It takes them from simple "identity verification" proofs to constructive and contrapositive arguments. This book guides students on a journey from computational mathematics to conceptual reasoning. 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.Ī Smooth Transition to the Conceptual Realm of Higher Mathematics The text starts with basic questions about images and pre-images of mappings, injectivity, surjectivity, and distortion. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem.Īn Engaging Treatment of the Interplay among Algebra, Geometry, and Mappings Linear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. The Essentials of a First Linear Algebra Course and More For both formats the functionality available will depend on how you access the ebook (via Bookshelf Online in your browser or via the Bookshelf app on your PC or mobile device).
#PDF BASICS ESSENTIALS OF LINEAR ALGEBRA PDF#
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#PDF BASICS ESSENTIALS OF LINEAR ALGEBRA ANDROID#
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