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Titre : An introduction to numerical methods : a matlab approach Type de document : texte imprimé Auteurs : Kharab, Abdelwahab, Auteur ; Guenther, Ronald B, Auteur Editeur : Boca Raton [Etats-Unis] : Chapman & Hall / CRC Année de publication : 2002 Importance : 431 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-1-58488-281-7 Note générale : Bibliogr. 389-391 p. Index
Configuration requise :
Systéme requis : Windows 95,98, 2000, ME, ou NT 4.x; processeur Pentium 1 ou sup. ; 16 MB RAM ; 15 MB d'espace disque ; CD-ROM drive (4x); SVGA moniteur à 800x600, 256 couleursLangues : Français (fre) Mots-clés : Mathématiques Matlab Logiciel
Analyse Numérique
Sytèmes Numération
Systèmes Équation Linéaire
Matlab
Analyse numérique -- Informatique
Matlab (logiciel)Index. décimale : 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. Résumé : Numerical methods are a mainstay of researchers and professionals across the many mathematics, scientific, and engineering disciplines. The importance of these methods combined with the power and widespread availability of desktop computers virtually demands that students in these fields be well-versed not only in the numerical techniques, but also in the use of a modern computational software package.An Introduction to Numerical Methods: A MATLAB Approach fulfills both these needs. Requiring only calculus and some basic programming concepts as background, it introduces readers to the theory and applications of the most commonly used techniques for solving numerical problems on a personal computer. It covers a wide range of useful algorithms, each presented with full details so that readers can visualize and interpret each step. The enclosed CD-ROM contains simple MATLAB functions that provide step-by-step explanations of the mechanisms behind the algorithm for each technique and guide readers through the necessary calculations.Emphasis on understanding how the methods work, a simple, direct style, and thorough coverage make this book an outstanding initiation that allows readers to see almost immediate results. It will boost confidence in the ability to master the subject and provide valuable experience in the use of MATLAB Note de contenu : Contents:
1 Introduction
2 Number System and Errors
3 Roots of Equations
4 System of Linear Equations
5 Interpolation
6 Interpolation with Spline Functions
7 The Method of Least Squares
8 Numerical Differentiation and Integration
9 Numerical Methods for Ordinary Differential Equations
10 Boundary-Value Problems
11 Eigenvalues and Eigenvectors
12 Partial Differential EquationsAn introduction to numerical methods : a matlab approach [texte imprimé] / Kharab, Abdelwahab, Auteur ; Guenther, Ronald B, Auteur . - Boca Raton [Etats-Unis] : Chapman & Hall / CRC, 2002 . - 431 p. : ill. ; 25 cm.
ISBN : 978-1-58488-281-7
Bibliogr. 389-391 p. Index
Configuration requise :
Systéme requis : Windows 95,98, 2000, ME, ou NT 4.x; processeur Pentium 1 ou sup. ; 16 MB RAM ; 15 MB d'espace disque ; CD-ROM drive (4x); SVGA moniteur à 800x600, 256 couleurs
Langues : Français (fre)
Mots-clés : Mathématiques Matlab Logiciel
Analyse Numérique
Sytèmes Numération
Systèmes Équation Linéaire
Matlab
Analyse numérique -- Informatique
Matlab (logiciel)Index. décimale : 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. Résumé : Numerical methods are a mainstay of researchers and professionals across the many mathematics, scientific, and engineering disciplines. The importance of these methods combined with the power and widespread availability of desktop computers virtually demands that students in these fields be well-versed not only in the numerical techniques, but also in the use of a modern computational software package.An Introduction to Numerical Methods: A MATLAB Approach fulfills both these needs. Requiring only calculus and some basic programming concepts as background, it introduces readers to the theory and applications of the most commonly used techniques for solving numerical problems on a personal computer. It covers a wide range of useful algorithms, each presented with full details so that readers can visualize and interpret each step. The enclosed CD-ROM contains simple MATLAB functions that provide step-by-step explanations of the mechanisms behind the algorithm for each technique and guide readers through the necessary calculations.Emphasis on understanding how the methods work, a simple, direct style, and thorough coverage make this book an outstanding initiation that allows readers to see almost immediate results. It will boost confidence in the ability to master the subject and provide valuable experience in the use of MATLAB Note de contenu : Contents:
