Linear Algebra Through Geometry

Banchoff, Thomas; Wermer, John

ISBN 10: 0387975861 / ISBN 13: 9780387975863

Published by Springer, 1991

Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0387975861I5N00

Synopsis:

Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry.

Synopsis: Revised and expanded undergraduate textbook introduces the concepts of linear algebra through the careful study of two- and three-dimensional Euclidean geometry. Except for the applications in the final chapter, the only prerequisites are high-school geometry, algebra, and introductory trigonometry. Annotation copyright Book News, Inc. Portland, Or

Bibliographic Details

Title: Linear Algebra Through Geometry
Publisher: Springer
Publication Date: 1991
Binding: Hardcover
Condition: Fair
Dust Jacket Condition: No Jacket
Edition: 2nd Edition