Buch, Englisch, 432 Seiten, Format (B × H): 161 mm x 241 mm, Gewicht: 711 g
Buch, Englisch, 432 Seiten, Format (B × H): 161 mm x 241 mm, Gewicht: 711 g
ISBN: 978-0-12-386911-1
Verlag: ACADEMIC PR INC
Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most important partial differential equations in the field - the heat equation, the wave equation, and Laplace's equation. The most common techniques of solving such equations are developed in this book, including Green's functions, the Fourier transform, and the Laplace transform, which all have applications in mathematics and physics far beyond solving the above equations. The book's focus is on both the equations and their methods of solution. Ordinary differential equations and PDEs are solved including Bessel Functions, making the book useful as a graduate level textbook. The book's rigor supports the vital sophistication for someone wanting to continue further in areas of mathematical physics.
Zielgruppe
<p>Advanced Undergraduate and Graduate Students, Instructors, Academic Researchers in University Mathematics Departments</p>
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1. Prelimininaries2. Vector Calculus3. Green's Functions4. Fourier Series5. Three Important Equations6. Sturm-Liouville Theory7. Solving PDE's in Cartesian Coordinates by Separation of Variables8. Solving PDE's in Cylindrical Coordinates by Separation of Variables9. Solving PDE's in Spherical Coordinates w/ Sep. of Variables10. The Fourier Transform11. The Laplace Transform12. Solving PDE's Using Green's FunctionsAppendixBibliography
