Boundary Value Problems - And Partial Differential Equations

Informationen zum Autor David Powers has taught applied mathematics for over 40 years. His research includes matrix theory, graph theory and applications to biochemistry and engineering. Boundary Value Problemsis the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations. In this updated edition, author David Powers provides a thorough overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Additional techniques used include Laplace transform and numerical methods. Professors and students agree that Powers is a master at creating examples and exercises that skillfully illustrate the techniques used to solve science and engineering problems. Zusammenfassung Offers 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercises. This book includes exercises based on present engineering applications.

List of contents

Differential Equations
1. Fourier Series and Integrals
2. The Heat Equation
3. The Wave Equation
4. The Potential Equation
5. Higher Dimensions and Other Coordinates
6. Laplace Transform
7. Numerical Methods

Product details

• Authors: David L. Powers, David Powers, David L. Powers, David L. (Clarkson University Powers
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Hardback
• Released: 13.10.2009
• EAN: 9780123747198
• ISBN: 978-0-12-374719-8
• No. of pages: 520
• Series: Academic Press
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations