Various lecture notes in Adobe .pdf format.

Caveat Lector!

Some lectures on topics connected to magnetic resonance imaging

The material in the lectures is all copyrighted by Charles L. Epstein, except as noted. Material copyrighted by other authors may only be used for teaching a research purposes.
  1. Lecture 1: Magnetic Resonance Imaging: Basic Concepts.
  2. Lecture 2: Fourier Transform, Imaging and Contrast.
  3. Lecture 3: Diffusion, and Susceptibility.

  • The second edition of "Introduction to The Mathematics of Medical Imaging" is now available from SIAM

  • The webpage for Math 584, 2006.

  • Lecture Notes on indices, relative indices and Toeplitz operators. Summer 1999
  • Indices and relative indices in CR and contact geometry

  • Notes on related topics

  • Several complex variables
  • Title page
    Section 1
    Section 2
    Section 3

  • Pseudodifferential operators
    1. Basic analysis for students of pseudodifferential operators
    2. Elliptic boundary value problems for the Laplace operator
    3. Pseudodifferential Methods for Boundary Value Problems. This corrects an error in the published version in Fields Institute Communications, vol. 52.

  • Functions of a complex variable
  • One complex variable Courtesy of Jeff Achter.

  • An elementary lecture on the design of selective RF-pulses in Magnetic Resonance Imaging.
  • A Lecture on Selective RF-pulses in MRI from BE581, Spring 2003.
    If you have any comment or corrections please send them to me at . Thanks very much!