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Produktbild: Elementary Differential Equations with Boundary Value Problems (Classic Version)

Elementary Differential Equations with Boundary Value Problems (Classic Version)

129,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

28.09.2024

Verlag

Pearson Education Limited

Seitenzahl

784

Maße (L/B/H)

25,4/20,3/4,2 cm

Gewicht

1157 g

Auflage

6

Sprache

Englisch

ISBN

978-0-13-499541-0

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

28.09.2024

Verlag

Pearson Education Limited

Seitenzahl

784

Maße (L/B/H)

25,4/20,3/4,2 cm

Gewicht

1157 g

Auflage

6

Sprache

Englisch

ISBN

978-0-13-499541-0

Herstelleradresse

Pearson
St.-Martin-Straße 82
81541 München
DE

Email: salesde@pearson.com

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  • Produktbild: Elementary Differential Equations with Boundary Value Problems (Classic Version)

  • Table of Contents


    • Preface







    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


      • 1.7 Population Models


      • 1.8 Acceleration-Velocity Models






    2. Linear Equations of Higher Order



      • 2.1 Introduction: Second-Order Linear Equations


      • 2.2 General Solutions of Linear Equations


      • 2.3 Homogeneous Equations with Constant Coefficients


      • 2.4 Mechanical Vibrations


      • 2.5 Nonhomogeneous Equations and Undetermined Coefficients


      • 2.6 Forced Oscillations and Resonance


      • 2.7 Electrical Circuits


      • 2.8 Endpoint Problems and Eigenvalues






    3. Power Series Methods



      • 3.1 Introduction and Review of Power Series


      • 3.2 Series Solutions Near Ordinary Points


      • 3.3 Regular Singular Points


      • 3.4 Method of Frobenius: The Exceptional Cases


      • 3.5 Bessel's Equation


      • 3.6 Applications of Bessel Functions






    4. Laplace Transform Methods



      • 4.1 Laplace Transforms and Inverse Transforms


      • 4.2 Transformation of Initial Value Problems


      • 4.3 Translation and Partial Fractions


      • 4.4 Derivatives, Integrals, and Products of Transforms


      • 4.5 Periodic and Piecewise Continuous Input Functions


      • 4.6 Impulses and Delta Functions






    5. Linear Systems of Differential Equations



      • 5.1 First-Order Systems and Applications


      • 5.2 The Method of Elimination


      • 5.3 Matrices and Linear Systems


      • 5.4 The Eigenvalue Method for Homogeneous Systems


      • 5.5 Second-Order Systems and Mechanical Applications


      • 5.6 Multiple Eigenvalue Solutions


      • 5.7 Matrix Exponentials and Linear Systems


      • 5.8 Nonhomogeneous Linear Systems






    6. Numerical Methods



      • 6.1 Numerical Approximation: Euler's Method


      • 6.2 A Closer Look at the Euler Method


      • 6.3 The Runge-Kutta Method


      • 6.4 Numerical Methods for Systems






    7. Nonlinear Systems and Phenomena



      • 7.1 Equilibrium Solutions and Stability


      • 7.2 Stability and the Phase Plane


      • 7.3 Linear and Almost Linear Systems


      • 7.4 Ecological Models: Predators and Competitors


      • 7.5 Nonlinear Mechanical Systems


      • 7.6 Chaos in Dynamical Systems






    8. Fourier Series Methods



      • 8.1 Periodic Functions and Trigonometric Series


      • 8.2 General Fourier Series and Convergence


      • 8.3 Fourier Sine and Cosine Series


      • 8.4 Applications of Fourier Series


      • 8.5 Heat Conduction and Separation of Variables


      • 8.6 Vibrating Strings and the One-Dimensional Wave Equation


      • 8.7 Steady-State Temperature and Laplace's Equation






    9. Eigenvalues and Boundary Value Problems



      • 9.1 Sturm-Liouville Problems and Eigenfunction Expansions


      • 9.2 Applications of Eigenfunction Series


      • 9.3 Steady Periodic Solutions and Natural Frequencies


      • 9.4 Cylindrical Coordinate Problems


      • 9.5 Higher-Dimensional Phenomena






    References for Further Study Appendix: Existence and Uniqueness of Solutions Answers to Selected Problems Index