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.
A complete introduction to partial differential equations, this is a textbook aimed at students of mathematics, physics and engineering.
'Their book spans both introductory and advanced material, making it suitable for use right through a UK undergraduate degree. ... It stresses the practical applications of rigour, introduced with a touch sufficiently light not to put off the average student.' Times Higher Education Supplement 'The theoretical parts of the book are complemented by a good range of examples and problems. In summary, the book is a good introduction to the field that can be recommended for either class use or self-study.' Zeitschrift fur Angewandte Mathematik und Mechanik 'This is a thought-provoking book that links theory with applications and should be welcomed in any university library.' The Mathematical Gazette
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