Applied Partial Differential Equations
Boundary value problems; topics on partial differentiation; theory of characteristic curves; partial differential equations of mathematical physics.
Partial Differential Equations with Fourier series and Boundary Value Problems, Asmar, 3rd edition, Dover.
Chapter 1: A Preview of Applications and Techniques
Chapter 2: Fourier series
Chapter 3: Partial Differential Equations in Rectangular Coordinates
Chapter 4: Partial Differential Equations in Polar and Cyclindrical Coordinates
Chapter 5: Partial Differential Equations in Spherical Coordinates
Chapter 6: Sturm-Liouville Theory with Engineering Applications
Chapter 7: The Fourier Transform and its Applications
Chapter 8: The Laplace and Hankel Transforms with Applications
Chapter 9: Finite Difference Numerical Methods
Chapter 10: Sampling and Discrete Fourier Analysis with Applications to Partial Differential Equations
Chapter 11: An Introduction to Quantum Mechanics Chapter 12: Green's Functions and Conformal Mappings
(Stanislavova 2017 )