Advanced Materials for Radiation Detection / Krzysztof (Kris) Iniewski (2022) / 978-3-030-76463-0

Public ISBD Titre : Advanced Materials for Radiation Detection Type de document : texte imprimé Auteurs : Krzysztof (Kris) Iniewski Editeur : Springer Année de publication : 2022 Importance : 356p. Présentation : couv.ill. Format : 6.1 x 0.82 x 9.25 inches ISBN/ISSN/EAN : 978-3-030-76463-0 Langues : Anglais (eng) Langues originales : Anglais (eng) Catégories : 53 - Physique:539 Nature physique de la matière Tags : Détection de rayonnement  Radiation detection. Index. décimale : 539.1 Résumé : This book offers readers an overview of some of the most recent advances in the field of advanced materials used for gamma and X-ray imaging. Coverage includes both technology and applications, with an in-depth review of the research topics from leading specialists in the field. Emphasis is on high-Z materials like CdTe, CZT and GaAs, as well as perovskite crystals, since they offer the best implementation possibilities for direct conversion X-ray detectors. Authors discuss material challenges, detector operation physics and technology and readout integrated circuits required to detect signals processes by high-Z sensors. Advanced Materials for Radiation Detection [texte imprimé] / Krzysztof (Kris) Iniewski . - Springer, 2022 . - 356p. : couv.ill. ; 6.1 x 0.82 x 9.25 inches. ISBN : 978-3-030-76463-0 Langues : Anglais (eng) Langues originales : Anglais (eng) Catégories : 53 - Physique:539 Nature physique de la matière Tags : Détection de rayonnement  Radiation detection. Index. décimale : 539.1 Résumé : This book offers readers an overview of some of the most recent advances in the field of advanced materials used for gamma and X-ray imaging. Coverage includes both technology and applications, with an in-depth review of the research topics from leading specialists in the field. Emphasis is on high-Z materials like CdTe, CZT and GaAs, as well as perovskite crystals, since they offer the best implementation possibilities for direct conversion X-ray detectors. Authors discuss material challenges, detector operation physics and technology and readout integrated circuits required to detect signals processes by high-Z sensors.

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Combinatorial Optimization / Bernhard Korte (2018) / 978-3-662-58566-5

Public ISBD Titre : Combinatorial Optimization : Theory and Algorithms:Algorithms and Combinatorics Book 21 Type de document : texte imprimé Auteurs : Bernhard Korte, Auteur ; Jens Vygen, Auteur Mention d'édition : SIXTH EDITION. Editeur : Springer Année de publication : 2018 Importance : 719 p. Présentation : couv.coul. Format : 25cm ISBN/ISSN/EAN : 978-3-662-58566-5 Langues : Anglais (eng) Catégories : 51 Mathématiques :519.8 Recherche opérationnelle Tags : optimisation combinatoire  théorie des graphes  algorithmes  programmation linéaire  programmation entière  couplages  arbres couvrants  flots  tournées de véhicules  recherche opérationnelle  applications. Index. décimale : 519.85 Résumé : This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references. This sixth edition has again been updated, revised, and significantly extended. Among other additions, there are new sections on shallow-light trees, submodular function maximization, smoothed analysis of the knapsack problem, the (ln 4+ɛ)-approximation for Steiner trees, and the VPN theorem. Thus, this book continues torepresent the state of the art of combinatorial optimization. Combinatorial Optimization : Theory and Algorithms:Algorithms and Combinatorics Book 21 [texte imprimé] / Bernhard Korte, Auteur ; Jens Vygen, Auteur  . -  SIXTH EDITION. . - Springer, 2018 . - 719 p. : couv.coul. ; 25cm. ISBN : 978-3-662-58566-5 Langues : Anglais (eng) Catégories : 51 Mathématiques :519.8 Recherche opérationnelle Tags : optimisation combinatoire  théorie des graphes  algorithmes  programmation linéaire  programmation entière  couplages  arbres couvrants  flots  tournées de véhicules  recherche opérationnelle  applications. Index. décimale : 519.85 Résumé : This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references. This sixth edition has again been updated, revised, and significantly extended. Among other additions, there are new sections on shallow-light trees, submodular function maximization, smoothed analysis of the knapsack problem, the (ln 4+ɛ)-approximation for Steiner trees, and the VPN theorem. Thus, this book continues torepresent the state of the art of combinatorial optimization.

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Differential Geometry / Victor V. Prasolov (2022) / 978-3-030-92251-1

Public ISBD Titre : Differential Geometry Type de document : texte imprimé Auteurs : Victor V. Prasolov, Auteur ; Olga Sipacheva, Auteur Editeur : Springer Année de publication : 2022 Autre Editeur : moscow [Russia] : SKoltech Importance : 271p. Présentation : couv:ill. Format : 20cm ISBN/ISSN/EAN : 978-3-030-92251-1 Langues : Anglais (eng) Index. décimale : 514.7 Résumé : This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces. The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups. Differential Geometry [texte imprimé] / Victor V. Prasolov, Auteur ; Olga Sipacheva, Auteur . - Springer : moscow [Russia] : SKoltech, 2022 . - 271p. : couv:ill. ; 20cm. ISBN : 978-3-030-92251-1 Langues : Anglais (eng) Index. décimale : 514.7 Résumé : This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces. The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.

