Overview
- Authors:
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Thomas Banchoff
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Department of Mathematics, Brown University, Providence, USA
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John Wermer
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Department of Mathematics, Brown University, Providence, USA
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Table of contents (35 chapters)
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- Thomas Banchoff, John Wermer
Pages 205-212
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- Thomas Banchoff, John Wermer
Pages 213-217
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- Thomas Banchoff, John Wermer
Pages 218-225
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- Thomas Banchoff, John Wermer
Pages 226-234
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- Thomas Banchoff, John Wermer
Pages 235-237
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- Thomas Banchoff, John Wermer
Pages 238-244
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- Thomas Banchoff, John Wermer
Pages 245-246
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- Thomas Banchoff, John Wermer
Pages 247-252
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- Thomas Banchoff, John Wermer
Pages 253-254
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- Thomas Banchoff, John Wermer
Pages 255-259
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- Thomas Banchoff, John Wermer
Pages 260-262
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- Thomas Banchoff, John Wermer
Pages 263-268
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- Thomas Banchoff, John Wermer
Pages 269-273
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- Thomas Banchoff, John Wermer
Pages 274-290
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- Thomas Banchoff, John Wermer
Pages 291-295
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- Thomas Banchoff, John Wermer
Pages 296-301
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Back Matter
Pages 303-307
About this book
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.