An Introduction to Partial Differential Equations

A complete introduction to partial differential equations, this is a textbook aimed at students of mathematics, physics and engineering.

Zusammenfassung
A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory.

Inhalt

1. Introduction; 2. First-order equations; 3. Second-order linear equations; 4. The 1D wave equation; 5. Separation of variables; 6. Sturm-Liouville problem; 7. Elliptic equations; 8. Green's function and integral representation; 9. Equations in high dimensions; 10. Variational methods; 11. Numerical methods; 12. Solutions of odd-numbered problems.