Last edition Elsevier Mathematical Physics with Partial Differential Equations, Second Edition, is designed for upper division undergraduate and beginning graduate students taking mathematical physics taught out by math departments. The new edition is based on the success of the first, with a continuing focus on clear presentation, detailed examples, mathematical rigor and a careful selection of topics. It presents the familiar classical topics and methods of mathematical physics with more extensive coverage of the three most important partial differential equations in the field of mathematical physics—the heat equation, the wave equation and Laplace’s equation.
Last Edition
ISBN 13: 9780128147597
Imprint: Academic Press
Language: English
Authors: James Kirkwood
Pub Date: 02/2018
Pages: 492
Illus: Illustrated
Weight: 1,020.00 grams
Size: h 191 X 235 mm
Product Type: Softcover
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- • Introduces and evaluates numerous physical and engineering concepts in a rigorous mathematical framework
- • Provides extremely detailed mathematical derivations and solutions with extensive proofs and weighting for application potential
- • Explores an array of detailed examples from physics that give direct application to rigorous mathematics
- • Offers instructors useful resources for teaching, including an illustrated instructor's manual, PowerPoint presentations in each chapter and a solutions manual
- James Kirkwood, Bringing over 25 years of teaching expertise, James Kirkwood is the author of ten mathematics books published in a range of areas from calculus to real analysis and mathematical biology. He has been awarded 4 awards for continuing research in the area of mathematical physics, including the 2016 ‘Outstanding Faculty Award of the State Council for Higher Education in Virginia’ – the highest award the state bestows.
- 1. Preliminaries
- 2. Vector Calculus
- 3. Green’s Function
- 4. Fourier Series
- 5. Three Important Equations
- 6. Sturm-Liouville Theory
- 7. Solving PDE’s in Cartesian Coordinates by Separation of Variables
- 8. Generating Functions
- 9. Solving PDE’s in Cylindrical Coordinates by Separation of Variables
- 10. Solving PDE’s in spherical coordinates w/Sep. of Variables
- 11. The Fourier Transform
- 12. The Laplace Transform
- 13. Solving PDE’s using Green’s Functions
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