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Beginning Partial Differential Equations, PDF eBook

Beginning Partial Differential Equations PDF

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A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields

Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger s equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems.

The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes, Beginning Partial Differential Equations, Third Edition also includes:

  • Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problem
  • The incorporation of Maple to perform computations and experiments
  • Unusual applications, such as Poe s pendulum
  • Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics
  • Fourier and Laplace transform techniques to solve important problems

Beginning of Partial Differential Equations, Third Edition is an ideal textbook for upper-undergraduate and first-year graduate-level courses in analysis and applied mathematics, science, and engineering.

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