Fourier Analysis - Theory and Applications continues the content covered in Analysis I (18.100B). Roughly half of the subject is devoted to the theory of the Lebesgue integral with applications to probability, and half to Fourier series and Fourier integrals.
Prerequisite
Analysis I (18.100B)
Textbooks
Required
Adams, Malcolm, and Victor Guillemin. Measure Theory and Probability. Boston: Springer Verlag, 1996.
Suggested
Rudin, W. Real and Complex Analysis. 3rd ed. New York, NY: McGraw-Hill, 1987.
Grading
Grades mean what they are supposed to:
[A] Essential mastery of the course.
[B] Clear facility with most of the material.
[C] Marginal understanding of much of the material.
[D] Some comprehension.
The final grade is the better of these two grades:
|