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Linear algebra through geometry

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  • 257 pages
  • 9 hours of reading

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This book 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.

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Linear algebra through geometry, Thomas F. Banchoff

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Released
1983
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(Hardcover)
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Title
Linear algebra through geometry
Language
English
Released
1983
Format
Hardcover
Pages
257
ISBN10
0387907874
ISBN13
9780387907871
Series
Description
This book 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.