Other versions by this Author
| Introduction | |
| Background | |
| Solutions and Initial Value Problems | |
| Direction Fields | |
| The Approximation Method of Euler | |
| First Order Differential Equations | |
| Introduction: Motion of a Falling Body | |
| Separable Equations | |
| Linear Equations | |
| Exact Equations | |
| Special Integrating Factors | |
| Substitutions and Transformations | |
| Mathematical Models and Numerical Methods Involving First Order Equations | |
| Mathematical Modeling | |
| Compartmental Analysis | |
| Heating and Cooling of Buildings | |
| Newtonian Mechanics | |
| Electrical Circuits | |
| Improved Euler's Method | |
| Higher-Order Numerical Methods: Taylor and Runge-Kutta | |
| Linear Second Order Equations | |
| Introduction: The Mass-Spring Oscillator | |
| Homogeneous Linear Equations; the General Solution | |
| Auxiliary Equations with Complex Roots | |
| Nonhomogeneous Equations: the Method of Undetermined Coefficients | |
| The Superposition Principle and Undetermined Coefficients Revisited | |
| Variation of Parameters | |
| Qualitative Considerations for Variable-Coefficient and Nonlinear Equations | |
| A Closer Look at Free Mechanical Vibrations | |
| A Closer Look at Forced Mechanical Vibrations | |
| Introduction to Systems and Phase Plane Analysis | |
| Interconnected Fluid Tanks | |
| Elimination Method for Systems with Constant Coefficients | |
| Solving Systems and Higher-Order Equations Numerically | |
| Introduction to the Phase Plane | |
| Coupled Mass-Spring Systems | |
| Electrical Systems | |
| Dynamical Systems, Poincaré Maps, and Chaos | |
| Theory of Higher-Order Linear Differential Equations | |
| Basic Theory of Linear Differential Equations | |
| Homogeneous Linear Equations with Constant Coefficients | |
| Undetermined Coefficients and the Annihilator Method | |
| Method of Variation of Parameters | |
| Laplace Transforms | |
| Introduction: A Mixing Problem | |
| Definition of the Laplace Transform | |
| Properties of the Laplace Transform | |
| Inverse Laplace Transform | |
| Solving Initial Value Problems | |
| Transforms of Discontinuous and Periodic Functions | |
| Convolution | |
| Impulses and the Dirac Delta Function | |
| Solving Linear Systems with Laplace Transforms | |
| Series Solutions of Differential Equations | |
| Introduction: The Taylor Polynomial Approximation | |
| Power Series and Analytic Functions | |
| Power Series Solutions to Linear Differential Equations | |
| Equations with Analytic Coefficients | |
| Cauchy-Euler (Equidimensional) Equations | |
| Method of Frobenius | |
| Finding a Second Linearly Independent Solution | |
| Special Functions | |
| Matrix Methods for Linear Systems | |
| Introduction | |
| Review 1: Linear Algebraic Equations | |
| Review 2: Matrices and Vectors | |
| Linear Systems in Normal Form | |
| Homogeneous Linear Systems with Constant Coefficients | |
| Complex Eigenvalues | |
| Nonhomogeneous Linear Systems | |
| The Matrix Exponential Function | |
| Partial Differential Equations | |
| Introduction: A Model for Heat Flow | |
| Method of Separation of Variables | |
| Fourier Series | |
| Fourier Cosine and Sine Series | |
| The Heat Equation | |
| The Wave Equation | |
| Laplace's Equation | |
| Eigenvalue Problems and Sturm-Liouville Equations | |
| Introduction: Heat Flow in a Nonuniform Wire | |
| Eigenvalues and Eigenfunctions | |
| Regular Sturm-Liouville Boundary Value Problems | |
| Nonhomogeneous Boundary Value Problems and the Fredholm Alternative | |
| Solution by Eigenfunction Expansion | |
| Green's Functions | |
| Singular Sturm-Liouville Boundary Value Problems | |
| Oscillation and Comparison Theory | |
| Stability of Autonomous Systems | |
| Introduction: Competing Species | |
| Linear Systems in the Plane | |
| Almost Linear Systems | |
| Energy Methods | |
| Lyapunov's Direct Method | |
| Limit Cycles and Periodic Solutions | |
| Stability of Higher-Dimensional Systems | |
| Existence and Uniqueness Theory | |
| Introduction: Successive Approximations | |
| Picard's Existence and Uniqueness Theorem | |
| Existence of Solutions of Linear Equations | |
| Continuous Dependence of Solutions | |
| Appendices. Newton's Method | |
| Simpson's Rule | |
| Cramer's Rule | |
| Method of Least Squares | |
| Runge-Kutta Precedure for n Equations | |
| Answers to Odd-Numbered Problems | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
Fundamentals of Differential Equations and Boundary Value Problems
by Nagle, R. Kent; Saff, E. B.; Snider, Arthur DavidEdition: 2nd
Format: Hardcover
Pub. Date: 1996-06-01
Publisher(s): Addison-Wesley
List Price: $103.00
Buy New
Usually Ships in 2-3 Business Days
$102.90
Rent Textbook
Select for Price
Used Textbook
We're Sorry
Sold Out
eTextbook
We're Sorry
Not Available
How Marketplace Works:
- This item is offered by an independent seller and not shipped from our warehouse
- Item details like edition and cover design may differ from our description; see seller's comments before ordering.
- Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
- Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
- Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.
Table of Contents
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.