Material Detail

18.307 Integral Equations | Mathematics

This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.

Keywords:: applied mathematics, ingular integral equations, acoustics, Mathematical Analysis, Differential Equations, Calculus, Fredholm theory, Hilbert-Schmidt theorem, Fredholm equation, integral equations, solid mechanics, quantum mechanics, Wiener-Hopf Method, inverse scattering transform, group theory, Cauchy type, partial differential equations, Theoretical Physics, fluid mechanics, Applied Mathematics, Volterra equation, Hilbert Problem

Disciplines:

Mathematics and Statistics / Mathematics

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Material Type:: Online Course
Date Added to MERLOT:: May 12, 2016
Date Modified in MERLOT:: May 12, 2016
Author:: Unknown (Know the author?)
Submitter:: Barbra Bied Sperling

Primary Audience:: Graduate School
Technical Format:: Website
Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States