MAA 5932-0001 Functional Analysis

Welcome to Infinite Dimensions!

Meets MTWRF 2:00-3:20 pm 201 LOV

Prerequisite: Advanced Calculus or permission of the instructor. Resources

1. Your private gradebook
2. The slightly protected lessons directory
3. Free Textbook Kreyszig: Introductory Functional Analysis with Applications
   From previous classes:
4. Simple exercises Two new ones and with answers to the first one
5. The Zoo of spaces
   1. The Banach space C(K)
   2. The space of polynomials (lower case greek phi)
   3. The product space |R^oo (lower case greek omega)
6. A Review of Variations of Parameter
7. Newtons method and contractions
8. The contraction mapping theorem is used to prove the inverse function theorem.

• Recommended Texts:
  • Kolmogorov and Fomin, Functional Analysis, Vol1 Metric and Normed Spaces, it is the first half of this book
  • Griffel, Applied Functional Analysis

• The Summer 16 ad
• The Spectral Theory Fall 09 ad
• The Fall 05 ad