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MATH 6360 FALL 1999
COURSE INFORMATION
Instructor: Prof. S. Canic
Room 620, PGH
Phone 743-3466 e-mail canic@math.uh.edu
Course Number: MATH 6360 Section 08313
Time: Tu-Th 10-11:30 Room 203 AH
Text:
- 1.
- N. Kolmogorov and S. V. Fomin,
Introductory Real Analysis,
Dover, New York, 1975. (At bookstore)
- 2.
- Charles W. Groetsch,
Elements of Applicable Functional Analysis,
Dekker, New York, 1980,
(Reserve Section of Library).
Background References:
- 1.
- R. Creighton Buck,
Advanced Calculus,
McGraw-Hill, New York, 1978.
- 2.
- M. H. Protter and C. B. Morrey,
A First Course in Real Analysis,
Springer-Verlag, New York, 1977.
(Library, QA 300 .P968).
- 3.
- W. Rudin,
Principles of Mathematical Analysis,
McGraw-Hill, New York, 1964.
Topics:
- 1.
- Metric spaces: convergence, completeness and compactness. The
Arzelà - Ascoli theorem and applications to differential equations
and the calculus of variations.
- 2.
- The contraction mapping principle: inverse and implicit function
theorems; applications in differential and integral equations.
- 3.
- Linear spaces: Banach and Hilbert spaces; linear operators; the
Reisz representation; the Hahn-Banach theorem; compact operators.
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Suncica Canic
1999-08-19