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Essential Ordinary Differential Equations / Robert Magnus (2023) / 978-3-031-11530-1

Public ISBD Titre : Essential Ordinary Differential Equations Type de document : texte imprimé Auteurs : Robert Magnus Editeur : Springer Année de publication : 2023 Collection : Springer Undergraduate Mathematics Series Importance : 238p. Présentation : couv.ill Format : 24cm. ISBN/ISSN/EAN : 978-3-031-11530-1 Langues : Anglais (eng) Langues originales : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Tags : Équations différentielles ordinaires  Méthodes de résolution  Approche pratique  Modélisation  Applications scientifiques  Analyse qualitative  Sciences appliquées Index. décimale : 517.92 Résumé : Arnol'd's ODE book distinguishes itself from the dozens of others by its emphasis on the qualitative and geometric theory rather than the quantitative theory. His aim is to analyze and describe the behavior of systems, rather than providing a collection of unexplained tricks for solving specific equations. Thus, there are plenty of examples and figures, but no complicated formulas. Arnol'd is known by mathematicians and students both for his mathematical skills and for his talent for mathematical writing. Essential Ordinary Differential Equations [texte imprimé] / Robert Magnus . - Springer, 2023 . - 238p. : couv.ill ; 24cm.. - (Springer Undergraduate Mathematics Series) . ISBN : 978-3-031-11530-1 Langues : Anglais (eng) Langues originales : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Tags : Équations différentielles ordinaires  Méthodes de résolution  Approche pratique  Modélisation  Applications scientifiques  Analyse qualitative  Sciences appliquées Index. décimale : 517.92 Résumé : Arnol'd's ODE book distinguishes itself from the dozens of others by its emphasis on the qualitative and geometric theory rather than the quantitative theory. His aim is to analyze and describe the behavior of systems, rather than providing a collection of unexplained tricks for solving specific equations. Thus, there are plenty of examples and figures, but no complicated formulas. Arnol'd is known by mathematicians and students both for his mathematical skills and for his talent for mathematical writing.

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Fundamentals of Partial Differential Equations / Atul Kumar Razdan (2022) / 978-981-16-9864-4

Public ISBD Titre : Fundamentals of Partial Differential Equations Type de document : texte imprimé Auteurs : Atul Kumar Razdan ; V. Ravichandran Editeur : Springer Année de publication : 2022 Importance : 551p. Présentation : couv.coul. Format : 24cm ISBN/ISSN/EAN : 978-981-16-9864-4 Langues : Anglais (eng) Langues originales : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Tags : Équations aux dérivées partielles  EDP elliptiques  EDP paraboliques  EDP hyperboliques  Méthodes de résolution  Mathématiques appliquées  Physique mathématique. Index. décimale : 517.95 Résumé : est un ouvrage pédagogique consacré aux bases théoriques et méthodologiques des équations aux dérivées partielles. Le livre présente de manière structurée les principaux types d’EDP (elliptiques, paraboliques et hyperboliques), les méthodes classiques de résolution, ainsi que des exemples et applications issus de la physique et de l’ingénierie. Destiné aux étudiants de premier et second cycles universitaires, l’ouvrage met l’accent sur la compréhension des concepts fondamentaux, la rigueur mathématique et la résolution de problèmes types. Fundamentals of Partial Differential Equations [texte imprimé] / Atul Kumar Razdan ; V. Ravichandran . - Springer, 2022 . - 551p. : couv.coul. ; 24cm. ISBN : 978-981-16-9864-4 Langues : Anglais (eng) Langues originales : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Tags : Équations aux dérivées partielles  EDP elliptiques  EDP paraboliques  EDP hyperboliques  Méthodes de résolution  Mathématiques appliquées  Physique mathématique. Index. décimale : 517.95 Résumé : est un ouvrage pédagogique consacré aux bases théoriques et méthodologiques des équations aux dérivées partielles. Le livre présente de manière structurée les principaux types d’EDP (elliptiques, paraboliques et hyperboliques), les méthodes classiques de résolution, ainsi que des exemples et applications issus de la physique et de l’ingénierie. Destiné aux étudiants de premier et second cycles universitaires, l’ouvrage met l’accent sur la compréhension des concepts fondamentaux, la rigueur mathématique et la résolution de problèmes types.

