Functions
      • 7.6 Impulses and Delta Functions
    8. Power Series Methods
      • 8.1 Introduction and Review of Power Series
      • 8.2 Series Solutions Near Ordinary Points
      • 8.3 Regular Singular Points
      • 8.4 Method of Frobenius: The Exceptional Cases
      • 8.5 Bessel’s Equation
      • 8.6 Applications of Bessel Functions
    9. Fourier Series Methods and Partial Differential Equations
      • 9.1 Periodic Functions and Trigonometric Series
      • 9.2 General Fourier Series and Convergence
      • 9.3 Fourier Sine and Cosine Series
      • 9.4 Applications of Fourier Series
      • 9.5 Heat Conduction and Separation of Variables
      • 9.6 Vibrating Strings and the One-Dimensional Wave Equation
      • 9.7 Steady-State Temperature and Laplace’s Equation
    10. Eigenvalue Methods and Boundary Value Problems
      • 10.1 Sturm—Liouville Problems and Eigenfunction Expansions
      • 10.2 Applications of Eigenfunction Series
      • 10.3 Steady Periodic Solutions and Natural Frequencies
      • 10.4 Cylindrical Coordinate Problems
      • 10.5 Higher-Dimensional Phenomena