國立高雄大學圖資館 |

Linear algebra for the sciences

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear algebra for the sciencesby Manuel Benz, Thomas Kappeler.
Author:	Benz, Manuel.
other author:	Kappeler, Thomas.
Published:	Cham :Springer International Publishing :2023.
Description:	xii, 259 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Algebras, Linear.
Online resource:	https://doi.org/10.1007/978-3-031-27220-2
ISBN:	9783031272202$q(electronic bk.)

Linear algebra for the sciences
Benz, Manuel.

Linear algebra for the sciences[electronic resource] /by Manuel Benz, Thomas Kappeler. - Cham :Springer International Publishing :2023. - xii, 259 p. :ill., digital ;24 cm. - La matematica per il 3+2,v. 1512038-5757 ;. - La matematica per il 3+2 ;v.113..

Part I Systems of linear equations -- 1 Introduction -- 2 Systems with two equations and two unknowns -- 3 Gaussian elimination -- Part II Matrices and related topics -- 4 Basic operations -- 5 Linear dependence, bases, coordinates -- 6 Determinants -- Part III Complex numbers -- 7 Complex numbers: definition and operations -- 8 The Fundamental Theorem of Algebra -- 9 Linear systems with complex coefficients -- Part IV Vector spaces and linear maps -- 10 Vector spaces and their linear subspaces -- 11 Linear maps -- 12 Inner products on K-vector spaces -- Part V Eigenvalues and eigenvectors -- 13 Eigenvalues and eigenvectors of C-linear maps -- 14 Eigenvalues and eigenvectors of R-linear maps -- 15 Quadratic forms on Rn -- Part VI Differential equations -- 16 Introduction -- 17 Linear ODEs with constant coefficients of first order -- 18 Linear ODEs with constant coefficients of higher order -- Appendix A Solutions.

This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid.

ISBN: 9783031272202$q(electronic bk.)

Standard No.: 10.1007/978-3-031-27220-2doiSubjects--Topical Terms:

183087
Algebras, Linear.

LC Class. No.: QA184.2

Dewey Class. No.: 512.5

Linear algebra for the sciences
LDR:02613nmm a2200337 a 4500 001 647879
003 DE-He213
005 20230826215017.0
006 m d
007 cr nn 008maaau
008 240116s2023 sz s 0 eng d
020 $a 9783031272202$q(electronic bk.)
020 $a 9783031272196$q(paper)
024 7 $a 10.1007/978-3-031-27220-2 $2 doi
035 $a 978-3-031-27220-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA184.2
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
090 $a QA184.2 $b .B479 2023
100 1 $a Benz, Manuel. $3 957383
245 1 0 $a Linear algebra for the sciences $h [electronic resource] / $c by Manuel Benz, Thomas Kappeler.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xii, 259 p. : $b ill., digital ; $c 24 cm.
490 1 $a La matematica per il 3+2, $x 2038-5757 ; $v v. 151
505 0 $a Part I Systems of linear equations -- 1 Introduction -- 2 Systems with two equations and two unknowns -- 3 Gaussian elimination -- Part II Matrices and related topics -- 4 Basic operations -- 5 Linear dependence, bases, coordinates -- 6 Determinants -- Part III Complex numbers -- 7 Complex numbers: definition and operations -- 8 The Fundamental Theorem of Algebra -- 9 Linear systems with complex coefficients -- Part IV Vector spaces and linear maps -- 10 Vector spaces and their linear subspaces -- 11 Linear maps -- 12 Inner products on K-vector spaces -- Part V Eigenvalues and eigenvectors -- 13 Eigenvalues and eigenvectors of C-linear maps -- 14 Eigenvalues and eigenvectors of R-linear maps -- 15 Quadratic forms on Rn -- Part VI Differential equations -- 16 Introduction -- 17 Linear ODEs with constant coefficients of first order -- 18 Linear ODEs with constant coefficients of higher order -- Appendix A Solutions.
520 $a This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid.
650 0 $a Algebras, Linear. $3 183087
650 1 4 $a Linear Algebra. $3 821215
650 2 4 $a Algebra. $3 188312
700 1 $a Kappeler, Thomas. $3 957384
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a La matematica per il 3+2 ; $v v.113. $3 825960
856 4 0 $u https://doi.org/10.1007/978-3-031-27220-2
950 $a Mathematics and Statistics (SpringerNature-11649)