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OverviewThis 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. Full Product DetailsAuthor: Meighan I. DillonPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.272kg ISBN: 9781470469863ISBN 10: 1470469863 Pages: 367 Publication Date: 30 January 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Vector spaces Linear transformations and subspaces Matrices and coordinates Systems of linear equations Introductions The determinant is a multilinear mapping Inner product spaces The life of a linear operator Similarity $GL_n(\mathbb{F})$ and friends Background review $\mathbb{R}^2$ and $\mathbb{R}^3$ More set theory Infinite dimension Bibliography IndexReviewsAuthor InformationMeighan I. Dillon, Kennesaw State University, Marietta, GA. Tab Content 6Author Website:Countries AvailableAll regions |
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