- Tapa dura: 212 páginas
- Editor: Springer; Edición: 1997 (26 de noviembre de 1996)
- Colección: Undergraduate Texts in Mathematics
- Idioma: Inglés
- ISBN-10: 0387948481
- ISBN-13: 978-0387948485
- Valoración media de los clientes: Sé el primero en opinar sobre este producto
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Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics) (Inglés) Tapa dura – 26 nov 1996
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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.
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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Next, I found the book to be a valuable supplement to Algebra: Abstract and Concrete by Frederick M. Goodman, used in my Elementary Modern Algebra course. The explanations of rings and fields were excellent, but beyond this is a book replete with examples. When first discovering abstract algebra, one can never have too many examples!
This book is a beautiful combination of close attention to details, without being pedantic, as well as a broad overview of abstract algebra. I highly recommend it for all beginning math majors and aspiring math teachers!
"Rings, Fields, and Vector Spaces" is a detailed book so much that I found myself lost while following proofs. This book is also outdated and is sold as quick-xeroxed copies at the bookstore of California State University Northridge for the price of about $12. I would recommend the newest edition along with "Introduction to Abstract Algebra" by Neal H. McCoy.