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Boundary Value Problems and Partial Differential Equations

Autor David L. Powers, Matthew A. Beauregard
en Limba Engleză Paperback – 29 feb 2024
Boundary Value Problems and Partial Differential Equations, Seventh Edition, remains the preeminent resource for upper division undergraduate and graduate students seeking to derive, solve and interpret explicit solutions involving partial differential equations with boundary and initial conditions. Fully revised to reflect advances since the 2009 edition, this book aims to be comprehensive without affecting the accessibility and convenience of the original. The main tool is Fourier analysis, but other techniques including Laplace transform, numerical methods, and separation of variables are introduced as well. Examples and exercises are carefully selected from the literature based on popular problems from engineering and science.

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.

  • 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
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Specificații

ISBN-13: 9780128128060
ISBN-10: 0128128062
Pagini: 550
Dimensiuni: 152 x 229 mm
Ediția:7
Editura: ELSEVIER SCIENCE

Public țintă

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.

Cuprins

1. Ordinary Differential Equations2. Fourier Series and Integrals3. The Heat Equation4. The Wave Equation5. The Potential Equation6. Euler Beam (NEW)7. Higher Dimensions and Other Coordinates8. Laplace Transform9. Numerical Methods

Notă biografică

David Powers has taught applied mathematics for over 40 years. His research includes matrix theory, graph theory and applications to biochemistry and engineering.