Differential equations with Maple V / / Martha L. Abell, James P. Braselton.
Differential Equations with Maple V provides an introduction and discussion of topics typically covered in an undergraduate course in ordinary differential equations as well as some supplementary topics such as Laplace transforms, Fourier series, and partial differential equations. It also illustrates how Maple V is used to enhance the study of differential equations not only by eliminating the computational difficulties, but also by overcoming the visual limitations associated with the solutions of differential equations.The book contains chapters that present differential equations and illus
Gespeichert in:
E-Book
| Person(en) | , |
|---|---|
| Ort, Verlag, Jahr |
Cambridge, Massachusetts
: AP Professional
, 1994
|
| Umfang | 1 online resource (703 p.) |
| ISBN | 1-4832-6657-5 |
| Sprache | Englisch |
| Zusatzinfo | Description based upon print version of record. |
| Zusatzinfo | ""Front Cover""; ""Differential Equations with Maple V®""; ""Copyright Page""; ""Table of Contents""; ""Preface""; ""CHAPTER 1. INTRODUCTION TO DIFFERENTIAL EQUATIONS""; ""1.1 PURPOSE""; ""1.2 Definitions and Concepts""; ""1.3 Solutions of Differential Equations""; ""1.4 Initial-and Boundary-Value Problems""; ""1.5 Direction Fields""; ""CHAPTER 2. FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS""; ""2.1 Separation of Variables""; ""2.2 Homogeneous Equations""; ""2.3 Exact Equations""; ""2.4 Linear Equations""; ""2.5 Some Special Differential Equations""; ""2.6 Theory of First-Order Equations"" ""2.7 Numerical Approximation of First-Order Equations""""CHAPTER 3. APPLICATIONS OF FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS""; ""3.1 Orthogonal Trajectories""; ""3.2 Population Growth and Decay""; ""3.3 Newton's Law of Cooling""; ""3.4 Free-Falling Bodies""; ""CHAPTER 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS""; ""4.1 Preliminary Definitions and Notation""; ""4.2 Solutions of Homogeneous Equations with Constant Coefficients""; ""4.3 Nonhomogeneous Equations with Constant Coefficients: The Annihilator Method"" ""4.4 Nonhomogeneous Equations with Constant Coefficients: The Method of Undeternined Coefficients""""4.5 Nonhomogeneous Equations with Constant Coefficients:Variation of Parameters""; ""CHAPTER 5. APPLICATIONS OF HIGHER-ORDER DIFFERENTIAL EQUATIONS""; ""5.1 Simple Harmonic Motion""; ""5.2 Damped Motion""; ""5.3 Forced Motion""; ""5.4 Other Applications""; ""5.5 The Pendulum Problem""; ""CHAPTER 6. ORDINARY DIFFERENTIAL EQUATIONS WITH NONCONSTANT COEFFICIENTS""; ""6.1 Cauchy-Euler Equations""; ""6.2 Power Series Review""; ""6.3 Power Series Solutions about Ordinary Points"" ""6.4 Power Series Solutions about Regular Singular Points""""6.5 Some Special Equations""; ""CHAPTER 7. INTRODUCTION TO THE LAPLACE TRANSFORM""; ""7.1 The Laplace Transform: Preliminary Definitions and Notation""; ""7.2 The Inverse Laplace Transform""; ""7.3 Solving Initial-Value Problems with the Laplace Transform""; ""7.4 Laplace Transforms of Several Important Functions""; ""7.5 The Convolution Theorem""; ""CHAPTER 8. APPLICATIONS OF LAPLACE TRANSFORMS""; ""8.1 Spring-Mass Systems Revisited""; ""8.2 L-R-C Circuits Revisited""; ""8.3 Population Problems Revisited"" ""CHAPTER 9. SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS""""9.1 Systems of Equations: The Operator Method""; ""9.2 Review of Matrix Algebra and Calculus""; ""9.3 Preliminary Definitions and Notation""; ""9.4 Homogeneous Linear Systems with Constant Coefficients""; ""9.5 Variation of Parameters""; ""9.6 Laplace Transforms""; ""9.7 Nonlinear Systems, Linearization, and Classification of Equilibrium Points""; ""9.8 Numerical Methods""; ""CHAPTER 10. APPLICATIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS""; ""10.1 L-R-C Circuits with Loops""; ""10.2 Diffusion Problems"" ""10.3 Spring-Mass Systems"" |
| Zusatzinfo | English |
| Online-Zugang | Elsevier SD eBook - Mathematics (Legacy 1) [EBCML1] |
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