Math 172: Measure Theory and Fourier Transforms

World Wide Web: http://www.math.stanford.edu:/~ryzhik
TTh 2:15PM - 3:30PM 380-381U.

Instructor: Lenya Ryzhik

  • Office: 380-383Y
  • Office Hours: W 2:30-4:00PM and by appointment.
  • Office Phone: 650-721-2113
  • e-mail: ryzhik@math.stanford.edu

    • Course Assistant: Frederick Tsz-Ho Fong

  • Office: 380-380F
  • Office Hours: M 5-6, T 3:30-6:30, W 5-6 and by appointment
  • e-mail: thphong"at"stanford.edu.

    • Course Structure:

  • Textbook: H. Royden and P. Fitzpatrick "Real Analysis"
  • There will be one midterm and a final. Homeworks will be due weekly.

    • Homeworks:

    Homework 1 (Due Thursday April 8)

  • Read Royden Chapter 1 and Chapter 2.1-2.5
  • Exercises for Chapter 1 35, 37, 56. Chapter II 3, 6, 7, 10, 14.
  • Scanned pages from Royden for Homework 1
  • Solutions for Homework 1

    Homework 2 (Due Thursday April 15)

  • Read Royden Chapter 2
  • Exercises for Chapter 2: 17, 19, 20, 25, 27, 33.
  • Problems from class.

    Homework 3 (Due Thursday April 22)

  • Read Royden Chapter 2 and 3.1-3.2
  • Exercises for Chapter 2: 34, 38, 39, 40, 41, 42, 44, 46, 47.

    Homework 4 (Due Thursday April 29)

  • Read Royden Chapter 3
  • Exercises for Chapter 3: 5, 9, 11, 15, 17, 22, 28, 31.

    Homework 5 (Due Thursday May 6)

  • Read Royden Chapter 4
  • Exercises for Chapter 4: 5, 7, 8, 9, 17, 20, 24, 32, 34.

    Homework 6 (Due Thursday May 20)

  • Read Royden Chapters 5-6
  • Exercises for Chapter 6: 1, 2, 7, 10, 15, 25, 29, 33, 37, 41.

    Homework 7(Due Tuesday June 1)

  • Read Royden and the class notes
  • Exercises for Chapter 7: 3, 12, 14, 15, 18, 30-31, 32-33, 44, 48-49.

  • Midterm solutions