New
Boundary Value Problems and Partial Differential Equations,
Edition 7Editors: By David L. Powers, Matthew A. Beauregard, Lynn Greenleaf and Jonathan Mitchell
Publication Date:
30 Jan 2026
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For over fifty years, Boundary Value Problems and Partial Differential Equations, Seventh Edition has provided advanced students an accessible and practical introduction to deriving, solving, and interpreting explicit solutions involving partial differential equations with boundary and initial conditions. Fully revised and now in its Seventh Edition, this valued text aims to be comprehensive without affecting the accessibility and convenience of the original. The resource’s main tool is Fourier analysis, but the work covers other techniques, including Laplace transform, Fourier transform, numerical methods, characteristics, and separation of variables, as well, to provide well-rounded coverage. Mathematical modeling techniques are illustrated in derivations, which are widely used in engineering and science. In particular, this includes the modeling of heat distribution, a vibrating string or beam under various boundary conditions and constraints. New to this edition, the text also now uniquely discusses the beam equation. Throughout the text, examples and exercises have been included, pulled from the literature based on popular problems from engineering and science. These include some "outside-the-box" exercises at the end of each chapter, which provide challenging and thought-provoking practice that can also be used to promote classroom discussion. Chapters also include Projects, problems that synthesize or dig more deeply into the material that are slightly more involved than standard book exercises, and which are intended to support team solutions. Additional materials, exercises, animations, and more are also accessible to students via links and in-text QR codes to support practice and subject mastery.
Key Features
- Introduces students to mathematical modeling leading to explicit solutions for ordinary and partial differential equations
- Covers a variety of methods including separation of variables, Laplace transforms, and numerical methods
- Contains 1000+ exercises and numerous examples and case studies drawn from published literature in Engineering and Science
- Offers online resources for instructors and students
About the author
By David L. Powers, Clarkson University, Potsdam, NY, USA; Matthew A. Beauregard, Professor of Mathematics, Stephen F. Austin State University (SFA), USA; Lynn Greenleaf, Formerly, Department of Mathematics, Stephen F. Austin State University, Nacogdoches, Texas, USA and Jonathan Mitchell, Associate Professor of Mathematics, Stephen F. Austin State University (SFA)
1. Ordinary Differential Equations
2. Fourier Series and Integrals
3. The Heat Equation
4. The Wave Equation
5. The Potential Equation
6. Higher Dimensions and Other Coordinates
7. Transform Methods 8. Numerical Methods
2. Fourier Series and Integrals
3. The Heat Equation
4. The Wave Equation
5. The Potential Equation
6. Higher Dimensions and Other Coordinates
7. Transform Methods 8. Numerical Methods
ISBN:
9780443298820
Page Count:
542
Retail Price
:
Access to teacher/student resources is available to registered users with approved inspection copies or confirmed adoptions. To review this material, please request an inspection copy.
One-semester or two-quarter course in partial differential equations given to third and fourth year students in engineering and science. Students in mathematics, physics, engineering taking courses in thermal dynamics, acoustics, electromagnetic wave theory and quantum mechanics