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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
A (Terse) Introduction to Linear Algebra
Softcover ISBN:  978-0-8218-4419-9
Product Code:  STML/44
List Price: $59.00
Individual Price: $47.20
Sale Price: $38.35
eBook ISBN:  978-1-4704-1218-0
Product Code:  STML/44.E
List Price: $49.00
Individual Price: $39.20
Sale Price: $31.85
Softcover ISBN:  978-0-8218-4419-9
eBook: ISBN:  978-1-4704-1218-0
Product Code:  STML/44.B
List Price: $108.00 $83.50
Sale Price: $70.20 $54.28
A (Terse) Introduction to Linear Algebra
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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
Softcover ISBN:  978-0-8218-4419-9
Product Code:  STML/44
List Price: $59.00
Individual Price: $47.20
Sale Price: $38.35
eBook ISBN:  978-1-4704-1218-0
Product Code:  STML/44.E
List Price: $49.00
Individual Price: $39.20
Sale Price: $31.85
Softcover ISBN:  978-0-8218-4419-9
eBook ISBN:  978-1-4704-1218-0
Product Code:  STML/44.B
List Price: $108.00 $83.50
Sale Price: $70.20 $54.28
  • Book Details
     
     
    Student Mathematical Library
    Volume: 442008; 215 pp
    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.

    Readership

    Undergraduate 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. Inner-product spaces
    • Chapter 7. Structure theorems
    • Chapter 8. Additional topics
    • 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.

      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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 442008; 215 pp
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.

Readership

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. Inner-product spaces
  • Chapter 7. Structure theorems
  • Chapter 8. Additional topics
  • 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.

    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
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.