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Linear Algebra Through Geometry (Undergraduate Texts in Mathematics)

 
 
 
 
Linear Algebra Through Geometry (Undergraduate Texts in Mathematics)
Author: Thomas Banchoff - John Wermer
ISBN 13: 9780387975863
ISBN 10: 387975861
Edition: 2nd
Publisher: Springer
Publication Date: 1993-09-10
Format: Hardcover
Pages: 308
List Price: $74.95
 
 

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.

Booknews

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 c. Book News, Inc., Portland, OR (booknews.com)