Lectures in Abstract Algebra : II. Linear Algebra / by Nathan Jacobson
(Graduate Texts in Mathematics ; 31)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1953 |
| 本文言語 | 英語 |
| 大きさ | XII, 280 p : online resource |
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| 内容注記 | I: Finite Dimensional Vector Spaces II Linear Transformations III: The Theory of a Single Linear Transformation IV: Sets of Linear Transformations V: Bilinear Forms VI: Euclidean and Unitary Spaces VII: Products of Vector SpaÇes VIII: The Ring of Linear Transformations IX: Infinite Dimensional Vector Spaces |
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| 一般注記 | The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text |
| 著者標目 | *Jacobson, Nathan author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Matrix theory LCSH:Algebra FREE:Mathematics FREE:Linear and Multilinear Algebras, Matrix Theory |
| 分 類 | DC23:512.5 |
| 巻冊次 | ISBN:9781468470536 
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| ISBN | 9781468470536 |
| URL | http://dx.doi.org/10.1007/978-1-4684-7053-6 |
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