Rings, Fields, and Vector Spaces
An Introduction to Abstract Algebra via Geometric Constructibility
Seiten
1997
|
Softcover reprint of the original 1st ed. 1997
Springer-Verlag New York Inc.
978-1-4757-2702-9 (ISBN)
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 |
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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 |
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