Linear Algebra and Its Applications, Second Edition(Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

理论与应用数学

代数学

售   价:
742.00
作      者
出  版 社
出版时间
2007年08月27日
装      帧
精装
ISBN
9780471751564
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页      码
392
开      本
23.4 x 16.6 x 2.4 cm
语      种
英文
版      次
2nd ed.
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图书简介
The beginning chapters are devoted to the abstract structure of finite dimensional vector spaces. For this new edition, Chapter 1 has been rewritten to help to ease the transition for readers who only know about vectors as described by components. A new chapter has been added to discuss the numerical computation of the eigenvalues of selfadjacent matrices by the QR algorithm as applied to tridiagonal matrices. Subsequent chapters deal with determinants as a blend of geometry, algebra, and general spectral theory. Euclidean structure is used to explain the notion of selfadjoint mappings and their spectral theory. Dr. Lax moves on to the calculus of vector and matrix valued functions of a single variablea neglected topic in most undergraduate programsand presents matrix inequalities from a variety of perspectives. Later chapters cover convexity and the duality theorem, describe the basics of normed linear spaces and linear maps between normed spaces, and discuss the dominant eigenvalue of matrices whose entries are positive or merely non-negative. Sixteen appendices cover important topics, eight of which are new to this edition and most have been revised to include updated material.  Topic coverage includes: Jordan form; duality, linear mappings, and matrices; determinant, trace, and spectral theory; Euclidean structure and the spectral theory of selfadjoint maps; calculus of vector and matrix valued functions; matrix inequalities; kinematics and dynamics; convexity and the duality theorem; normed linear spaces, linear mappings between normed spaces, and positive matrices; and iterative methods for solving systems of linear equations.
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