Linear algebra : an introductory approach

Charles W. Curtis

This revised and updated fourth edition designed for upper division courses in linear algebra includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion. A special feature is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study, and new to this edition is a section on analytic methods in matrix theory, with applications to Markov chains in probability theory. Proofs of all the main theorems are included, and are presented on an equal footing with methods for solving numerical problems. Worked examples are integrated into almost every section, to bring out the meaning of the theorems, and illustrate techniques for solving problems. Many numerical exercises make use of all the ideas, and develop computational skills, while exercises of a theoretical nature provide opportunities for students to discover for themselves.

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  • Introduction to Linear Algebra.- Vector Spaces and Systems of Linear Equations.- Linear Transformations and Matrices.- Vector Spaces with an Inner Product.- Determinants.- Polynomials and Complex Numbers.- The Theory of a Single Linear Transformation.- Dual Vector Spaces and Multilinear Algebra.- Orthogonal and Unitary Transformations.- Some Applications of Linear Algebra.- Bibliography (with Notes).- Solutions of Selected Exercises.- Symbols (Including Greek Letters).- Index.

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書名 Linear algebra : an introductory approach
著作者等 Curtis, Charles W
Curtis Charles W.
シリーズ名 Undergraduate texts in mathematics
出版元 Springer-Verlag
刊行年月 c1984
版表示 4th ed. 1984. Corr. 7th printing 1999
ページ数 x, 337 p.
大きさ 25 cm
ISBN 3540909923
NCID BA01308945
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言語 英語
出版国 アメリカ合衆国