PREREQUISITE:
MATH 4320: ADVANCED CALCULUS II
HOURS: TTh 5:30-6:45 pm, Dravo 656
INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo Bldg) 644. Phone: 556-8102.
Office hours: Wed 2-6pm, or by appointment
WWW: http://www-math.cudenver.edu/~aknyazev
Students are welcome to communicate with each other and the teacher
on-line using the Web page
http://www-math.cudenver.edu/~aknyazev/teaching/98/5070/comments
TEXTBOOKs:
1. Principles of Mathematical Analysis, Walter Rudin, McGraw-Hill,
INC., New York (required)
This is a traditional text, used many times for the course in the Department.
2. Elementary Real and Complex Analysis, G.E. Shilov, Dover Publications,
INC., New York, $12.95 (optional)
This text was used twice by the instructor before. It provides more
details and gives better understaning at the end. There are very nice and
hard problems in the book. Some students disliked it, though.
3. Real Analysis,
Bert G. Wachsmuth, at http://www.shu.edu/projects/reals/
This text is not available as a hard copy, but it is free on the Net.
It defines real numbers differently from the first two. Very good for beginners,
has color pictures and JAVA applications.
SUBJECT:
Introduction to real analysis, fundamentals of logic and theorem prooving.
CONTENTS:
The class will follow the outline below, touching on each major topic
in a depth that will be determined by the pace of the class. Subject to
change with notification.