Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions

ISBN-13: 9781681744841 / Angielski / Miękka / 2017 / 191 str.

Brett Borden; James Luscombe

Opis

Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced.

Spis treści

• 1. Introduction
• 2. Partial Differential Equations
• 3. Separation of Variables
• 4. Power-series Solutions of ODEs
• 5. Sturm-Liouville Theory
• 6. Fourier Series and Integrals
• 7. Spherical Harmonics and Friends
• 8. Bessel Functions and Friends
• 9. Conclusion