000 02234nam a22002537a 4500
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020 _a9788181281784
028 _a: Donated by Prof. Amber Habib.
082 _a512.897 CUR
100 _aCurtis, Charles W.
245 _aLinear algebra,
_b: an introductory approach.
_c/Charles W Curtis.
260 _a, New York
_b: Springer-Verlag
_c, 1984.
300 _ax, 337 pages
_b: illustrations
_c; 25 cm.
365 _bDonated
505 _a1. Introduction to linear algebra 2. Vector spaces and systems of linear equations 3. Linear transformations and matrices 4. Vector spaces with an inner product 5. Determinants 6. Polynomials and complex numbers 7. The theory of a single linear transformation 8. Dual vector spaces and multilinear algebra 9. Orthogonal and unitary transformations 10. Some applications of linear algebra
520 _aThis 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
650 _aLineare Algebra
650 _aMathematics
650 _aapplied mathematics
650 _aEinführung
700 _aCharles W. Curtis.
942 _cBOOK
999 _c59992
_d59992