Linear Algebra (The Sally Series: Pure and Applied Undergraduate Texts, 57) - Softcover

Meighan I. Dillon

Softcover

ISBN 10: 1470469863 ISBN 13: 9781470469863

Publisher: American Mathematical Society, 2022

Synopsis

This textbook is directed towards students who are familiar with matrices and their use in solving systems of linear equations. The emphasis is on the algebra supporting the ideas that make linear algebra so important, both in theoretical and practical applications. The narrative is written to bring along students who may be new to the level of abstraction essential to a working understanding of linear algebra. The determinant is used throughout, placed in some historical perspective, and defined several different ways, including in the context of exterior algebras. The text details proof of the existence of a basis for an arbitrary vector space and addresses vector spaces over arbitrary fields. It develops LU-factorization, Jordan canonical form, and real and complex inner product spaces. It includes examples of inner product spaces of continuous complex functions on a real interval, as well as the background material that students may need in order to follow those discussions. Special classes of matrices make an entrance early in the text and subsequently appear throughout. The last chapter of the book introduces the classical groups.

About this title

About the Author

Meighan I. Dillon, Kennesaw State University, Marietta, GA

Edition details

• Publisher: American Mathematical Society
• Publication date: 2022
• Language: English
• ISBN 10: 1470469863
• ISBN 13: 9781470469863
• Binding: Paperback
• Number of pages: 367