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020 _a9783319747477
040 _aNISER LIBRARY
_beng
_erda
_cNISER LIBRARY
082 _a512.64
_bSHO-A
100 1 _aShores, Thomas S.
245 0 0 _aApplied linear algebra and matrix analysis
250 _a2nd edition
260 _aNew York, NY :
_bSpringer Berlin Heidelberg,
_c2018.
300 _axii, 479 pages :
_billustrations (15 b/w illustrations, 30 illustrations in colour) ;
_c25 cm.
490 _aUndergraduate texts in mathematics,
_x0172-6056
504 _aIncludes bibliographical references (pages 469-470) and index.
520 _aIn 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 _aAlgebra
650 0 _aAlgebras, Linear
650 0 _aMatrix analytic methods
650 0 _aGaussian elimination
650 0 _aMatrix theory
650 0 _aGram-Schmidt algorithm
650 0 _aVector spaces
650 0 _aDiscrete dynamical systems
650 0 _aMatrix algebra
650 0 _aGoogle PageRank
650 0 _aLinear programming
856 _3Table of content
_uhttps://link.springer.com/content/pdf/bfm:978-3-319-74748-4/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/37692856-applied-linear-algebra-and-matrix-analysis?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35700
_d35700