Basic Partial Differential Equations - Hardcover

Bleecker, David.; Csordas, George.

 
9780412067617: Basic Partial Differential Equations

Synopsis

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.

    Synopsis

    This self-contained paperback edition offers an exhaustive treatment of basic partial differential equation concepts and solution methods applicable in mathematics, science and engineering. It incorporates topics including traffic flow shocks, population dynamics, fluid flow, rostatistics, minimal surfaces, gravitation, spheres and manifolds, and quantum mechanics. Assuming one-and-one-half years of calculus, but requiring no previous course in differential equations or linear algebra, this text is suitable for both students and professionals. It details more than 280 examples and presents 600 problems, with proofs, from routine to rigorous.

    "About this title" may belong to another edition of this title.

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