Bridge to abstract mathematics /

Vorth, Ralph W. Oberste

Bridge to abstract mathematics / Ralph W. Oberste-Vorth, Aristides Mouzakitis and Bonita A. Lawrence - Washington : Mathematical Association of America, ©2012. - xix, 232 p.: ill.; 26 cm.

I THE AXIOMATIC METHOD II SET THEORY III NUMBER SYSTEMS Multiplication of Rationals

Of the Properties of the Nonnegative IntegersThe Integers -- Introduction: Integers as Equivalence Classes -- A Total Ordering of the Integers -- Addition of Integers -- Multiplication of Integers -- Embedding the Natural Numbers in the Integers -- Supplemental Exercises -- Summary of the Properties of the Integers -- The Rational Numbers -- Introduction: Rationals as Equivalence Classes -- A Total Ordering of the Rationals -- Addition of Rationals -- Multiplication of Rationals -- An Ordered Field Containing the Integers

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511.3 / VOR