1 Introduction
2 Number System and Errors
3 Roots of Equations
4 System of Linear Equations
5 Interpolation
6 Interpolation with Spline Functions
7 The Method of Least Squares
8 Numerical Differentiation and Integration
9 Numerical Methods for Ordinary Differential Equations
10 Boundary-Value Problems
11 Eigenvalues and Eigenvectors
12 Partial Differential EquationsRéservation
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Titre : Computational mathematics : models , methods ,and analysis with matlab and MPI Type de document : texte imprimé Auteurs : Robert Ernest White, Auteur Editeur : Boca Raton [Etats-Unis] : Chapman & Hall / CRC Année de publication : 2004 Importance : XVI, 385 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-1-58488-364-7 Note générale : Bibliogr. p. 379-380. - Index Langues : Anglais (eng) Mots-clés : Differential equations, Partial
Computational complexity
MATLAB
Numerical analysis
Computer interfaces
Parallel programming (Computer science)Index. décimale : 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. Résumé : Focuses on multiprocessing algorithms that are implemented using message passing interface (MPI). This title includes Fortran 9x codes that illustrate the basic MPI subroutines. It is suitable for those who need to make numerical modeling and simulation integral parts of their investigational toolbox.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white.
This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.Note de contenu : Summary :
1. Introduction
2. Discrete time-space models
3. Steady state discrete models
4. Poisson equation models
5. Nonlinear and 3d models
6. Epidemics, images and money
7. High performance computing
8. Message passing interface
9. Classical methods for Ax = D
10. Krylov methods for Ax = DComputational mathematics : models , methods ,and analysis with matlab and MPI [texte imprimé] / Robert Ernest White, Auteur . - Boca Raton [Etats-Unis] : Chapman & Hall / CRC, 2004 . - XVI, 385 p. : ill. ; 25 cm.
ISBN : 978-1-58488-364-7
Bibliogr. p. 379-380. - Index
Langues : Anglais (eng)
Mots-clés : Differential equations, Partial
Computational complexity
MATLAB
Numerical analysis
Computer interfaces
Parallel programming (Computer science)Index. décimale : 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. Résumé : Focuses on multiprocessing algorithms that are implemented using message passing interface (MPI). This title includes Fortran 9x codes that illustrate the basic MPI subroutines. It is suitable for those who need to make numerical modeling and simulation integral parts of their investigational toolbox.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white.
This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.Note de contenu : Summary :
1. Introduction
2. Discrete time-space models
3. Steady state discrete models
4. Poisson equation models
5. Nonlinear and 3d models
6. Epidemics, images and money
7. High performance computing
8. Message passing interface
9. Classical methods for Ax = D
10. Krylov methods for Ax = DRéservation
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Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire 047394 519.6 WHI Papier Bibliothèque Centrale Mathématiques Disponible Consultation sur place
Titre : Graphs, algorithms, and optimization Type de document : texte imprimé Auteurs : William Kocay, Auteur ; Donald L. Kreher, Auteur Editeur : Boca Raton [Etats-Unis] : Chapman & Hall / CRC Année de publication : 2005 Collection : Discrete mathematics and its applications Importance : 483 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-1-58488-396-8 Note générale : Bibliogr p. 469-476. Index
Langues : Anglais (eng) Mots-clés : Graphes, Théorie des
Optimisation mathématique
Graph algorithmsIndex. décimale : 519.17 Théorie des graphes
Résumé : A valuable resource for mathematics and computer science students, Graphs, Algorithms and Optimization presents the theory of graphs from an algorithmic viewpoint. The authors cover the key topics in graph theory and introduce discrete optimization and its connection to graph theory. The book contains a wealth of information on algorithms and the data structures needed to program them efficiently. Many programming techniques used for algorithms, algorithmic complexity and efficiency, a chapter on NP-completeness and three chapters on linear optimization are also included. The graph theory presented is rigorous, but the style is informal. Note de contenu :
* Graphs and Their Complements.
