Applied Partial Differential Equations – David L. Logan – 1st Edition


This concise and up-­to-­date textbook is designed for the standard sophomore course in . It treats the basic ideas, models, and solution in a user friendly format that is accessible to engineers, , economists, and mathematics majors.

It emphasizes analytical, graphical, and numerical techniques, and it provides the tools needed by students to continue to the next level in applying the methods to more advanced problems. There is a strong connection to applications with motivations in mechanics and heat , , biology, economics, chemical reactors, and other areas. Moreover, the text contains a new, elementary chapter on systems of equations, both linear and nonlinear, that introduces key ideas without matrix .

Two subsequent chapters treat systems in a more formal way. Briefly, the topics include: First-­order equations: separable, linear, autonomous, and bifurcation phenomena; Second-­order linear homogeneous and non-­homogeneous equations; Laplace transforms; and Linear and nonlinear systems, and phase plane .

Table of Content

  1. The Physical Origins of Partial Differential Equations

  2. Partial Differential Equations on Unbounded Domains

  3. Orthogonal Expansions

  4. Partial Differential Equations on Bounded Domains

  5. PDE Models in Biology

Appendix: Ordinary Differential Equations
Table of Laplace Transforms

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