| 書目名稱 | Rings, Fields, and Vector Spaces | | 副標(biāo)題 | An Introduction to A | | 編輯 | B. A. Sethuraman | | 視頻video | http://file.papertrans.cn/831/830426/830426.mp4 | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | 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 i | | 出版日期 | Textbook 1997 | | 關(guān)鍵詞 | Abstract algebra; Microsoft Access; Vector space; algebra; boundary element method; construction; field; ma | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-2700-5 | | isbn_ebook | 978-1-4757-2700-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York 1997 |
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