* Paths and Walks. Some Special Classes of Graphs.
* Trees and Cycles. The Structure of Trees.
* Connectivity. Matchings. Network Flows.
* Hamilton Cycles.
...Graphs, algorithms, and optimization [texte imprimé] / William Kocay, Auteur ; Donald L. Kreher, Auteur . - Boca Raton [Etats-Unis] : Chapman & Hall / CRC, 2005 . - 483 p. : ill. ; 25 cm. - (Discrete mathematics and its applications) .
ISBN : 978-1-58488-396-8
Bibliogr p. 469-476. Index
Langues : Anglais (eng)
Mots-clés : Graphes, Théorie des
Optimisation mathématique
Graph algorithmsIndex. décimale : 519.17 Théorie des graphes
Résumé : A valuable resource for mathematics and computer science students, Graphs, Algorithms and Optimization presents the theory of graphs from an algorithmic viewpoint. The authors cover the key topics in graph theory and introduce discrete optimization and its connection to graph theory. The book contains a wealth of information on algorithms and the data structures needed to program them efficiently. Many programming techniques used for algorithms, algorithmic complexity and efficiency, a chapter on NP-completeness and three chapters on linear optimization are also included. The graph theory presented is rigorous, but the style is informal. Note de contenu :
* Graphs and Their Complements.
* Paths and Walks. Some Special Classes of Graphs.
* Trees and Cycles. The Structure of Trees.
* Connectivity. Matchings. Network Flows.
* Hamilton Cycles.
...Réservation
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Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire 049707 519.17 KOC Papier Bibliothèque Centrale Mathématiques Disponible En bon état
Titre : Introduction to codig theory Type de document : texte imprimé Auteurs : Jurgen Bierbrauer, Auteur Editeur : Boca Raton [Etats-Unis] : Chapman & Hall / CRC Année de publication : 2005 Collection : Discrete mathematics and its applications Importance : VI-XXIII-390 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-1-58488-421-7 Note générale : Bibliogr. 371-382 p. Index Langues : Français (fre) Mots-clés : Informatique -- Logiciels
Binary Linear
CryptographyIndex. décimale : 681.3.04 Représentation(s) de données. Alphanumériques, codes Résumé : Although its roots lie in information theory, the applications of coding theory now extend to statistics, cryptography, and many areas of pure mathematics, as well as pervading large parts of theoretical computer science, from universal hashing to numerical integration. Introduction to Coding Theory introduces the theory of error-correcting codes in a thorough but gentle presentation. Part I begins with basic concepts, then builds from binary linear codes and Reed-Solomon codes to universal hashing, asymptotic results, and 3-dimensional codes. Part II emphasizes cyclic codes, applications, and the geometric desciption of codes. The author takes a unique, more natural approach to cyclic codes that is not couched in ring theory but by virtue of its simplicity, leads to far-reaching generalizations. Throughout the book, his discussions are packed with applications that include, but reach well beyond, data transmission, with each one introduced as soon as the codes are developed. Although designed as an undergraduate text with myriad exercises, lists of key topics, and chapter summaries, Introduction to Coding Theory explores enough advanced topics to hold equal value as a graduate text and professional reference. Mastering the contents of this book brings a complete understanding of the theory of cyclic codes, including their various applications and the Euclidean algorithm decoding of BCH-codes, and carries readers to the level of the most recent research Note de contenu : Sommaire:
1. The Concept of Coding.
2. Binary Linear Codes.
3. General Linear Codes.
4. Singleton Bound and Reed-Solomon Codes.
5. Recursive Construction.
6. Universal Hashing.
7. Designs and the Binary Golay Code.
8. Shannon Entropy
9. Asymptotic results
10. 3-Dimensional Codes and Projective Planes.
11. Subfield Codes and Trace Codes.
12. Cyclic Codes.
...Introduction to codig theory [texte imprimé] / Jurgen Bierbrauer, Auteur . - Boca Raton [Etats-Unis] : Chapman & Hall / CRC, 2005 . - VI-XXIII-390 p. : ill. ; 24 cm. - (Discrete mathematics and its applications) .
