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Author: HADDADI Salim Publisher: Lavoisier ISBN: 2746289075 Category : Languages : en Pages : 306
Book Description
L’algèbre linéaire permet de résoudre les équations dites linéaires utilisées en mathématiques, en informatique, en mécanique, en sciences naturelles ou en sciences sociales. Du point de vue de l’informaticien, la résolution passe par l’ordinateur. Or, ce dernier ne peut pas tout faire. Il y a des limites d’ordre qualitatives et quantitatives que la machine ne peut dépasser, et d’autres qu’elle ne peut franchir que dans un temps excessivement long. Cet ouvrage théorique et pratique expose tour à tour : – les matrices et leurs opérations ; – l’espace vectoriel Rn ; – l’espace vectoriel Rn muni du produit scalaire ; – les systèmes d’équations linéaires ; – les transformations linéaires, les valeurs et vecteurs propres. Il contient également un chapitre spécifique sur la complexité théorique des problèmes posés en algèbre linéaire (résolution d’un système d’équations linéaires, calcul de l’inverse d’une matrice, du déterminant, du rang, etc.) ainsi qu’une annexe introduisant la théorie de la complexité. Algèbre linéaire dans Rn tire son originalité de la présentation des grands concepts de l’algèbre linéaire et ceux de l’algorithmique et de l’informatique théorique. L’auteur, Salim Haddadi, est professeur en recherche opérationnelle. Ses recherches portent sur l’optimisation combinatoire et la théorie de la complexité.
Author: HADDADI Salim Publisher: Lavoisier ISBN: 2746289075 Category : Languages : en Pages : 306
Book Description
L’algèbre linéaire permet de résoudre les équations dites linéaires utilisées en mathématiques, en informatique, en mécanique, en sciences naturelles ou en sciences sociales. Du point de vue de l’informaticien, la résolution passe par l’ordinateur. Or, ce dernier ne peut pas tout faire. Il y a des limites d’ordre qualitatives et quantitatives que la machine ne peut dépasser, et d’autres qu’elle ne peut franchir que dans un temps excessivement long. Cet ouvrage théorique et pratique expose tour à tour : – les matrices et leurs opérations ; – l’espace vectoriel Rn ; – l’espace vectoriel Rn muni du produit scalaire ; – les systèmes d’équations linéaires ; – les transformations linéaires, les valeurs et vecteurs propres. Il contient également un chapitre spécifique sur la complexité théorique des problèmes posés en algèbre linéaire (résolution d’un système d’équations linéaires, calcul de l’inverse d’une matrice, du déterminant, du rang, etc.) ainsi qu’une annexe introduisant la théorie de la complexité. Algèbre linéaire dans Rn tire son originalité de la présentation des grands concepts de l’algèbre linéaire et ceux de l’algorithmique et de l’informatique théorique. L’auteur, Salim Haddadi, est professeur en recherche opérationnelle. Ses recherches portent sur l’optimisation combinatoire et la théorie de la complexité.
Author: David C. Lay Publisher: ISBN: 9781292020556 Category : Algebras, Linear Languages : en Pages : 800
Book Description
NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value--this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. xxxxxxxxxxxxxxx For courses in linear algebra.This package includes MyMathLab(R). With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete "Rn" setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. Personalize learning with MyMathLabMyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. MyMathLab includes assignable algorithmic exercises, the complete eBook, interactive figures, tools to personalize learning, and more.
Author: Derek Holton Publisher: Springer Science & Business Media ISBN: 9781402000720 Category : Education Languages : en Pages : 580
Book Description
This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).
Author: J.-L. Dorier Publisher: Springer Science & Business Media ISBN: 0306472244 Category : Education Languages : en Pages : 302
Book Description
This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
Author: John Fauvel Publisher: Springer Science & Business Media ISBN: 0306472201 Category : Education Languages : en Pages : 456
Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
Author: Alan Bishop Publisher: Springer Science & Business Media ISBN: 9400914652 Category : Education Languages : en Pages : 1336
Book Description
ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.
Author: Belkacem Said-Houari Publisher: Birkhäuser ISBN: 3319637932 Category : Mathematics Languages : en Pages : 393
Book Description
This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples. The book includes a set of exercises at the end of each chapter, which have been carefully chosen to illustrate the main ideas. Some of them were taken (with some modifications) from recently published papers, and appear in a textbook for the first time. Detailed solutions are provided for every exercise, and these refer to the main theorems in the text when necessary, so students can see the tools used in the solution.
Author: Grégoire Allaire Publisher: Springer Science & Business Media ISBN: 0387689184 Category : Mathematics Languages : en Pages : 282
Book Description
This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters along with examples and exercises with Matlab. In recent years, the use of computers in many areas of engineering and science has made it essential for students to get training in numerical methods and computer programming. Here, the authors use both Matlab and SciLab software as well as covering core standard material. It is intended for libraries; scientists and researchers; pharmaceutical industry.
Author: HADDADI Salim
Author: HADDADI Salim
Author: David C. Lay
Author: Derek Holton
Author: J.-L. Dorier
Author: Victor J. Katz
Author: John Fauvel
Author: Marie-Paule Malliavin
Author: Alan Bishop
Author: Belkacem Said-Houari
Author: Grégoire Allaire