Rings, fields, and vector spaces : an introduction to abstract algebra via geometric constructibility
著者
書誌事項
Rings, fields, and vector spaces : an introduction to abstract algebra via geometric constructibility
（Undergraduate texts in mathematics）
Springer, c1997
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
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