國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Applied linear algebra

Olver, Peter J.

Applied linear algebra

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Applied linear algebraby Peter J. Olver, Chehrzad Shakiban.
作者:	Olver, Peter J.
其他作者:	Shakiban, Chehrzad.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xxv, 679 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-91041-3
ISBN:	9783319910413$q(electronic bk.)

Applied linear algebra
Olver, Peter J.

Applied linear algebra[electronic resource] /by Peter J. Olver, Chehrzad Shakiban. - 2nd ed. - Cham :Springer International Publishing :2018. - xxv, 679 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,0172-6056. - Undergraduate texts in mathematics..

Preface -- 1. Linear Algebraic Systems -- 2. Vector Spaces and Bases -- 3. Inner Products and Norms -- 4. Minimization and Least Squares Approximation -- 5. Orthogonality -- 6. Equilibrium -- 7. Linearity -- 8. Eigenvalues -- 9. Linear Dynamical Systems -- 10. Iteration of Linear Systems -- 11. Boundary Value Problems in One Dimension -- References -- Index.

This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author's text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.

ISBN: 9783319910413$q(electronic bk.)

Standard No.: 10.1007/978-3-319-91041-3doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA184.2 / .O48 2018

Dewey Class. No.: 512.5

Applied linear algebra
LDR:03293nmm a2200337 a 4500 001 538976
003 DE-He213
005 20181130154538.0
006 m d
007 cr nn 008maaau
008 190122s2018 gw s 0 eng d
020 $a 9783319910413$q(electronic bk.)
020 $a 9783319910406$q(paper)
024 7 $a 10.1007/978-3-319-91041-3 $2 doi
035 $a 978-3-319-91041-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA184.2 $b .O48 2018
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
082 0 4 $a 512.5 $2 23
090 $a QA184.2 $b .O52 2018
100 1 $a Olver, Peter J. $3 190897
245 1 0 $a Applied linear algebra $h [electronic resource] / $c by Peter J. Olver, Chehrzad Shakiban.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xxv, 679 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate texts in mathematics, $x 0172-6056
505 0 $a Preface -- 1. Linear Algebraic Systems -- 2. Vector Spaces and Bases -- 3. Inner Products and Norms -- 4. Minimization and Least Squares Approximation -- 5. Orthogonality -- 6. Equilibrium -- 7. Linearity -- 8. Eigenvalues -- 9. Linear Dynamical Systems -- 10. Iteration of Linear Systems -- 11. Boundary Value Problems in One Dimension -- References -- Index.
520 $a This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author's text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.
650 0 $a Mathematics. $3 184409
650 0 $a Matrix theory. $3 678656
650 0 $a Algebra. $3 188312
650 0 $a Mathematical physics. $3 190854
650 0 $a Algebras, Linear. $3 183087
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
700 1 $a Shakiban, Chehrzad. $3 816316
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Undergraduate texts in mathematics. $3 490158
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-91041-3
950 $a Mathematics and Statistics (Springer-11649)