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

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

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

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 properties.

  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
References
Index

Title: Applied Partial Differential Equations
Author: J. David Logan
Edition: 1st Edition
ISBN: 9780387259635 | 9780387299303 | 9781441975911
Type: Solution Manual
Language: English
Differential Equations
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