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Author: HADDADI Salim
Publisher: Lavoisier
ISBN: 2746289075
Category :
Languages : en
Pages : 306
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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
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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: J.S.R. Chisholm
Publisher: Springer Science & Business Media
ISBN: 9400947283
Category : Mathematics
Languages : en
Pages : 589
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Book Description
William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
Author: B. Roy
Publisher: Springer Science & Business Media
ISBN: 9401175578
Category : Computers
Languages : en
Pages : 392
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Book Description
"Combinatorial Programming" are two words whose juxtaposition still strike us as unusual, nevertheless their association in recent years adequately reflects the preoccupations underlying differing work fields, and their importance will increase both from methodology and application view points. To those who like definitions and consider the function of this book to furnish one for combinatorial programming, I will simply say that it is precise ly this which is exclusively treated here and which in the eyes of the autors is the heart of this branch of applied mathematics. Such was the initial intention of those who in the spring of 1973 gathered tog~ther in Paris to state the work of the Advanced Study Institute from which this book arises. As young as combinatorial programming is, it was easy to see that a two week school was insufficient to cover the subject in an exhaustive manner. Finally the decision had to be taken to reduce to book form, and to organise within this particular means of expression, the essential syntheses and communications. Unfortunately the discussions, the round tables, and the majority of the case studies could not be included in this book which is more of a hand-book on the subject. XIV PREFACE The choice and orientation of the surveys has been guided by two criteria : the importance of already accomplished work, and the originality of the survey to be undertaken.
Author: P. L. Ivanescu
Publisher: Springer
ISBN: 3540371362
Category : Mathematics
Languages : en
Pages : 55
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Book Description
Author: Vangelis Th. Paschos
Publisher: John Wiley & Sons
ISBN: 1119015073
Category : Mathematics
Languages : en
Pages : 67
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Book Description
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Author: Volker Dietrich
Publisher: Springer Science & Business Media
ISBN: 9401150362
Category : Mathematics
Languages : en
Pages : 458
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Book Description
Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics.
Author: P. L. Ivanescu
Publisher: Springer
ISBN: 3540348352
Category : Mathematics
Languages : en
Pages : 123
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Book Description
Author: P. L. Hammer
Publisher: Springer Science & Business Media
ISBN: 3642858236
Category : Business & Economics
Languages : en
Pages : 343
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Book Description
In classical analysis, there is a vast difference between the class of problems that may be handled by means of the methods of calculus and the class of problems requiring combinatorial techniques. With the advent of the digital computer, the distinction begins to blur, and with the increasing emphasis on problems involving optimization over structures, tIlE' distinction vanishes. What is necessary for the analytic and computational treatment of significant questions arising in modern control theory, mathematical economics, scheduling theory, operations research, bioengineering, and so forth is a new and more flexible mathematical theory which subsumes both the cla8sical continuous and discrete t 19orithms. The work by HAMMER (IVANESCU) and RUDEANU on Boolean methods represents an important step in this dnectlOn, and it is thus a great pleasure to welcome it into print. It will certainly stimulate a great deal of additional research in both theory and application. RICHARD BELLMAN University of Southern California FOf(,WOl'
Author: Bernan Associates
Publisher:
ISBN: 9789230012557
Category :
Languages : en
Pages :
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Book Description
Author: Edwin Diday
Publisher: Springer Science & Business Media
ISBN: 3642511759
Category : Business & Economics
Languages : en
Pages : 695
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Book Description
The subject of this book is the analysis and processing of structural or quantitative data with emphasis on classification methods, new algorithms as well as applications in various fields related to data analysis and classification. The book presents the state of the art in world-wide research and application of methods from the fields indicated above and consists of survey papers as well as research papers.
