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Linear Algebra, Geometry And Transformation

Linear Algebra, Geometry And Transformation
Books from same Author: Solomon and B
Books from same Publisher: T&F/Routledge

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Description

Linear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem. The text starts with basic questions about images and pre-images of mappings, injectivity, surjectivity, and distortion. In the process of answering these questions in the linear setting, the book covers all the standard topics for a first course on linear algebra, including linear systems, vector geometry, matrix algebra, subspaces, independence, dimension, orthogonality, eigenvectors, and diagonalization. This book guides students on a journey from computational mathematics to conceptual reasoning. It takes them from simple "identity verification" proofs to constructive and contrapositive arguments. It will prepare them for future studies in algebra, multivariable calculus, and the fields that use them

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General Information
Author(s)Solomon and B
PublisherT&F/Routledge
ISBN9781482299281
Pages474
BindingHardcover
LanguageEnglish
Publish YearFebruary 2015
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