Johnston, Nathaniel

Advanced Linear and Matrix Algebra

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ISBN 13:: 9783030528140
author:: Johnston, Nathaniel
format:: Hardback
publisher:: Springer Nature Switzerland AG
language:: English
Publication Year:: 2020
Pages:: 497
Dimensions:: 25.9 x 19.6 x 3.1 centimetres (1
Genre:: Science, Mathematics, Algebra,
Condition:: New
Availability:: Item usually sent within 4 working days

£51.42

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Description

Description

Advanced Linear and Matrix Algebra provides a comprehensive introduction to the fundamental concepts and techniques of advanced linear algebra. By exploring the interplay between algebra and geometry, this textbook motivates a deeper understanding of abstract structures and matrix decompositions.

The book builds on a first course in linear algebra, offering readers a thorough grasp of vector spaces, isomorphisms, orthogonality, and projections, as well as numerous matrix decompositions. Concepts are supported by concrete examples and frequent marginal notes, showcasing the author's visual approach. Exercises of varying levels accompany each section.

Additional topics include tensors and multilinearity, with a focus on the Kronecker product, multilinear transformations, and tensor products. The book also includes "Extra Topic" sections that augment the core content with a wide range of ideas and applications, making it an ideal resource for students of mathematics, data analysis, and beyond.

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