Integral equations
Master
In Maynard (USA)
Description
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Type
Master
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Location
Maynard (USA)
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Start date
Different dates available
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.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Mechanics
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
Basic theory of one complex variable and ordinary differential equations (for example, either course Functions of a Complex Variable (18.112) or Advanced Calculus for Engineers (18.075) or Complex Variables with Applications (18.04)), or permission of Instructor.
Masujima, M. Applied Mathematical Methods of Theoretical Physics - Integral Equations and Calculus of Variations. Weinheim, Germany: Wiley-VCH, 2005. ISBN: 3527405348.
There are eight homework assignments, each due 1.5 to 2 weeks after they are handed out. There are also two practice sets that will not be graded.
There are no exams in this course.
Grading is based entirely on the homework.
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Integral equations