Linear Algebra and Geometry: A Second Course
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Overview
The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.Synopsis
Kaplansky, formerly an instructor at the University of Chicago, overviews the correlation between algebra and geometry and illustrates concepts with examples, exercises, and proofs. Coverage begins with definitions and examples of inner product spaces, and concludes with higher dimensional spaces, noncommutativity, and synthetic foundations of geometry. This is an unabridged republication of the edition of the book originally published by Allyn & Bacon, Boston, in 1969, and revised by Chelsea Publishing Company, New York, in 1974. Annotation ©2003 Book News, Inc., Portland, OR