An excellent toolkit for senior undergraduate and graduate students, this book presents the qualitative properties of solutions, beside the representation formulae, of the three important equations of mathematical physics - Laplace and Poisson equations, heat or diffusion equation, and wave equations in one and more space dimensions.
A useful guide explaining principles of ordinary differential equations with focus on real-life applications. It offers detailed discussion on first and second order linear equations, qualitative theory and initial value problems. Numerous exercises, mathematical theorems and their proofs make it useful for graduate students.
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