ISBN : 978-1-58488-421-7
Bibliogr. 371-382 p. Index
Langues : Français (fre)
Mots-clés : Informatique -- Logiciels
Binary Linear
CryptographyIndex. décimale : 681.3.04 Représentation(s) de données. Alphanumériques, codes Résumé : Although its roots lie in information theory, the applications of coding theory now extend to statistics, cryptography, and many areas of pure mathematics, as well as pervading large parts of theoretical computer science, from universal hashing to numerical integration. Introduction to Coding Theory introduces the theory of error-correcting codes in a thorough but gentle presentation. Part I begins with basic concepts, then builds from binary linear codes and Reed-Solomon codes to universal hashing, asymptotic results, and 3-dimensional codes. Part II emphasizes cyclic codes, applications, and the geometric desciption of codes. The author takes a unique, more natural approach to cyclic codes that is not couched in ring theory but by virtue of its simplicity, leads to far-reaching generalizations. Throughout the book, his discussions are packed with applications that include, but reach well beyond, data transmission, with each one introduced as soon as the codes are developed. Although designed as an undergraduate text with myriad exercises, lists of key topics, and chapter summaries, Introduction to Coding Theory explores enough advanced topics to hold equal value as a graduate text and professional reference. Mastering the contents of this book brings a complete understanding of the theory of cyclic codes, including their various applications and the Euclidean algorithm decoding of BCH-codes, and carries readers to the level of the most recent research Note de contenu : Sommaire:
1. The Concept of Coding.
2. Binary Linear Codes.
3. General Linear Codes.
4. Singleton Bound and Reed-Solomon Codes.
5. Recursive Construction.
6. Universal Hashing.
7. Designs and the Binary Golay Code.
8. Shannon Entropy
9. Asymptotic results
10. 3-Dimensional Codes and Projective Planes.
11. Subfield Codes and Trace Codes.
12. Cyclic Codes.
...Réservation
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Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire 048151 681.3.04 BIE Papier Bibliothèque Centrale Informatique Disponible Markov chain Monte Carlo in practice (1996)
Titre : Markov chain Monte Carlo in practice Type de document : texte imprimé Auteurs : Gilks, W. R., Éditeur scientifique ; Richardson, Sylvia, Éditeur scientifique ; Spiegelhalter, D. J., Éditeur scientifique Editeur : Boca Raton [Etats-Unis] : Chapman & Hall / CRC Année de publication : 1996 Importance : XVII, 486 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-412-05551-5 Note générale : Première réimpression de CRC Press en 1998. - La couv. porte aussi : "Interdisciplinary statistics" . - Bibliogr. en fin de chapitre. - Index Langues : Français (fre) Mots-clés : Markov processes
Monte Carlo method
Medical statistics
Biometry
Marches aléatoires (mathématiques)
Biométrie
Statistique médicale
Markov, Processus de
Monte-Carlo, Méthode deIndex. décimale : 519.217 Processus de Markov Résumé : In a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in Austria place a Bronze Age site in its true temporal location on the calendar scale. And in France, researchers map a rare disease with relatively little variation.Each of these studies applied Markov chain Monte Carlo methods to produce more accurate and inclusive results. General state-space Markov chain theory has seen several developments that have made it both more accessible and more powerful to the general statistician. Markov Chain Monte Carlo in Practice introduces MCMC methods and their applications, providing some theoretical background as well. The authors are researchers who have made key contributions in the recent development of MCMC methodology and its application. Considering the broad audience, the editors emphasize practice rather than theory, keeping the technical content to a minimum. The examples range from the simplest application, Gibbs sampling, to more complex applications. The first chapter contains enough information to allow the reader to start applying MCMC in a basic way. The following chapters cover main issues, important concepts and results, techniques for implementing MCMC, improving its performance, assessing model adequacy, choosing between models, and applications and their domains.Markov Chain Monte Carlo in Practice is a thorough, clear introduction to the methodology and applications of this simple idea with enormous potential. It shows the importance of MCMC in real applications, such as archaeology, astronomy, biostatistics, genetics, epidemiology, and image analysis, and provides an excellent base for MCMC to be applied to other fields as well. Note de contenu : Summary :