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Geometry of Continued Fractions: 26 (Algorithms and Computation in Mathematics / Oleg N. Karpenkov (2022) / 978-3-662-65276-3

Public ISBD Titre : Geometry of Continued Fractions: 26 (Algorithms and Computation in Mathematics Type de document : texte imprimé Auteurs : Oleg N. Karpenkov Mention d'édition : 2nd ed. Editeur : Springer Année de publication : 2022 Importance : 451p. Présentation : Hardcover Format : 24cm ISBN/ISSN/EAN : 978-3-662-65276-3 Langues : Anglais (eng) Langues originales : Anglais (eng) Résumé : The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses. Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions.- Chapter 2. On integer geometry.- Chapter 3. Geometry of regular continued fractions.- Chapter 4. Complete invariant of integer angles.- Chapter 5. Integer trigonometry for integer angles.- Chapter 6. Integer angles of integer triangles.- Chapter 7. Quadratic forms and Makov spectrum..- Chapter 8. Geometric continued fractions.- Chapter 9. Continuant representation of GL(2,Z) Matrices.- Chapter 10. Semigroup of Reduced Matrices.- Chapter 11. Elements of Gauss reduction theory.- Chapter 12. Lagrange's theorem.- Gauss-Kuzmin statistics.- Chapter 14. Geometric aspects of approximation.- Chapter 15. Geometry of continued fractions with real elements and Kepler's second law.- Chapter 16. Extended integer angles and their summation.- Chapter 17. Integer angles of polygons and global relations for toric singularities.- Part II. Multidimensional continued fractions.- Chapter 18. Basic notations and definitions of multidimensional integer geometry.- Chapter 19. On empty simplices, pyramids, parallelepipeds.- Chapter 20. Multidimensional continued fractions in the sense of Klein.- Chapter 21. Dirichlet groups and lattice reduction.- Chapter 22. Periodicity of Klein polyhedral. Generalization of Lagrange's Theorem.- Chapter 23. Multidimensional Gauss-Kuzmin Statistics.- Chapter 24. On the construction of multidimensional continued fractions.- Chapter 25. Gauss reduction in higher dimensions. Chapter 26. Approximation of maximal commutative subgroups.- Capter 27. Other generalizations of continued fractions. References. Index. Oleg Karpenkov is a mathematician at the University of Liverpool (UK), working in the general area of discrete geometry and its applications. More specifically, his research interests include geometry of numbers, discrete and semi-discrete differential geometry and self-stressed configurations of graphs. Oleg has completed his Ph.D. at Moscow State University under the supervision of Vladimir Arnold in 2005. Further he held several postdoctoral positions in Paris (Fellowship of the Mairie de Paris), Leiden, and Graz (Lise Meitner Fellowship) before arriving in Liverpool in 2012. In 2013 he published a book "Geometry of Continued Fractions" (its extended second edition will be available soon). Currently his Erdos number is 3. Geometry of Continued Fractions: 26 (Algorithms and Computation in Mathematics [texte imprimé] / Oleg N. Karpenkov  . -  2nd ed. . - Springer, 2022 . - 451p. : Hardcover ; 24cm. ISBN : 978-3-662-65276-3 Langues : Anglais (eng) Langues originales : Anglais (eng) Résumé : The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses. Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions.- Chapter 2. On integer geometry.- Chapter 3. Geometry of regular continued fractions.- Chapter 4. Complete invariant of integer angles.- Chapter 5. Integer trigonometry for integer angles.- Chapter 6. Integer angles of integer triangles.- Chapter 7. Quadratic forms and Makov spectrum..- Chapter 8. Geometric continued fractions.- Chapter 9. Continuant representation of GL(2,Z) Matrices.- Chapter 10. Semigroup of Reduced Matrices.- Chapter 11. Elements of Gauss reduction theory.- Chapter 12. Lagrange's theorem.- Gauss-Kuzmin statistics.- Chapter 14. Geometric aspects of approximation.- Chapter 15. Geometry of continued fractions with real elements and Kepler's second law.- Chapter 16. Extended integer angles and their summation.- Chapter 17. Integer angles of polygons and global relations for toric singularities.- Part II. Multidimensional continued fractions.- Chapter 18. Basic notations and definitions of multidimensional integer geometry.- Chapter 19. On empty simplices, pyramids, parallelepipeds.- Chapter 20. Multidimensional continued fractions in the sense of Klein.- Chapter 21. Dirichlet groups and lattice reduction.- Chapter 22. Periodicity of Klein polyhedral. Generalization of Lagrange's Theorem.- Chapter 23. Multidimensional Gauss-Kuzmin Statistics.- Chapter 24. On the construction of multidimensional continued fractions.- Chapter 25. Gauss reduction in higher dimensions. Chapter 26. Approximation of maximal commutative subgroups.- Capter 27. Other generalizations of continued fractions. References. Index. Oleg Karpenkov is a mathematician at the University of Liverpool (UK), working in the general area of discrete geometry and its applications. More specifically, his research interests include geometry of numbers, discrete and semi-discrete differential geometry and self-stressed configurations of graphs. Oleg has completed his Ph.D. at Moscow State University under the supervision of Vladimir Arnold in 2005. Further he held several postdoctoral positions in Paris (Fellowship of the Mairie de Paris), Leiden, and Graz (Lise Meitner Fellowship) before arriving in Liverpool in 2012. In 2013 he published a book "Geometry of Continued Fractions" (its extended second edition will be available soon). Currently his Erdos number is 3.

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