Mathematical Physics with Partial Differential Equations
- James Kirkwood, Professor of Mathematical Sciences, Sweet Briar College, Sweet Briar, VA, USA
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 Laplaceâs equation. The most common techniques of solving such equations are developed in this book, including Greenâs functions, the Fourier transform, and the Laplace transform, which all have applications in mathematics and physics far beyond solving the above equations. The bookâs 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 bookâs rigor supports the vital sophistication for someone wanting to continue further in areas of mathematical physics.
Advanced Undergraduate and Graduate Students, Instructors, Academic Researchers in University Mathematics Departments