Linear algebra : concepts and applications
著者
書誌事項
Linear algebra : concepts and applications
（AMS/MAA textbooks, v. 47）
MAA Press, an imprint of the American Mathematical Society, c2019
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注記
Includes index
内容説明・目次
内容説明
Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible.
The applications of linear algebra are extensive and substantial-several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.
目次
Vectors and matrices
Linear systems
Determinants
Vector spaces
Linear transformations
Orthogonality and projections
Eigenvalues and singular values
Answers to selected odd-numbered exercises
Recurring references to selected transformations in $R^2$
Twelve equivalent statements
Index.
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