Rings, fields, and vector spaces : an introduction to abstract algebra via geometric constructibility
Author(s)
Bibliographic Information
Rings, fields, and vector spaces : an introduction to abstract algebra via geometric constructibility
(Undergraduate texts in mathematics)
Springer, c1997
Available at 47 libraries
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.
Table of Contents
1 Divisibility in the Integers.- 2 Rings and Fields.- 3 Vector Spaces.- 4 Field Extensions.- 5 Polynomials.- 6 The Field Generated by an Element.- 7 Straightedge and Compass Constructions.- References.
by "Nielsen BookData"