1. Introducing markov chain monte carlo
2. Hepatitis b: a case study in mcmc methods
3. Markov chain concepts related to sampling algorithms
4. Introduction to general state-space markov chain theory
5. Full conditional distributions
6. Strategies for improving mcmc
7. Implementing mcmc
8. Inference and monitoring convergence
9. Model determination using sampling-based methods
10. Hypothesis testing and model selection
11. Model checking and model improvement
12. Stochastic search variable selection
13. Bayesian model comparison via jump diffusions
14. Estimation and optimization of functions
15. Stochastic em: method and application
16. Generalized linear mixed models
17. Hierarchical longitudinal modelling
18. Medical monitoring
19. Mcmc for nonlinear hierarchical models
20. Bayesian mapping of disease
21. Mcmc in image analysis
22. Measurement error
23. Gibbs sampling methods in genetics
24. Mcmc maximum likelihood
25. Mixtures of distributions: inference and estimation
26. An archaeological example: radiocarbon datingMarkov chain Monte Carlo in practice [texte imprimé] / Gilks, W. R., Éditeur scientifique ; Richardson, Sylvia, Éditeur scientifique ; Spiegelhalter, D. J., Éditeur scientifique . - Boca Raton [Etats-Unis] : Chapman & Hall / CRC, 1996 . - XVII, 486 p. : ill. ; 25 cm.
ISBN : 978-0-412-05551-5
Première réimpression de CRC Press en 1998. - La couv. porte aussi : "Interdisciplinary statistics" . - Bibliogr. en fin de chapitre. - Index
Langues : Français (fre)
Mots-clés : Markov processes
Monte Carlo method
Medical statistics
Biometry
Marches aléatoires (mathématiques)
Biométrie
Statistique médicale
Markov, Processus de
Monte-Carlo, Méthode deIndex. décimale : 519.217 Processus de Markov Résumé : In a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in Austria place a Bronze Age site in its true temporal location on the calendar scale. And in France, researchers map a rare disease with relatively little variation.Each of these studies applied Markov chain Monte Carlo methods to produce more accurate and inclusive results. General state-space Markov chain theory has seen several developments that have made it both more accessible and more powerful to the general statistician. Markov Chain Monte Carlo in Practice introduces MCMC methods and their applications, providing some theoretical background as well. The authors are researchers who have made key contributions in the recent development of MCMC methodology and its application. Considering the broad audience, the editors emphasize practice rather than theory, keeping the technical content to a minimum. The examples range from the simplest application, Gibbs sampling, to more complex applications. The first chapter contains enough information to allow the reader to start applying MCMC in a basic way. The following chapters cover main issues, important concepts and results, techniques for implementing MCMC, improving its performance, assessing model adequacy, choosing between models, and applications and their domains.Markov Chain Monte Carlo in Practice is a thorough, clear introduction to the methodology and applications of this simple idea with enormous potential. It shows the importance of MCMC in real applications, such as archaeology, astronomy, biostatistics, genetics, epidemiology, and image analysis, and provides an excellent base for MCMC to be applied to other fields as well. Note de contenu : Summary :
1. Introducing markov chain monte carlo
2. Hepatitis b: a case study in mcmc methods
3. Markov chain concepts related to sampling algorithms
4. Introduction to general state-space markov chain theory
5. Full conditional distributions
6. Strategies for improving mcmc
7. Implementing mcmc
8. Inference and monitoring convergence
9. Model determination using sampling-based methods
10. Hypothesis testing and model selection
11. Model checking and model improvement
12. Stochastic search variable selection
13. Bayesian model comparison via jump diffusions
14. Estimation and optimization of functions
15. Stochastic em: method and application
16. Generalized linear mixed models
17. Hierarchical longitudinal modelling
18. Medical monitoring
19. Mcmc for nonlinear hierarchical models
20. Bayesian mapping of disease
21. Mcmc in image analysis
22. Measurement error
23. Gibbs sampling methods in genetics
24. Mcmc maximum likelihood
25. Mixtures of distributions: inference and estimation
26. An archaeological example: radiocarbon datingRéservation
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