LEADER 03224nam 22005295 450 001 9910742499203321 005 20230826215017.0 010 $a3-031-27220-X 024 7 $a10.1007/978-3-031-27220-2 035 $a(MiAaPQ)EBC30721628 035 $a(Au-PeEL)EBL30721628 035 $a(DE-He213)978-3-031-27220-2 035 $a(PPN)272261300 035 $a(EXLCZ)9928062195800041 100 $a20230826d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLinear Algebra for the Sciences$b[electronic resource] /$fby Manuel Benz, Thomas Kappeler 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (268 pages) 225 1 $aLa Matematica per il 3+2,$x2038-5757 ;$v151 311 08$aPrint version: Benz, Manuel Linear Algebra for the Sciences Cham : Springer International Publishing AG,c2023 9783031272196 327 $aPart 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. 330 $aThis book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid. 410 0$aLa Matematica per il 3+2,$x2038-5757 ;$v151 606 $aAlgebras, Linear 606 $aAlgebra 606 $aLinear Algebra 606 $aAlgebra 615 0$aAlgebras, Linear. 615 0$aAlgebra. 615 14$aLinear Algebra. 615 24$aAlgebra. 676 $a512.5 700 $aBenz$b Manuel$01425695 701 $aKappeler$b Thomas$0149745 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910742499203321 996 $aLinear Algebra for the Sciences$93556399 997 $aUNINA