An Introduction to Linear Algebra / LIU Xuan  

Public ISBD 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, Linear Index. 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 Index Côte 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, Linear Index. 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 Index Côte titre : E-Fs/0055 En ligne : https://sciences-courses.univ-setif.dz/login/index.php

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Diffusion, Segregation and Solid-state Phase Transformations / Didier Blavette  

Public ISBD Titre : Diffusion, Segregation and Solid-state Phase Transformations : Course Reminders and Solved Problems Type de document : document électronique Auteurs : Didier Blavette ; Thomas Philippe Editeur : France : EDP Sciences Année de publication : 2022 Importance : 1 vol (258 p.) ISBN/ISSN/EAN : 978-2-7598-2744-2 Langues : Français (fre) Catégories : Bibliothèque numérique:Physique Mots-clés : Materials science:Problems, exercises, etc Thermodynamics:Problems, exercises, etc Index. décimale : 530 - Physique Résumé : This book contains a set of solved problems on the thermodynamics of phase transformations, diffusion and kinetics in alloys. These problems, preceded by a reminder of the course, are completed by answers detailing each stage of the calculations. The topics covered in the book (precipitation, ordering, segregation on crystalline defects, growth of a thin film, oxidation, creep, doping of semiconductors, etc.) are essential for the design of materials and the optimisation of heat treatments and properties, whether for structural materials (steels, Ni, Al, Cu, Ti-based alloys, etc.) or functional materials (semiconductors, alloys and magnetic multilayers, etc.). They often lead to an industrial problem (aeronautics, nuclear power plants, microelectronics, etc.). This book is intended for teachers and students of bachelor's and master's degrees, but also for engineering students, PhD students and researchers. Note de contenu : Table of Contents Diffusion, Segregation and Solid-State Phase Transformations Preface Contents Thermodynamics of Equilibria and Phase Diagrams Course Reminders Problems Diffusion and Transport in Solids Course Reminders Problems Kinetics of Formation of a New Phase Course Reminder Problems Constants References Index Côte titre : E-Fs/0021 En ligne : https://sciences-courses.univ-setif.dz/login/index.php Diffusion, Segregation and Solid-state Phase Transformations : Course Reminders and Solved Problems [document électronique] / Didier Blavette ; Thomas Philippe . - [S.l.] : France : EDP Sciences, 2022 . - 1 vol (258 p.). ISBN : 978-2-7598-2744-2 Langues : Français (fre) Catégories : Bibliothèque numérique:Physique Mots-clés : Materials science:Problems, exercises, etc Thermodynamics:Problems, exercises, etc Index. décimale : 530 - Physique Résumé : This book contains a set of solved problems on the thermodynamics of phase transformations, diffusion and kinetics in alloys. These problems, preceded by a reminder of the course, are completed by answers detailing each stage of the calculations. The topics covered in the book (precipitation, ordering, segregation on crystalline defects, growth of a thin film, oxidation, creep, doping of semiconductors, etc.) are essential for the design of materials and the optimisation of heat treatments and properties, whether for structural materials (steels, Ni, Al, Cu, Ti-based alloys, etc.) or functional materials (semiconductors, alloys and magnetic multilayers, etc.). They often lead to an industrial problem (aeronautics, nuclear power plants, microelectronics, etc.). This book is intended for teachers and students of bachelor's and master's degrees, but also for engineering students, PhD students and researchers. Note de contenu : Table of Contents Diffusion, Segregation and Solid-State Phase Transformations Preface Contents Thermodynamics of Equilibria and Phase Diagrams Course Reminders Problems Diffusion and Transport in Solids Course Reminders Problems Kinetics of Formation of a New Phase Course Reminder Problems Constants References Index Côte titre : E-Fs/0021 En ligne : https://sciences-courses.univ-setif.dz/login/index.php

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