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A (Terse) Introduction to Linear Algebra

Yitzhak Katznelson Stanford University, Stanford, CA
Yonatan R. Katznelson University of California, Santa Cruz, Santa Cruz, CA
Available Formats:
Softcover ISBN: 978-0-8218-4419-9
Product Code: STML/44
215 pp
List Price: $41.00 Individual Price:$32.80
Electronic ISBN: 978-1-4704-1218-0
Product Code: STML/44.E
215 pp
List Price: $38.00 Individual Price:$30.40
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List Price: $61.50 Click above image for expanded view A (Terse) Introduction to Linear Algebra Yitzhak Katznelson Stanford University, Stanford, CA Yonatan R. Katznelson University of California, Santa Cruz, Santa Cruz, CA Available Formats:  Softcover ISBN: 978-0-8218-4419-9 Product Code: STML/44 215 pp  List Price:$41.00 Individual Price: $32.80  Electronic ISBN: 978-1-4704-1218-0 Product Code: STML/44.E 215 pp  List Price:$38.00 Individual Price: $30.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$61.50
• Book Details

Student Mathematical Library
Volume: 442008
MSC: Primary 15;

Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications.

A (Terse) Introduction to Linear Algebra is a concise presentation of the core material of the subject—those elements of linear algebra that every mathematician, and everyone who uses mathematics, should know. It goes from the notion of a finite-dimensional vector space to the canonical forms of linear operators and their matrices, and covers along the way such key topics as: systems of linear equations, linear operators and matrices, determinants, duality, and the spectral theory of operators on inner-product spaces.

The last chapter offers a selection of additional topics indicating directions in which the core material can be applied.

The Appendix provides all the relevant background material.

Written for students with some mathematical maturity and an interest in abstraction and formal reasoning, the book is self-contained and is appropriate for an advanced undergraduate course in linear algebra.

• Chapters
• Chapter 1. Vector spaces
• Chapter 2. Linear operators and matrices
• Chapter 3. Duality of vector spaces
• Chapter 4. Determinants
• Chapter 5. Invariant subspaces
• Chapter 6. Inner-product spaces
• Chapter 7. Structure theorems
• Appendix

• Reviews

• The self-contained, well-written work assumes mathematical maturity...It is a concise, thorough introduction to linear algebra.

CHOICE
• This little book is a pleasure to read... In short, there are many who can get a substantial amount out of this little book, and I am definitely glad to have read it...

MAA Reviews
• The book is written in an elegant, condensed way. It contains many exercises, mostly of theoretical character. The main advantage (in particular for teachers and talented students) is that basic ideas are carefully isolated and presented in a simple, minimal and understandable way.

• ...embodies a beautiful, concise and precise treatment of the subject as a part of general algebra. ... Students of pure mathematics will cherish this book as a wonderful, direct path through linear algebra in a general algebraic setting.

Zentralblatt MATH
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Volume: 442008
MSC: Primary 15;

Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications.

A (Terse) Introduction to Linear Algebra is a concise presentation of the core material of the subject—those elements of linear algebra that every mathematician, and everyone who uses mathematics, should know. It goes from the notion of a finite-dimensional vector space to the canonical forms of linear operators and their matrices, and covers along the way such key topics as: systems of linear equations, linear operators and matrices, determinants, duality, and the spectral theory of operators on inner-product spaces.

The last chapter offers a selection of additional topics indicating directions in which the core material can be applied.

The Appendix provides all the relevant background material.

Written for students with some mathematical maturity and an interest in abstraction and formal reasoning, the book is self-contained and is appropriate for an advanced undergraduate course in linear algebra.

• Chapters
• Chapter 1. Vector spaces
• Chapter 2. Linear operators and matrices
• Chapter 3. Duality of vector spaces
• Chapter 4. Determinants
• Chapter 5. Invariant subspaces
• Chapter 6. Inner-product spaces
• Chapter 7. Structure theorems
• Appendix
• The self-contained, well-written work assumes mathematical maturity...It is a concise, thorough introduction to linear algebra.

CHOICE
• This little book is a pleasure to read... In short, there are many who can get a substantial amount out of this little book, and I am definitely glad to have read it...

MAA Reviews
• The book is written in an elegant, condensed way. It contains many exercises, mostly of theoretical character. The main advantage (in particular for teachers and talented students) is that basic ideas are carefully isolated and presented in a simple, minimal and understandable way.