國立虎尾科技大學 |

Applied Linear Algebra and Matrix Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Applied Linear Algebra and Matrix Analysis/ by Thomas S. Shores.
作者:	Shores, Thomas S.
面頁冊數:	XII, 479 p. 45 illus., 30 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Matrix theory. -
電子資源:	https://doi.org/10.1007/978-3-319-74748-4
ISBN:	9783319747484

Applied Linear Algebra and Matrix Analysis
Shores, Thomas S.

Applied Linear Algebra and Matrix Analysis[electronic resource] /by Thomas S. Shores. - 2nd ed. 2018. - XII, 479 p. 45 illus., 30 illus. in color.online resource. - Undergraduate Texts in Mathematics,0172-6056. - Undergraduate Texts in Mathematics,.

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.

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. .

ISBN: 9783319747484

Standard No.: 10.1007/978-3-319-74748-4doiSubjects--Topical Terms:

1023862
Matrix theory.

LC Class. No.: QA184-205

Dewey Class. No.: 512.5

Applied Linear Algebra and Matrix Analysis
LDR:02981nam a22004095i 4500 001 992912
003 DE-He213
005 20200630203315.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319747484 $9 978-3-319-74748-4
024 7 $a 10.1007/978-3-319-74748-4 $2 doi
035 $a 978-3-319-74748-4
050 4 $a QA184-205
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.5 $2 23
100 1 $a Shores, Thomas S. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1203962
245 1 0 $a Applied Linear Algebra and Matrix Analysis $h [electronic resource] / $c by Thomas S. Shores.
250 $a 2nd ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XII, 479 p. 45 illus., 30 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Undergraduate Texts in Mathematics, $x 0172-6056
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.
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. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 1 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319747477
776 0 8 $i Printed edition: $z 9783319747491
776 0 8 $i Printed edition: $z 9783030090678
830 0 $a Undergraduate Texts in Mathematics, $x 0172-6056 $3 1253653
856 4 0 $u https://doi.org/10.1007/978-3-319-74748-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)