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Linear Algebra Through Geometry

Linear Algebra Through Geometry

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作者: Thomas Banchoff , John Wermer

出版社: Springer

出版时间: 1993-09

ISBN: 9780387975863

装帧: 其他

页数: 308页

丛书: Undergraduate Texts in Mathematics

分类: 外文古旧书>英文书>文学

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.
Written for » Lower undergraduate
Keywords » Algebra - CON_D028 - Lineare Algebra
Related subjects » Algebra - Geometry & Topology
内容简介:
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.
Written for » Lower undergraduate
Keywords » Algebra - CON_D028 - Lineare Algebra
Related subjects » Algebra - Geometry & Topology

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