Rings, Fields, and Vector Spaces

An Introduction to Abstract Algebra via Geometric Constructibility

B.A. Sethuraman (Autor)

Buch | Softcover

192 Seiten

1997 | Softcover reprint of the original 1st ed. 1997
Springer-Verlag New York Inc.
978-1-4757-2702-9 (ISBN)

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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.

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.

Erscheinungsdatum	19.12.2018
Reihe/Serie	Undergraduate Texts in Mathematics
Zusatzinfo	XIV, 192 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	abstract algebra • Algebra • Boundary element method • Construction • Field • Mathematics • Microsoft Access • polynomial • Proof • SET • Time • University • Vector Space
ISBN-10	1-4757-2702-X / 147572702X
ISBN-13	978-1-4757-2702-9 / 9781475727029
Zustand	Neuware