MATH241

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MATH241

Set Theory MATH241 FA

Next Offered in 9899 FA

This work begins the study of "Infinite numbers", encountered in almost every branch of higher mathematics. These measure the size of infinite sets. An interesting question is: How many of these represent sizes of sets of real numbers? There are at least 2, but the full answer is not known, even today. Some wonders of their arithmetic: m + m = m ; m . m = m. Other related topics: The Axiom of Choice, ordinal numbers.

MAJOR READINGS

Kaplansky, SET THEORY AND METRIC SPACES,
Chelsea Publishing Company

EXAMINATIONS AND ASSIGNMENTS

Several homework assignments and a final examination.

ADDITIONAL REQUIREMENTS and/or COMMENTS

This course should help develop the "mathematical maturity and sophistication" that is often spoken of. Students not meeting the course prerequisites may be admitted by permission of the instructor.

COURSE FORMAT: Discussion Lecture

REGISTRATION INFORMATION

Level: UG Credit: 1.00 Gen Ed Area & Dept: NSM MATH

Prerequisites: MATH121 and MATH122 or MATH125

Last Updated on MAR-03-1998

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