Topics not usually found in books at this level include but examined in this text:
the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks
convergence of numerical solutions of PDEs and implementation on a computer
convergence of Laplace series on spheres
quantum mechanics of the hydrogen atom
solving PDEs on manifolds
The text requires some knowledge of calculus but none on differential equations or linear algebra.
"synopsis" may belong to another edition of this title.
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