Differential Equations and Boundary Value Problems Computing and Modeling Value Package 4th Edition by Henry Edwards, David Penney 9780135143773 0135143772

Differential Equations and Boundary Value Problems Computing and Modeling Value Package 4th Edition by Henry Edwards, David Penney – Ebook PDF Instant Download/Delivery: 9780135143773, 0135143772

Full download Differential Equations and Boundary Value Problems Computing and Modeling Value Package 4th Edition after payment

 

Product details:

ISBN 10: 0135143772

ISBN 13: 9780135143773

Author: C. Henry Edwards, David E. Penney

This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. For mathematicians and those in the field of computer science.

Table of contents:

Chapter 1. First Order Differential Equations
Chapter 2. Differential Equations and Mathematical Models
Chapter 3. Integrals as General and Particular Solutions
Chapter 4. Slope Fields and Solution Curves
Chapter 5. Separable Equations and Applications
Chapter 6. Linear First Order Equations
Chapter 7. Substitution Methods and Exact Equations
Chapter 8. Mathematical Models and Numerical Methods
Chapter 9. Population Models
Chapter 10. Equilibrium Solutions and Stability
Chapter 11. Acceleration–Velocity Models
Chapter 12. Numerical Approximation: Euler’s Method
Chapter 13. A Closer Look at the Euler Method, and Improvements
Chapter 14. The Runge–Kutta Method

Chapter 15. Linear Equations of Higher Order
Chapter 16. Introduction: Second-Order Linear Equations
Chapter 17. General Solutions of Linear Equations
Chapter 18. Homogeneous Equations with Constant Coefficients
Chapter 19. Mechanical Vibrations
Chapter 20. Nonhomogeneous Equations and Undetermined Coefficients
Chapter 21. Forced Oscillations and Resonance
Chapter 22. Electrical Circuits
Chapter 23. Endpoint Problems and Eigenvalues

Chapter 24. Introduction to Systems of Differential Equations
Chapter 25. First-Order Systems and Applications
Chapter 26. The Method of Elimination
Chapter 27. Numerical Methods for Systems
Chapter 28. Linear Systems of Differential Equations
Chapter 29. Linear Systems and Matrices
Chapter 30. The Eigenvalue Method for Homogeneous Systems
Chapter 31. Second Order Systems and Mechanical Applications
Chapter 32. Multiple Eigenvalue Solutions
Chapter 33. Matrix Exponentials and Linear Systems
Chapter 34. Nonhomogeneous Linear Systems
Chapter 35. Nonlinear Systems and Phenomena
Chapter 36. Stability and the Phase Plane
Chapter 37. Linear and Almost Linear Systems
Chapter 38. Ecological Models: Predators and Competitors
Chapter 39. Nonlinear Mechanical Systems
Chapter 40. Chaos in Dynamical Systems

Chapter 41. Laplace Transform Methods
Chapter 42. Laplace Transforms and Inverse Transforms
Chapter 43. Transformation of Initial Value Problems
Chapter 44. Translation and Partial Fractions
Chapter 45. Derivatives, Integrals, and Products of Transforms
Chapter 46. Periodic and Piecewise Continuous Forcing Functions
Chapter 47. Impulses and Delta Functions

Chapter 48. Power Series Methods
Chapter 49. Introduction and Review of Power Series
Chapter 50. Series Solutions Near Ordinary Points
Chapter 51. Regular Singular Points
Chapter 52. Method of Frobenius: The Exceptional Cases
Chapter 53. Bessel’s Equation
Chapter 54. Applications of Bessel Functions

Chapter 55. Fourier Series Methods
Chapter 56. Periodic Functions and Trigonometric Series
Chapter 57. General Fourier Series and Convergence
Chapter 58. Even–Odd Functions and Termwise Differentiation
Chapter 59. Applications of Fourier Series
Chapter 60. Heat Conduction and Separation of Variables
Chapter 61. Vibrating Strings and the One-Dimensional Wave Equation
Chapter 62. Steady-State Temperature and Laplace’s Equation
Chapter 63. Eigenvalues and Boundary Value Problems
Chapter 64. Sturm–Liouville Problems and Eigenfunction Expansions
Chapter 65. Applications of Eigenfunction Series
Chapter 66. Steady Periodic Solutions and Natural Frequencies
Chapter 67. Applications of Bessel Functions
Chapter 68. Higher-Dimensional Phenomena

People also search:

partial differential equations boundary conditions

general solution to differential equation and boundary condition

differential equation solver with boundary conditions

differential equation together with boundary condition is called

differential equation with periodic boundary conditions

Tags: Henry Edwards, David Penney, Differential, Boundary