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Titlebook: Undergraduate Algebra; Serge Lang Textbook 19871st edition Springer Science+Business Media New York 1987 Galois theory.Permutation.algebra

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發(fā)表于 2025-3-21 19:33:42 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Undergraduate Algebra
編輯Serge Lang
視頻videohttp://file.papertrans.cn/942/941268/941268.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Titlebook: Undergraduate Algebra;  Serge Lang Textbook 19871st edition Springer Science+Business Media New York 1987 Galois theory.Permutation.algebra
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 19871st edition
關(guān)鍵詞Galois theory; Permutation; algebra; automorphism; field; homomorphism; linear algebra; matrices
版次1
doihttps://doi.org/10.1007/978-1-4684-9234-7
isbn_ebook978-1-4684-9234-7Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1987
The information of publication is updating

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Serge Langous medium, from those exhibited by its individual constituents at the microscopic level. Within this context, a specific attention is paid to the possibility of adopting an effective stress formulation. While the case of a purely cohesive solid matrix provides the first illustrative example where t
板凳
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Serge Lang the shape of pores is not always round and distorted so that the stress concentration takes place easily, which causes to weaken the strength of those materials. In addition, the overall uniformity of the pore size and the porosity is very crucial which may affect the stress concentration; some loc
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Serge Langhese composites by the incorporation of high aspect ratio nanofibers/tubes is challenging due to the difficulty and expense of efficiently dispersing the reinforcing elements in the desired matrix. Here, we present a method to fabricate preformed, porous fiber networks that can be infiltrated by the
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Serge Langnsiveness was based on the following considerations. A 5+ rating means that the tumor can be destroyed by a dose of light that will cause only mild erythema and slight edema; a 3+ rating indicates that a moderate amount of skin damage may be expected from the minimum dose of light required to destro
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