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

Banchoff, Thomas; Wermer, John

Softcover

ISBN 10: 1461287529 ISBN 13: 9781461287520

Publisher: Springer, 2012

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.

Edition details

• Publisher: Springer
• Publication date: 2012
• Language: English
• ISBN 10: 1461287529
• ISBN 13: 9781461287520
• Binding: Paperback
• Edition number: 2
• Number of pages: 320