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Titlebook: Linear Algebra; W. H. Greub Book 19673rd edition Springer-Verlag Berlin Heidelberg 1967 Multilinear Algebra.algebra.field.linear algebra

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发表于 2025-3-21 16:13:04 | 显示全部楼层 |阅读模式
书目名称Linear Algebra
编辑W. H. Greub
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Linear Algebra; W. H. Greub Book 19673rd edition Springer-Verlag Berlin Heidelberg 1967 Multilinear Algebra.algebra.field.linear algebra
描述The major change between the second and third edition is the separation of linear and multilinear algebra into two different volumes as well as the incorporation of a great deal of new material. However, the essential character of the book remains the same; in other words, the entire presentation continues to be based on an axiomatic treatment of vector spaces. In this first volume the restriction to finite dimensional vector spaces has been eliminated except for those results which do not hold in the infinite dimensional case. The restriction of the coefficient field to the real and complex numbers has also been removed and except for chapters VII to XI, § 5 of chapter I and § 8, chapter IV we allow any coefficient field of characteristic zero. In fact, many of the theorems are valid for modules over a commutative ring. Finally, a large number of problems of different degree of difficulty has been added. Chapter I deals with the general properties of a vector space. The topology of a real vector space of finite dimension is axiomatically characterized in an additional paragraph.
出版日期Book 19673rd edition
关键词Multilinear Algebra; algebra; field; linear algebra
版次3
doihttps://doi.org/10.1007/978-3-662-00672-6
isbn_ebook978-3-662-00672-6Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1967
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书目名称Linear Algebra影响因子(影响力)




书目名称Linear Algebra影响因子(影响力)学科排名




书目名称Linear Algebra网络公开度




书目名称Linear Algebra网络公开度学科排名




书目名称Linear Algebra被引频次




书目名称Linear Algebra被引频次学科排名




书目名称Linear Algebra年度引用




书目名称Linear Algebra年度引用学科排名




书目名称Linear Algebra读者反馈




书目名称Linear Algebra读者反馈学科排名




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发表于 2025-3-21 20:17:25 | 显示全部楼层
Book 19673rd editioncorporation of a great deal of new material. However, the essential character of the book remains the same; in other words, the entire presentation continues to be based on an axiomatic treatment of vector spaces. In this first volume the restriction to finite dimensional vector spaces has been elim
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Polynomial algebra,imply a specialization of the more general results of Chapter XX, Vol. II and is included here so that the results of the following chapter will be accessible to the reader who has not read the volume on multilinear algebra.
Bouquet
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发表于 2025-3-22 19:30:21 | 显示全部楼层
W. H. Greubtolemy, as he is known in English, was the last great and dominating figure before the dawn of the renaissance of science during the years 1500–1700. During the lifespan of Ptolemy, arithmetical techniques were developed for calculating astronomical phenomena. Greek astronomers, e.g., Hipparchus, ha
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W. H. Greubtolemy, as he is known in English, was the last great and dominating figure before the dawn of the renaissance of science during the years 1500–1700. During the lifespan of Ptolemy, arithmetical techniques were developed for calculating astronomical phenomena. Greek astronomers, e.g., Hipparchus, ha
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