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Boundary Value Problems and Partial Differential Equations

and Partial Differential Equations

Boundary Value Problems and Partial Differential Equations - Powers, David L.; Beauregard, Matthew A. - ISBN: 9780128128060
Prijs: € 90,40 (onder voorbehoud)
Beschikbaarheid: Nog niet verschenen.
Bindwijze: Boek, Paperback (01-01-2022)
Genre: Toepassingsgerichte wiskunde
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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


Titel: Boundary Value Problems and Partial Differential Equations
auteur: Powers, David L.; Beauregard, Matthew A.
Mediatype: Boek
Bindwijze: Paperback
Taal: Engels
Druk: 7
Aantal pagina's: 550
Uitgever: Elsevier Science
Publicatiedatum: 2022-01-01
NUR: Toepassingsgerichte wiskunde
Afmetingen: 229 x 152
ISBN/ISBN13: 9780128128060
Intern nummer: 40095151

Biografie (woord)

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.

Extra informatie

This updated version of the classic textbook teaches how to solve boundary value problems using partial differential equations


1. Ordinary Differential 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


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