Partial Differential Equations

ISBN-13: 9781470464912 / Miękka / 2022 / 627 str.

Rustum Choksi

Spis treści

• Basic definitions
• First-order PDEs and the method of characteristics
• The wave equation in one space dimension
• The wave equation in three and two space dimensions
• The delta ""function"" and distributions in one space dimension
• The Fourier transform
• The diffusion equation
• The Laplacian, Laplace's equation, and harmonic functions
• Distributions in higher dimensions and partial differentiation in the sense of distributions
• The fundamental solution for Green's functions for the Laplacian
• Fourier series
• The separation of variables algorithm for boundary value problems
• Uniting the big three second-order linear equations and what's next
• Objects and tools of advanced calculus
• Bibliography
• Index