An Introduction to Abstract Algebra via Geometric Constructibility /
نام نخستين پديدآور
by B. A. Sethuraman.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York, NY :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
1997.
فروست
عنوان فروست
Undergraduate Texts in Mathematics,
شاپا ي ISSN فروست
0172-6056
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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 . .
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781475727029
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebra.
موضوع مستند نشده
Mathematics.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )