Differential Equations New!
New!
Ordinary Differential Equations
Solution Techniques for Elementary Partial Differential Equations
Applications, Models, and Computing Charles E. Roberts, Jr. Indiana State University, Terre Haute, USA
Bringing the computer into the classroom, this text emphasizes the use of computer software in teaching linear and nonlinear differential equations and systems. Designed to be independent of any particular software package, the book includes a CD-ROM with the software used to generate the solutions and graphs for the examples. The appendices contain complete instructions for running the software.
Features • Provides an even balance between theory, computer solution, and application • Includes numerical case studies that highlight possible pitfalls when computing a numerical solution without first considering the appropriate theory
Second Edition Christian Constanda University of Tulsa, Oklahoma, USA
“This concise, well-written book, which includes a profusion of worked examples and exercises, serves as an excellent text in undergraduate and graduate learning … .” —Barbara Zubik-Kowal, Boise State University, Idaho, USA
“… In my opinion, this is quite simply the best book of its kind that I have seen thus far. The book not only contains solution methods for some very important classes of PDEs, in an easyto-read format, but is also student-friendly and teacher-friendly at the same time. It is definitely a textbook that should be adopted.” —From the Foreword by Peter Schiavone, University of Alberta, Edmonton, Canada
• Shows how to solve population growth, epidemic, and predator-prey models
Winner of the 2002 CHOICE Outstanding Academic Title Award!
• Requires no prior knowledge of programming languages
Solutions manual available for qualifying instructors
Solutions manual available for qualifying instructors
Contents
Introduction. The Initial Value Problem y′ = f (x, y); y(c) =d. Applications of the Initial Value Problem y′ = f (x, y); y(c) =d. N-th Order Linear Differential Equations. The Laplace Transform Method. Applications of Linear Differential Equations with Constant Coefficients. Systems of First-Order Differential Equations. Linear Systems of First-Order Differential Equations. Applications of Linear Systems with Constant Coefficients. Applications of Systems of Equations. Appendices. Answers to Selected Exercises. References. Index.
Ordinary Differential Equations: Brief Revision. Fourier Series. Sturm–Liouville Problems. Some Fundamental Equations of Mathematical Physics. The Method of Separation of Variables. Linear Nonhomogeneous Problems. The Method of Eigenfunction Expansion. The Fourier Transformations. The Laplace Transformation. The Method of Green’s Functions. General Second-Order Linear Partial Differential Equations with Two Independent Variables. The Method of Characteristics. Perturbation and Asymptotic Methods. Complex Variable Methods. Answers to Odd-Numbered Exercises. Appendix. Bibliography. Index.
Catalog no. K11006, April 2010, 600 pp. ISBN: 978-1-4398-1908-1, $99.95
Catalog no. K10569, June 2010, 343 pp. Soft Cover, ISBN: 978-1-4398-1139-9, $69.95
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