Linear Algebra Through Geometry (Undergraduate Texts in Mathematics) - Hardcover

Banchoff, Thomas; Wermer, John

Hardcover

ISBN 10: 0387975861 ISBN 13: 9780387975863

Publisher: Springer, 1991

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.

About this title

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

Edition details

• Publisher: Springer
• Publication date: 1991
• Language: English
• ISBN 10: 0387975861
• ISBN 13: 9780387975863
• Binding: Hardcover
• Edition number: 2
• Number of pages: 320