eBook ISBN: | 978-1-61444-212-7 |
Product Code: | DOL/16.E |
List Price: | $35.00 |
MAA Member Price: | $26.25 |
AMS Member Price: | $26.25 |
eBook ISBN: | 978-1-61444-212-7 |
Product Code: | DOL/16.E |
List Price: | $35.00 |
MAA Member Price: | $26.25 |
AMS Member Price: | $26.25 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 16; 1995; 333 pp
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebra—and today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students.
The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
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Table of Contents
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Chapters
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Chapter 1. Scalars
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Chapter 2. Vectors
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Chapter 3. Bases
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Chapter 4. Transformations
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Chapter 5. Duality
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Chapter 6. Similarity
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Chapter 7. Canonical Forms
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Chapter 8. Inner Product Spaces
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Chapter 9. Normality
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Reviews
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Indeed, the author offers original insights illuminating the essence of the associative and distributive laws and the underlying algebraic structures (groups, fields, vector spaces). The core of the book is, of course, the study of linear transformations on finite-dimensional spaces. The problems are intended for the beginner, but some of them may challenge even an expert.
Jaroslav Zemánek, Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebra—and today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students.
The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
-
Chapters
-
Chapter 1. Scalars
-
Chapter 2. Vectors
-
Chapter 3. Bases
-
Chapter 4. Transformations
-
Chapter 5. Duality
-
Chapter 6. Similarity
-
Chapter 7. Canonical Forms
-
Chapter 8. Inner Product Spaces
-
Chapter 9. Normality
-
Indeed, the author offers original insights illuminating the essence of the associative and distributive laws and the underlying algebraic structures (groups, fields, vector spaces). The core of the book is, of course, the study of linear transformations on finite-dimensional spaces. The problems are intended for the beginner, but some of them may challenge even an expert.
Jaroslav Zemánek, Mathematical Reviews