Linear Algebra, Geometry and Transformation (Textbooks in Mathematics #20) (Hardcover)

Linear Algebra, Geometry and Transformation (Textbooks in Mathematics #20) By Bruce Solomon Cover Image

Linear Algebra, Geometry and Transformation (Textbooks in Mathematics #20) (Hardcover)

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The Essentials of a First Linear Algebra Course and More

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.

An Engaging Treatment of the Interplay among Algebra, Geometry, and Mappings

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.

A Smooth Transition to the Conceptual Realm of Higher Mathematics

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.

Print Versions of this book also include access to the ebook version.

Bruce Solomon is a professor in the Department of Mathematics at Indiana University Bloomington, where he often teaches linear algebra. He has held visiting positions at Stanford University and in Australia, France, and Israel. His research articles explore differential geometry and geometric variational problems. He earned a PhD from Princeton University.
Product Details ISBN: 9781482299281
ISBN-10: 1482299283
Publisher: CRC Press
Publication Date: December 2nd, 2014
Pages: 474
Language: English
Series: Textbooks in Mathematics