Boundary Value Problems and Partial Differential Equations - 7th Edition - ISBN: 9780128128060

Boundary Value Problems and Partial Differential Equations

7th Edition

Authors: Joseph Skufca David Powers
Paperback ISBN: 9780128128060
Imprint: Academic Press
Published Date: 1st April 2018
Page Count: 600
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Description

Successful for over 40 years, Boundary Value Problems and Partial Differential Equations 7th 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, the work 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.


NEW TO THIS EDITION:

  • 35% new or revised compared to the 2009 edition reflects a decade of advances
  • Discusses all-new modelling techniques with derivations - often critically important in engineering
  • Chapter-length coverage of elasticity problems, focusing particularly on Euler beam theory
  • All-new coverage of vibrating beams in wave equations

Key Features

  • 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
  • Accompanied by Instructor's Manual and Student Solutions Manual

Readership

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

Table of Contents

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

Details

No. of pages:
600
Language:
English
Copyright:
© Academic Press 2019
Published:
Imprint:
Academic Press
Paperback ISBN:
9780128128060

About the Author

Joseph Skufca

Joseph Skufca is an expert in applied dynamical systems and mathematical modeling. He has nearly 20 years of experience as a classroom instructor, with a significant portion focused on applied mathematics focused toward engineering applications. He has a national reputation for bringing modeling and real world projects into the classroom.

Affiliations and Expertise

Clarkson University, Potsdam, NY, USA

David Powers

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

Affiliations and Expertise

Clarkson University, Potsdam, USA