MATH 440 - Construction of the Real Number System

Institution:

Lincoln Memorial University

Subject:

Description:

(4 cr hrs) A construction of the real number system from axioms for the natural numbers. The concept of isomorphic mappings plays a central role. The reals are introduced through Cauchy sequences or Dedekind cuts in the rationals, as the text may require, and either approach is used to develop various wordings of the completeness property. Special topics such as finite cardinal numbers, summation notation, decimal representation, or complex numbers are treated when time allows. Prerequisite: MATH 231-232. Spring alternate years

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.lmunet.edu

Phone Number:

(423) 869-7089

Regional Accreditation:

Southern Association of Colleges and Schools

Calendar System:

Semester

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