MATH 582 - Introduction to Set Theory
Section: 001
Term: WN 2018
Subject: Mathematics (MATH)
Department: LSA Mathematics
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#### Details

Credits:
3
Requirements & Distribution:
BS
Waitlist Capacity:
10
MATH 412 or 451 or equivalent experience with abstract mathematics.
BS:
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
Repeatability:
May not be repeated for credit.
Primary Instructor:

#### Description

One of the great discoveries of modern mathematics was that essentially every mathematical concept may be defined in terms of sets and membership. Thus Set Theory plays a special role as a foundation for the whole of mathematics. One of the goals of this course is to develop some understanding of how Set Theory plays this role. The analysis of common mathematical concepts (e.g., function, ordering, infinity) in set-theoretic terms leads to a deeper understanding of these concepts. At the same time, the student will be introduced to many new concepts (e.g., transfinite ordinal and cardinal numbers, the Axiom of Choice) which play a major role in many branches of mathematics. The development of Set Theory will be largely axiomatic with the emphasis on proving the main results from the axioms. Students should have substantial experience with theorem-proof mathematics; the listed prerequisites are minimal and stronger preparation is recommended. No course in mathematical logic is presupposed.

#### Schedule

MATH 582 - Introduction to Set Theory
Schedule Listing
001 (LEC)
P
19257
Closed
0

-
 MWF 11:00AM - 12:00PM 4096 EH

#### Textbooks/Other Materials

NOTE: Data maintained by department in Wolverine Access. If no textbooks are listed below, check with the department.

ISBN: 0821802666
Discovering modern set theory, Author: Winfried Just; Martin Weese, Publisher: American Math. Soc. Reprint. w 1998
Optional
Other Textbook Editions OK.
ISBN: 0122384407
Elements of set theory, Author: Herbert B. Enderton, Publisher: Academic Press [Nachdr.] 1996
Optional
Other Textbook Editions OK.
ISBN: 9780585243412
Introduction to set theory, Author: Hrbacek, Karel, 1944-, Publisher: M. Dekker 1999
Optional
Other Textbook Editions OK.

#### Syllabi

Syllabi are available to current LSA students. IMPORTANT: These syllabi are provided to give students a general idea about the courses, as offered by LSA departments and programs in prior academic terms. The syllabi do not necessarily reflect the assignments, sequence of course materials, and/or course expectations that the faculty and departments/programs have for these same courses in the current and/or future terms.

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