**Section:**001

**Term:**WN 2018

**Subject:**Mathematics (MATH)

**Department:**LSA Mathematics

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.

** For more information on this course, please visit the Department of Mathematics webpage **

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

**ISBN: 0821802666**

**Optional**

**ISBN: 0122384407**

**Optional**

**ISBN: 9780585243412**

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**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.

*Click the button below to view historical syllabi for MATH 582 (UM login required)*

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