eBook ISBN:  9781614442127 
Product Code:  DOL/16.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781614442127 
Product Code:  DOL/16.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 

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.

Table of Contents

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


Reviews

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 finitedimensional 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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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 finitedimensional spaces. The problems are intended for the beginner, but some of them may challenge even an expert.
Jaroslav Zemánek, Mathematical Reviews