A prominent and influential mathematician who has received numerous awards wrote this text to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Based on his many years of experience as an instructor the University of Chicago, author Irving Kaplansky presents a coherent overview of the correlation between these two branches of mathematics, illustrating his topics with an abundance of examples, exercises, and proofs. Suitable for both undergraduate and graduate courses.
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.