Linear algebra
著者
書誌事項
Linear algebra
(Courant lecture notes in mathematics, 29)
Courant Institute of Mathematical Sciences, New York University , American Mathematical Society, c2019
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注記
Includes index
内容説明・目次
内容説明
This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise.
目次
Vector Spaces Over a Field $\mathbb{K}$
Linear Operators $T: V \to W$
Duality and the Dual Space $V^*$
Determinants
The Diagonalization Problem
Inner Product Spaces
Index
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