Mathematical Physics with Partial Differential Equations

ISBN-13: 9780128147597 / Angielski / Miękka / 2018 / 492 str.

James Kirkwood

Recenzje

"This is an interesting book with, perhaps, a somewhat inaccurate title. I do not really see this book as any kind of text on physics, but rather as an introduction to partial differential equations or, perhaps, mathematical modeling. ...The author's writing style is reasonably clear and quite detailed, and he provides numerous examples throughout the book. ...People teaching a course that is more narrowly focused on the "big three” PDEs of mathematical physics might, however, want to take a look at this text. In addition, the level of detail and rigor found in the book might also make it quite suitable as a reference." --The Mathematical Gazette

Spis treści

1. Preliminaries2. Vector Calculus3. Green's Function4. Fourier Series5. Three Important Equations6. Sturm-Liouville Theory7. Solving PDE's in Cartesian Coordinates by Separation of Variables8. Generating Functions9. Solving PDE's in Cylindrical Coordinates by Separation of Variables10. Solving PDE's in spherical coordinates w/Sep. of Variables11. The Fourier Transform12. The Laplace Transform13. Solving PDE's using Green's Functions