Linear Algebra

Helps students to master the material of a standard undergraduate linear algebra course. The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.

**Tag(s):**
Linear Algebra

**Publication date**: 26 Apr 2020

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
525 pages

**Views**: 21,376

**Type**: Textbook

**Publisher**:
Orthogonal Publishing L3C

**License**:
Creative Commons Attribution-ShareAlike 2.5 Generic

**Post time**: 15 Aug 2006 10:24:53

Linear Algebra

Helps students to master the material of a standard undergraduate linear algebra course. The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.

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Adapt — remix, transform, and build upon the material for any purpose, even commercially.

The licensor cannot revoke these freedoms as long as you follow the license terms.

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

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

The licensor cannot revoke these freedoms as long as you follow the license terms.

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Book Excerpts:

This book helps students to master the material of a standard undergraduate linear algebra course.

The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. The audience is also standard: sophmores or juniors, usually with a background of at least one semester of Calculus and perhaps with as much as three semesters.

The help that it gives to students comes from taking a developmental approach - this book's presentation emphasizes motivation and naturalness, driven home by a wide variety of examples and extensive, careful, exercises. The developmental approach is what sets this book apart, so some expansion of the term is appropriate here.

The aim of this book's exposition is to help students develop from being successful at their present level, in classes where a majority of the members are interested mainly in applications in science or engineering, to being successful at the next level, that of serious students of the subject of mathematics itself.

Helping students make this transition means taking the mathematics seriously, so all of the results in this book are proved. On the other hand, this book cannot assume that students have already arrived, and so in contrast with more abstract texts, this book gives many examples and they are often quite detailed.

Review(s):

The Assayer:

:) "Many of the homework problems relate directly to these real-life applications. This is in welcome contrast to the usual, dreary set of "drill and kill" problems without any real context. The drudgery is also reduced by the explicit introduction of computer algebra systems in the first chapter. Many of the problems explicitly state that they are to be solved on a computer, and the assumption that the students will use computers has also allowed Hefferon to include many realistic problems that result in larger matrices than could be handled by hand."

Jim Hefferon wrote:This text is Free. Use it under either the GNU Free Documentation License or the Creative Commons Attribution-ShareAlike 2.5 License, at your discretion.

Note to bookstores: in particular, instructors have permission to make copies of this material, either electronic or paper, and sell those copies to students. Many schools use this text in this way. If you have further questions, please feel free to contact me.

Book Excerpts:

This book helps students to master the material of a standard undergraduate linear algebra course.

The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. The audience is also standard: sophmores or juniors, usually with a background of at least one semester of Calculus and perhaps with as much as three semesters.

The help that it gives to students comes from taking a developmental approach - this book's presentation emphasizes motivation and naturalness, driven home by a wide variety of examples and extensive, careful, exercises. The developmental approach is what sets this book apart, so some expansion of the term is appropriate here.

The aim of this book's exposition is to help students develop from being successful at their present level, in classes where a majority of the members are interested mainly in applications in science or engineering, to being successful at the next level, that of serious students of the subject of mathematics itself.

Helping students make this transition means taking the mathematics seriously, so all of the results in this book are proved. On the other hand, this book cannot assume that students have already arrived, and so in contrast with more abstract texts, this book gives many examples and they are often quite detailed.

Review(s):

The Assayer:

:) "Many of the homework problems relate directly to these real-life applications. This is in welcome contrast to the usual, dreary set of "drill and kill" problems without any real context. The drudgery is also reduced by the explicit introduction of computer algebra systems in the first chapter. Many of the problems explicitly state that they are to be solved on a computer, and the assumption that the students will use computers has also allowed Hefferon to include many realistic problems that result in larger matrices than could be handled by hand."

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About The Author(s)

Jim Hefferon is Professor of Mathematics in the Mathematics Department at Saint Michael's College, Colchester, Vermont USA.

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