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Fundamentals Of Matrix Analysis With Applications (Cód: 9236671)

Saff, Edward Barry; Snider,Arthur D; Saff,E B

John Wiley & Sons

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Descrição

An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, 'Fundamentals of Matrix Analysis with Applications' describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly-qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers' interest with refreshing discussions regarding the issues of operation counts, computer speed and prevision, complex arithmetic formulations, parametrization of solutions, and the logical traps that dictate strict adherence to Gauss's instructions. The book heralds matrix formulation both as notational shorthand and a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. In addition to coverage on lease squares theory's manifestations such as optimization, orthogonality, computational accuracy, and even function theory, 'Fundamentals of Matrix Analysis with Applications 'features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts 'Fundamentals of Matrix Analysis with Applications' is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science.. The book is an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms. Providing comprehensive coverage of matrix theory from a geometric and physical perspective, 'Fundamentals of Matrix Analysis with Applications' describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly-qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers' interest with refreshing discussions regarding the issues of operation counts, computer speed and prevision, complex arithmetic formulations, parametrization of solutions, and the logical traps that dictate strict adherence to Gauss's instructions. The book heralds matrix formulation both as notational shorthand and a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. In addition to coverage on lease squares theory's manifestations such as optimization, orthogonality, computational accuracy, and even function theory, 'Fundamentals of Matrix Analysis with Applications 'features:

Características

Peso 0.86 Kg
Produto sob encomenda Sim
Marca John Wiley & Sons
I.S.B.N. 9781118953655
Referência 033219528
Altura 25.65 cm
Largura 17.78 cm
Profundidade 2.79 cm
Número de Páginas 408
Idioma Inglês
Acabamento Capa dura
Cód. Barras 9781118953655
Ano da edição 2015
AutorSaff, Edward Barry; Snider,Arthur D; Saff,E B