Softcover ISBN:  9780821844199 
Product Code:  STML/44 
List Price:  $41.00 
Individual Price:  $32.80 
Electronic ISBN:  9781470412180 
Product Code:  STML/44.E 
List Price:  $38.00 
Individual Price:  $30.40 

Book DetailsStudent Mathematical LibraryVolume: 44; 2008; 215 ppMSC: 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 finitedimensional 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 innerproduct 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 selfcontained and is appropriate for an advanced undergraduate course in linear algebra.ReadershipUndergraduate and graduate students interested in linear algebra.

Table of Contents

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. Innerproduct spaces

Chapter 7. Structure theorems

Chapter 8. Additional topics

Appendix


Additional Material

Reviews

The selfcontained, wellwritten 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.
European Mathematical Society Newsletter 
...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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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 finitedimensional 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 innerproduct 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 selfcontained and is appropriate for an advanced undergraduate course in linear algebra.
Undergraduate and graduate students interested 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. Innerproduct spaces

Chapter 7. Structure theorems

Chapter 8. Additional topics

Appendix

The selfcontained, wellwritten 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.
European Mathematical Society Newsletter 
...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