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 1-2
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- Thomas Banchoff, John Wermer
Pages 3-22
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- Thomas Banchoff, John Wermer
Pages 23-28
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- Thomas Banchoff, John Wermer
Pages 29-38
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- Thomas Banchoff, John Wermer
Pages 39-49
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- Thomas Banchoff, John Wermer
Pages 50-60
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- Thomas Banchoff, John Wermer
Pages 61-74
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- Thomas Banchoff, John Wermer
Pages 75-84
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- Thomas Banchoff, John Wermer
Pages 85-97
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- Thomas Banchoff, John Wermer
Pages 98-112
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- Thomas Banchoff, John Wermer
Pages 113-116
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- Thomas Banchoff, John Wermer
Pages 117-121
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- Thomas Banchoff, John Wermer
Pages 122-132
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- Thomas Banchoff, John Wermer
Pages 133-150
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- Thomas Banchoff, John Wermer
Pages 151-162
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- Thomas Banchoff, John Wermer
Pages 163-177
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- Thomas Banchoff, John Wermer
Pages 178-189
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- Thomas Banchoff, John Wermer
Pages 190-196
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- Thomas Banchoff, John Wermer
Pages 197-204
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.