Boundary Value Problems and Partial Differential Equations (7th Ed.) and Partial Differential Equations
Auteurs : Powers David L., Beauregard Matthew A.
Features 35% new or revised content compared to the 2009 edition, reflecting a decade of advances. The book discusses all-new modeling techniques with derivations, which are often critically important in engineering. Includes coverage of elasticity problems, focusing particularly on Euler beam theory, as well as all new content on vibrating beams in wave equations.
2. Fourier Series and Integrals
3. The Heat Equation
4. The Wave Equation
5. The Potential Equation
6. Euler Beam (NEW)
7. Higher Dimensions and Other Coordinates
8. Laplace Transform
9. Numerical Methods
This textbook is designed for a one-semester or two-quarter course in partial differential equations given to third and fourth year students in engineering and science. It can also be used as the basis for an introductory course for graduate students. Prerequisites have been kept to calculus and differential equations. Students in mathematics, physics, engineering taking courses in thermal dynamics, acoustics, electromagnetic wave theory and quantum mechanics may also be interested.
Matthew Beauregard is a professor of mathematics at Stephen F. Austin State University (SFA). His research interests are in applied mathematics, particularly mathematical modeling and scientific computing. In this decade, he has mentored over 50 undergraduate students in undergraduate interdisciplinary research activities in applied mathematics.
- Introduces students to mathematical modeling leading to explicit solutions for ordinary and partial differential equations
- Provides a palette of methods including separation of variables, Laplace transforms, and numerical methods
- Contains 1000+ exercises and numerous examples and case studies drawn from the literature
- Includes an Instructor's Manual and Student Solutions Manual
Date de parution : 03-2024
Ouvrage de 550 p.
15.2x22.8 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 92,73 €
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