Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics)

Sethuraman, B.A.

ISBN 10: 0387948481 / ISBN 13: 9780387948485

Editore: Springer, 1996

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Titolo: Rings, Fields, and Vector Spaces: An ...

Casa editrice: Springer

Data di pubblicazione: 1996

Legatura: Hardcover

Condizione: Good

Descrizione articolo

Riassunto:

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.

Contenuti:

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.