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Linear Algebra Through Geometry

Linear Algebra Through Geometry - 2nd edition

ISBN13: 978-0387975863

Cover of Linear Algebra Through Geometry 2ND 92 (ISBN 978-0387975863)
ISBN13: 978-0387975863
ISBN10: 0387975861
Cover type: Hardback
Edition/Copyright: 2ND 92
Publisher: Springer-Verlag New York
Published: 1992
International: No

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Linear Algebra Through Geometry - 2ND 92 edition

ISBN13: 978-0387975863

T. F. Banchoff and J. Wermer

ISBN13: 978-0387975863
ISBN10: 0387975861
Cover type: Hardback
Edition/Copyright: 2ND 92
Publisher: Springer-Verlag New York

Published: 1992
International: No
Summary

Linear Algebra Through Geometryintroduces 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.

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