书目名称 | Linear Algebra |
编辑 | Werner H. Greub |
视频video | http://file.papertrans.cn/587/586246/586246.mp4 |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | Besides the very obvious change from German to English, the second edition of this book contains many additions as weil as a great many other changes. It might even be called a new book altogether were it not for the fact that the essential character of the book has remained the same; in other words, the entire presentation continues to be based on an axiomatic treatment of linear spaces. In this second edition, the thorough-going restriction to linear spaces of finite dimension has been removed. Another complete change is the restriction to linear spaces with real or complex coefficients, thereby removing a number of relatively involved discussions which did not really contribute substantially to the subject. On p.6 there is a list of those chapters in which the presentation can be transferred directly to spaces over an arbitrary coefficient field. Chapter I deals with the general properties of a linear space. Those concepts which are only valid for finitely many dimensions are discussed in a special paragraph. Chapter 11 now covers only linear transformations while the treat ment of matrices has been delegated to a new chapter, chapter 111. The discussion of dual spaces has been |
出版日期 | Conference proceedings 19632nd edition |
关键词 | algebra; field; linear algebra; matrices; transformation |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-662-01545-2 |
isbn_ebook | 978-3-662-01545-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer-Verlag Berlin Heidelberg 1963 |