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Problems and Theorems in Linear Algebra
 
V. V. Prasolov , Moscow, Russia
Problems and Theorems in Linear Algebra
Softcover ISBN:  978-0-8218-0236-6
Product Code:  MMONO/134
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4542-3
Product Code:  MMONO/134.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Softcover ISBN:  978-0-8218-0236-6
eBook: ISBN:  978-1-4704-4542-3
Product Code:  MMONO/134.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Problems and Theorems in Linear Algebra
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Problems and Theorems in Linear Algebra
V. V. Prasolov , Moscow, Russia
Softcover ISBN:  978-0-8218-0236-6
Product Code:  MMONO/134
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4542-3
Product Code:  MMONO/134.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Softcover ISBN:  978-0-8218-0236-6
eBook ISBN:  978-1-4704-4542-3
Product Code:  MMONO/134.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1341994; 225 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1341994; 225 pp
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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