18.325
Topics in Applied Mathematics: Waves and Imaging
Fall 2015
This class covers the mathematics of inverse problems involving waves, with examples taken from reflection seismology, synthetic aperture radar, and computerized tomography.
Readings
- There is not one textbook. The material will be inspired from various sources. Here is a list of references that sometimes go way beyond what we’ll do in class.
- For Acoustics, see the book: Kinsler, Lawrence E. Fundamentals of Acoustics . Wiley, 1999. ISBN: 9780471847892.
- Folland, Gerald B. Introduction to Partial Differential Equations . Princeton University Press, 1975. ISBN: 9788120318854.
- John, Fritz. Partial Differential Equations . Springer, 2013. ISBN: 9781468493351.
- Whitham, Gerald Beresford. Linear and Nonlinear Waves . Wiley-Interscience, 1999. ISBN: 9780471359425.
Sources
- Course catalogue ↗Historical OpenCourseWare
- MIT OCW syllabus ↗
- MIT OCW readings ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.