A First Course in Linear Algebra (Version 3.50)

An introductory textbook of linear algebra. Teaches the fundamental concepts and techniques of matrix algebra and abstract vector spaces.

**Tag(s):**
Linear Algebra

**Publication date**: 04 Nov 2016

**ISBN-10**:
0984417559

**ISBN-13**:
9780984417551

**Paperback**:
807 pages

**Views**: 39,213

**Type**: Textbook

**Publisher**:
Congruent Press

**License**:
GNU Free Documentation License Version 1.2

**Post time**: 04 Aug 2006 10:22:58

A First Course in Linear Algebra (Version 3.50)

An introductory textbook of linear algebra. Teaches the fundamental concepts and techniques of matrix algebra and abstract vector spaces.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

Click**here** to read the full license.

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Terms and Conditions:

Book Excerpts:

Robert A. Beezer wrote:Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with the Invariant Sections being 'Preface', no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".

Book Excerpts:

Robert A. Beezer wrote:This textbook is designed to teach the university mathematics student the basics of the subject of linear algebra. There are no prerequisites other than ordinary algebra, but it is probably best used by a student who has the 'mathematical maturity' of a sophomore or junior.

The text has two goals: to teach the fundamental concepts and techniques of matrix algebra and abstract vector spaces, and to teach the techniques associated with understanding the definitions and theorems forming a coherent area of mathematics. So there is an emphasis on worked examples of nontrivial size and on proving theorems carefully.

The first half of this text is basically a course in matrix algebra, though the foundation of some more advanced ideas is also being formed in these early sections. Vectors are presented exclusively as column vectors, and linear combinations are presented very early. Spans, null spaces and column spaces are also presented early, simply as sets, saving most of their vector space properties for later, so they are familiar objects before being scrutinized carefully.

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About The Author(s)

Robert A. Beezer is a Professor of Mathematics at the University of Puget Sound, where he has been on the faculty since 1984. In addition to his teaching at the University of Puget Sound, he has made sabbatical visits to the University of the West Indies (Trinidad campus) and the University of Western Australia. He has also given several courses in the Master’s program at the African Institute for Mathematical Sciences, South Africa. He has been a Sage developer since 2008. He teaches calculus, linear algebra and abstract algebra regularly, while his research interests include the applications of linear algebra to graph theory.

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