Rings, Fields, and Vector Spaces by Ba Sethuraman

Rings, Fields, and Vector Spaces by Ba Sethuraman

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 . .

SKU	Unavailable
ISBN 13	9780387948485
ISBN 10	0387948481
Title	Rings, Fields, and Vector Spaces
Author	Ba Sethuraman
Series	Undergraduate Texts In Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	Springer-Verlag New York Inc.
Year published	1996-11-26
Number of pages	192
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.