"Linear Algebra Through Geometry" introduces the concepts of linear algebra through the 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 deals with applications of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only basic required knowledge for using this book (with the exception of one section on systems of differential equations) is a working knowledge of school geometry, algebra and introductory trigonometry.
- ISBN10 3540975861
- ISBN13 9783540975861
- Publish Date December 1991 (first published 2 May 1983)
- Publish Status Out of Print
- Out of Print 10 November 2010
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Edition 2nd Revised edition
- Format Hardcover
- Pages 317
- Language English