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I am a 3rd year undergrad studying maths. I am undertaking a module for methods of PDE's and was wondering whether it would be possible for someone to recommend a suitable textbook for this topic, preferably one with plenty of practice questions and suitable explanations.

The topics covered are:

  • Single first-order quasi-linear PDE: Characteristics, ground curves, the general method of solution.
  • Classification of linear 2nd-order PDEs, canonical form, characteristics
  • Well-posedness of problems, examples of ill-posed problems, the maximum principle for harmonic functions, uniqueness of solutions
  • The wave equation for an elastic string, D’Alembert’s solution, initial and boundary-value problems, Goursat problem.
  • The method of separation of variables for problems for hyperbolic, elliptic and parabolic equations.
  • Solving 2D Laplace’s equation using the method of conformal mapping
  • Systems of first-order PDEs, classification, canonical form, characteristics, Riemann invariants, simple waves

Thanks

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  • $\begingroup$ math.stackexchange.com/search?q=Pde+textbook $\endgroup$ – user223391 Dec 5 '17 at 23:46
  • $\begingroup$ Are you taking Math 352 ? :) $\endgroup$ – Leyla Alkan Dec 5 '17 at 23:46
  • $\begingroup$ no, i don't know what that means $\endgroup$ – user496685 Dec 5 '17 at 23:57
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    $\begingroup$ Don't your teachers recommend suitable textbooks for the course? $\endgroup$ – Hans Lundmark Dec 6 '17 at 9:16

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