University Sétif 1 FERHAT ABBAS Faculty of Sciences
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Auteur LIU Xuan |
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Titre : An Introduction to Linear Algebra Type de document : document électronique Auteurs : LIU Xuan ; ZHAO Zhi ; LIU Wei-Hui ; JIN Xiao-Qing Editeur : France : EDP Sciences Année de publication : 2022 Importance : 1 vol (221p.) ISBN/ISSN/EAN : 978-2-7598-3045-9 Langues : Français (fre) Catégories : Bibliothèque numérique:Mathématique Mots-clés : Mathematical analysis
Algebras, LinearIndex. décimale : 512.5 Algèbre linéaire Résumé :
Linear algebra is a core course for science and engineering students in colleges and universities. It is one of the foundations of modern mathematics and has extensive and profound applications in physics, computer science, engineering, economics, etc. This book aims to help readers acquire the basic knowledge of linear algebra and lay the ground for further study of mathematics courses. It is intended for first-year undergraduate students in engineering, science, and other areas related to mathematics. It is also suitable for self-study. This book is organized into eight chapters and the main contents include linear equations, basic operations of matrices, determinants, vector spaces, eigenvalues and eigenvectors, linear transformations, etc. In the eighth and last chapter, the authors draw on key concepts presented in the previous chapters in the book to give an elementary proof of the recently proposed Böttcher-Wenzel conjecture. In addition, the appendix provides a preliminary discussion of the independence of the axioms of vector spaces. The book provides simple exercises for tutorials and more challenging exercises for student practice.Note de contenu :
Table of contents :
Preface
Contents
Chapter 1 Linear Systems and Matrices
Chapter 2 Determinants
Chapter 3 Euclidean Vector Spaces
Chapter 4 General Vector Spaces
Chapter 5 Inner Product Spaces
Chapter 6 Eigenvalues and Eigenvectors
Chapter 7 Linear Transformations
Chapter 8 Additional Topics
Appendix A Independence of Axioms
Bibliography
IndexCôte titre : E-Fs/0055 En ligne : https://sciences-courses.univ-setif.dz/login/index.php An Introduction to Linear Algebra [document électronique] / LIU Xuan ; ZHAO Zhi ; LIU Wei-Hui ; JIN Xiao-Qing . - [S.l.] : France : EDP Sciences, 2022 . - 1 vol (221p.).
ISBN : 978-2-7598-3045-9
Langues : Français (fre)
Catégories : Bibliothèque numérique:Mathématique Mots-clés : Mathematical analysis
Algebras, LinearIndex. décimale : 512.5 Algèbre linéaire Résumé :
Linear algebra is a core course for science and engineering students in colleges and universities. It is one of the foundations of modern mathematics and has extensive and profound applications in physics, computer science, engineering, economics, etc. This book aims to help readers acquire the basic knowledge of linear algebra and lay the ground for further study of mathematics courses. It is intended for first-year undergraduate students in engineering, science, and other areas related to mathematics. It is also suitable for self-study. This book is organized into eight chapters and the main contents include linear equations, basic operations of matrices, determinants, vector spaces, eigenvalues and eigenvectors, linear transformations, etc. In the eighth and last chapter, the authors draw on key concepts presented in the previous chapters in the book to give an elementary proof of the recently proposed Böttcher-Wenzel conjecture. In addition, the appendix provides a preliminary discussion of the independence of the axioms of vector spaces. The book provides simple exercises for tutorials and more challenging exercises for student practice.Note de contenu :
Table of contents :
Preface
Contents
Chapter 1 Linear Systems and Matrices
Chapter 2 Determinants
Chapter 3 Euclidean Vector Spaces
Chapter 4 General Vector Spaces
Chapter 5 Inner Product Spaces
Chapter 6 Eigenvalues and Eigenvectors
Chapter 7 Linear Transformations
Chapter 8 Additional Topics
Appendix A Independence of Axioms
Bibliography
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