| 書目名稱 | Undergraduate Algebra | | 編輯 | Serge Lang | | 視頻video | http://file.papertrans.cn/942/941269/941269.mp4 | | 概述 | The author has also included a chapter on groups of matrices which is unique in a book at this level.He also includes Noah Snyder‘s beautiful proof of the Mason-Stothers polynomial abc theorem | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the linear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little overlap with the book Lin- ear Algebra, since I wanted to make the present book self contained. I define vector spaces, matrices, and linear maps and prove their basic properties. The present book could be used for a one-term course, or a year‘s course, possibly combining it with Linear Algebra. I think it is important to do the field theory and the Galois theory, more important, say, than to do much more group theory than we have done here. There is a chapter on finite fields, which exhibit both features from general field theory, and special features due to characteristic p. Such fields have be | | 出版日期 | Textbook 19902nd edition | | 關鍵詞 | Galois theory; Vector space; algebra; field; matrices; polynomial | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4757-6898-5 | | isbn_ebook | 978-1-4757-6898-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 1990 |
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