Partial Differential Equations and Boundary Value Problems with Applications

Written for advanced level courses in Partial Differential Equations (sometimes called Fourier Series or Boundary Value Problems) in departments of Maths, Physics, and Engineering. Both Calculus and Differential Equations are prerequisites for this course. Pinsky's text, while still covering more traditional material in early chapters, de-emphasizes the use of special functions and rigorous proofs while emphasizing the use of Green's function, approximation methods, numerical methods, and asymptotic methods. The text stresses careful analysis of the basic equations, solution methods and selected application interpretations; organizes material around geometric considerations rather than solely around physical models; carefully distinguishes between the Fourier and the explicit representation of the solution of partial differential equations; develops numerical solutions and approximation methods including both perturbation methods and variational methods.