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Undergraduate Texts in Mathematics

Rings, Fields, and Vector Spaces

An Introduction to Abstract Algebra via Geometric Constructibility

Authors: Sethuraman, Bharath

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About this Textbook

This book is an attempt to communicate to undergraduate math­ ematics majors my enjoyment of abstract algebra. It grew out of a course offered at California State University, Northridge, in our teacher preparation program, titled Foundations of Algebra, that was intended to provide an advanced perspective on high-school mathe­ matics. When I first prepared to teach this course, I needed to select a set of topics to cover. The material that I selected would clearly have to have some bearing on school-level mathematics, but at the same time would have to be substantial enough for a university-level course. It would have to be something that would give the students a perspective into abstract mathematics, a feel for the conceptual elegance and grand simplifications brought about by the study of structure. It would have to be of a kind that would enable the stu­ dents to develop their creative powers and their reasoning abilities. And of course, it would all have to fit into a sixteen-week semester. The choice to me was clear: we should study constructibility. The mathematics that leads to the proof of the nontrisectibility of an arbitrary angle is beautiful, it is accessible, and it is worthwhile. Every teacher of mathematics would profit from knowing it. Now that I had decided on the topic, I had to decide on how to develop it. All the students in my course had taken an earlier course . .

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-1-4757-2700-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA in USD
  • ISBN 978-0-387-94848-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Rings, Fields, and Vector Spaces
Book Subtitle
An Introduction to Abstract Algebra via Geometric Constructibility
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-2700-5
DOI
10.1007/978-1-4757-2700-5
Hardcover ISBN
978-0-387-94848-5
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XIV, 192
Topics

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