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

 
9780387948485: Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics)

Synopsis

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.

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Using the proof of the nontrisectibility 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, on conveying mathematical insight to an audience that is as yet unaccustomed to abstraction. Familiarity with the material is developed by exposing the students to a large number of examples, and the text is peppered liberally with questions intended to encourage the students to think through the material themselves.

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  • PublisherSpringer
  • Publication date1996
  • ISBN 10 0387948481
  • ISBN 13 9780387948485
  • BindingHardcover
  • LanguageEnglish
  • Number of pages206

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9781475727029: Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics)

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