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Problems and Theorems in Linear Algebra
 
V. V. Prasolov , Moscow, Russia
Front Cover for Problems and Theorems in Linear Algebra
Available Formats:
Softcover ISBN: 978-0-8218-0236-6
Product Code: MMONO/134
225 pp 
List Price: $90.00
MAA Member Price: $81.00
AMS Member Price: $72.00
Electronic ISBN: 978-1-4704-4542-3
Product Code: MMONO/134.E
225 pp 
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
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: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Front Cover for Problems and Theorems in Linear Algebra
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  • Front Cover for Problems and Theorems in Linear Algebra
  • Back Cover for Problems and Theorems in Linear Algebra
Problems and Theorems in Linear Algebra
V. V. Prasolov , Moscow, Russia
Available Formats:
Softcover ISBN:  978-0-8218-0236-6
Product Code:  MMONO/134
225 pp 
List Price: $90.00
MAA Member Price: $81.00
AMS Member Price: $72.00
Electronic ISBN:  978-1-4704-4542-3
Product Code:  MMONO/134.E
225 pp 
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
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: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1341994
    MSC: Primary 15;

    There are a number of very good books available on linear algebra. From this one might deduce that the existing books contain all that one needs to know in the best possible form and that any new book would just repeat material in the old ones. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many linear algebra results obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, Prasolov provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It would be a fine supplementary text for an undergraduate or graduate algebra course.

    Readership

    Undergraduates, graduates and researchers in mathematics and physics.

  • Table of Contents
     
     
    • Chapters
    • Chapter I. Determinants
    • Chapter II. Linear spaces
    • Chapter III. Canonical forms of matrices and linear operators
    • Chapter IV. Matrices of special form
    • Chapter V. Multilinear algebra
    • Chapter VI. Matrix inequalities
    • Chapter VII. Matrices in algebra and calculus
  • Reviews
     
     
    • The exposition contains quite a few refreshing applications … It is amazing that a book which covers all this incredibly rich material is only 221 pages long. One of the reasons why this is possible is that the best proofs are carefully selected from the existing literature. The proofs are short, complete, and precise. Whenever possible, the author uses an invariant, coordinate-free approach. This is a very nice book.

      Mathematical Reviews
  • Request Review Copy
  • Get Permissions
Volume: 1341994
MSC: Primary 15;

There are a number of very good books available on linear algebra. From this one might deduce that the existing books contain all that one needs to know in the best possible form and that any new book would just repeat material in the old ones. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many linear algebra results obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, Prasolov provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It would be a fine supplementary text for an undergraduate or graduate algebra course.

Readership

Undergraduates, graduates and researchers in mathematics and physics.

  • Chapters
  • Chapter I. Determinants
  • Chapter II. Linear spaces
  • Chapter III. Canonical forms of matrices and linear operators
  • Chapter IV. Matrices of special form
  • Chapter V. Multilinear algebra
  • Chapter VI. Matrix inequalities
  • Chapter VII. Matrices in algebra and calculus
  • The exposition contains quite a few refreshing applications … It is amazing that a book which covers all this incredibly rich material is only 221 pages long. One of the reasons why this is possible is that the best proofs are carefully selected from the existing literature. The proofs are short, complete, and precise. Whenever possible, the author uses an invariant, coordinate-free approach. This is a very nice book.

    Mathematical Reviews
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