Linear algebra : a first course with applications
著者
書誌事項
Linear algebra : a first course with applications
(Textbooks in mathematics)
CRC Press, c2009
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注記
Includes index
内容説明・目次
内容説明
Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google's PageRank.
Unlike other texts on the subject, this classroom-tested book gives students enough time to absorb the material by focusing on vector spaces early on and using computational sections as numerical interludes. It offers introductions to Maple (TM), MATLAB (R), and TI-83 Plus for calculating matrix inverses, determinants, eigenvalues, and eigenvectors.
Moving from the specific to the general, the author raises questions, provides motivation, and discusses strategy before presenting answers. Discussions of motivation and strategy include content and context to help students learn.
目次
Preface for the Instructor. Foreword. A Little Logic. An Introduction to Vector Spaces. Vector Spaces in General. A Numerical Interlude-Systems of Linear Equations. The Structure of Vector Spaces. Linear Transformations. Linear Transformations and Matrices. Determinants. Eigenvalues and Eigenvectors. Answers to Selected Problems. Index.
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