| 书目名称 | Linear Algebra and Geometry | | 编辑 | Igor R. Shafarevich,Alexey O. Remizov | | 视频video | | | 概述 | Clearly written and easy to read.Contains also rather deep and not trivial subjects and theorems and can also be useful for professionals.Good introduction to the subject.Numerous examples and applica | | 图书封面 |  | | 描述 | .This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.. | | 出版日期 | Textbook 2013 | | 关键词 | groups, rings, modules; linear algerba; matrix; projective space; vector space; matrix theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-30994-6 | | isbn_softcover | 978-3-642-43409-9 | | isbn_ebook | 978-3-642-30994-6 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 17:23:56
