Linear Algebra for the Sciences

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 mathemati...

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Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Benz, Manuel (Egilea), Kappeler, Thomas (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer International Publishing : Imprint: Springer, 2023.
Edizioa:1st ed. 2023.
Saila:La Matematica per il 3+2, 151
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-3-031-27220-2
Etiketak: Etiketa erantsi
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490 1 |a La Matematica per il 3+2,  |x 2038-5757 ;  |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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
532 8 |a Inaccessible, or known limited accessibility 
532 8 |a No reading system accessibility options actively disabled 
532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
588 |a Print version record. 
650 0 |a Algebras, Linear. 
650 0 |a Algebra. 
650 1 4 |a Linear Algebra. 
650 2 4 |a Algebra. 
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