Applied Linear Algebra and Matrix Analysis

In its second edition, this textbook offers a fresh approach to matrix and linear algebra. Its blend of theory, computational exercises, and analytical writing projects is designed to highlight the interplay between these aspects of an application. This approach places special emphasis on linear alg...

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Hlavní autor: Shores, Thomas S. (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:2nd ed. 2018.
Edice:Undergraduate Texts in Mathematics,
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ISBN:9783319747484
ISSN:0172-6056
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245 1 0 |a Applied Linear Algebra and Matrix Analysis  |h [electronic resource] /  |c by Thomas S. Shores. 
250 |a 2nd ed. 2018. 
260 1 |a Cham :  |b Springer International Publishing,  |c 2018. 
300 |a XII, 479 p. 45 illus., 30 illus. in color.  |b online resource. 
490 1 |a Undergraduate Texts in Mathematics,  |x 0172-6056 
500 |a Mathematics and Statistics  
505 0 |a 1. Linear Systems of Equations -- 2. Matrix Algebra -- 3. Vector Spaces -- 4. Geometrical Aspects of Standard Spaces -- 5. The Eigenvalue Problem -- 6. Geometrical Aspects of Abstract Spaces. 
516 |a text file PDF 
520 |a In its second edition, this textbook offers a fresh approach to matrix and linear algebra. Its blend of theory, computational exercises, and analytical writing projects is designed to highlight the interplay between these aspects of an application. This approach places special emphasis on linear algebra as an experimental science that provides tools for solving concrete problems. The second edition's revised text discusses applications of linear algebra like graph theory and network modeling methods used in Google's PageRank algorithm. Other new materials include modeling examples of diffusive processes, linear programming, image processing, digital signal processing, and Fourier analysis. These topics are woven into the core material of Gaussian elimination and other matrix operations; eigenvalues, eigenvectors, and discrete dynamical systems; and the geometrical aspects of vector spaces. Intended for a one-semester undergraduate course without a strict calculus prerequisite, Applied Linear Algebra and Matrix Analysis augments the key elements of linear algebra with a wide choice of optional sections. With the book's selection of applications and platform-independent assignments, instructors can tailor the curriculum to suit specific interests and ensure students across various disciplines are equipped with the powerful tools of linear algebra. . 
650 0 |a Matrix theory. 
650 0 |a Algebra. 
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