Fundamentals of linear algebra

By: Carrell, James BMaterial type: TextTextLanguage: English Publication details: USA: Cambridge University Press, 2005Description: 473 pages; 27 cmSubject(s): Algebras, Linear | Matrices | Đại số tuyến tính | Ma trận | Toán họcDDC classification: 512.5 Summary: This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics. Linear algebra is one of the most applicable areas of athematics. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. This book is directed more at the former audience than the latter, but it is hoped that the writing is sufficiently clear with enough detail so that the anyone reading the text can understand it. While the book is written in an informal style and has many elementary examples, the propositions and theorems are generally carefully proved, and the interested student will certainly be able to experience the theorem-proof style of text. We have throughout tried very hard to emphasize the fascinating and important interplay between algebra and geometry. The exercises are also intended to emphasize this aspect. Some of them are very easy, some are medium hard and a few are quite challenging . The hope is that the student will find them to be stimulating and a reason to think deeply about the material.
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Includes bibliographical references and index.

This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics.
Linear algebra is one of the most applicable areas of athematics. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. This book is directed more at the former audience than the latter, but it is hoped that the writing is sufficiently clear with enough detail so that the anyone reading the text can understand it. While the book is written in an informal style and has many elementary examples, the propositions and theorems are generally carefully proved, and the interested student will certainly be able to experience the theorem-proof style of text.
We have throughout tried very hard to emphasize the fascinating and important interplay between algebra and geometry. The exercises are also intended to emphasize this aspect. Some of them are very easy, some are medium hard and a few are quite challenging . The hope is that the student will find them to be stimulating and a reason to think deeply about the material.

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