Rings, fields, and vector spaces : an introduction to abstract algebra via geometric constructibility

Author(s)

• Sethuraman, B. A.

Bibliographic Information

Rings, fields, and vector spaces : an introduction to abstract algebra via geometric constructibility

B.A. Sethuraman

（Undergraduate texts in mathematics）

Springer, c1997

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"

Details

• NCID: BA29316134
• ISBN:
  • 0387948481
• LCCN: 96032220
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xiii, 190 p.
• Size: 24 cm
• Classification:
  • NDC9 : 411.6
  • NDC7 : 411
  • LCC : QA162
  • DC20 : 512/.02
  • NDLC : MA61
• Subject Headings:
  • LCSH : Algebra, Abstract
• Parent Bibliography ID:
  • BA00018418