This textbook is designed to college sophomores and juniors the basics of linear algebra and the techniques of formal mathematics. There are no prerequisites other than ordinary algebra. The text has two goals: to teach the fundamental concepts and techniques of matrix algebra and abstract vector spaces, and to teach the techniques associated with understanding the definitions and theorems forming a coherent area of mathematics. There is an emphasis on worked examples and on proving theorems carefully. Contents: 1) Systems of Linear Equations. 2) Vectors. 3) Matrices. 4) VS Vector Spaces. 5) Determinants. 6) Linear Transformations. 7) Representations.
This textbook is designed to college sophomores and juniors the basics of linear algebra and the techniques of formal mathematics. There are no prerequisites other than ordinary algebra. The text has two goals: to teach the fundamental concepts and techniques of matrix algebra and abstract vector spaces, and to teach the techniques associated with understanding the definitions and theorems forming a coherent area of mathematics. There is an emphasis on worked examples and on proving theorems carefully. Contents: 1) Systems of Linear Equations. 2) Vectors. 3) Matrices. 4) VS Vector Spaces. 5) Determinants. 6) Linear Transformations. 7) Representations.
undefinedThe text itself is well-written. Each chapter begins with a brief synopsis which nicely captures the heart of the chapter, and there are enough boldface headings and vocabulary to keep the...
Suitable for advanced undergraduates and graduate students, this text offers a complete introduction to the basic concepts of linear algebra. Interesting and inspiring in its approach, it imparts an...
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of...
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