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Título : Convex and Discrete Geometry Tipo de documento: documento electrónico Autores: Peter M. Gruber ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Colección: A Series of Comprehensive Studies in Mathematics, ISSN 0072-7830 num. 336 Número de páginas: XIV, 580 p. 67 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-71133-9 Idioma : Inglés (eng) Palabras clave: Mathematics Convex geometry Discrete and Geometry Clasificación: 51 Matemáticas Resumen: Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields Nota de contenido: Convex Functions -- Convex Bodies -- Convex Polytopes -- Geometry of Numbers and Aspects of Discrete Geometry En línea: http://dx.doi.org/10.1007/978-3-540-71133-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34658 Convex and Discrete Geometry [documento electrónico] / Peter M. Gruber ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - XIV, 580 p. 67 illus : online resource. - (A Series of Comprehensive Studies in Mathematics, ISSN 0072-7830; 336) .
ISBN : 978-3-540-71133-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Convex geometry Discrete and Geometry Clasificación: 51 Matemáticas Resumen: Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields Nota de contenido: Convex Functions -- Convex Bodies -- Convex Polytopes -- Geometry of Numbers and Aspects of Discrete Geometry En línea: http://dx.doi.org/10.1007/978-3-540-71133-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34658 Ejemplares
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Título : Convex Functions and Their Applications : A Contemporary Approach Tipo de documento: documento electrónico Autores: Constantin P. Niculescu ; SpringerLink (Online service) ; Lars Erik Persson Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Otro editor: Imprint: Springer Colección: CMS Books in Mathematics, ISSN 1613-5237 Número de páginas: XVI, 256 p Il.: online resource ISBN/ISSN/DL: 978-0-387-31077-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Functions of real variables Convex geometry Discrete Real Analysis and Geometry Clasificación: 51 Matemáticas Resumen: Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors’ own experience, both in teaching and research. About the authors: Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear Analysis and Its Applications and also the graduate program in Applied Mathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynamical Systems, and has received several prizes both for research and exposition. Lars Erik Persson is Professor of Mathematics at Luleå University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Luleå, a member of the Swedish National Committee of Mathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from Umeå University in 1974. Dr. Persson has published on interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has received several prizes both for research and teaching Nota de contenido: Convex Functions on Intervals -- Comparative Convexity on Intervals -- Convex Functions on a Normed Linear Space -- Choquet’s Theory and Beyond En línea: http://dx.doi.org/10.1007/0-387-31077-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34781 Convex Functions and Their Applications : A Contemporary Approach [documento electrónico] / Constantin P. Niculescu ; SpringerLink (Online service) ; Lars Erik Persson . - New York, NY : Springer New York : Imprint: Springer, 2006 . - XVI, 256 p : online resource. - (CMS Books in Mathematics, ISSN 1613-5237) .
ISBN : 978-0-387-31077-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Functions of real variables Convex geometry Discrete Real Analysis and Geometry Clasificación: 51 Matemáticas Resumen: Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors’ own experience, both in teaching and research. About the authors: Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear Analysis and Its Applications and also the graduate program in Applied Mathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynamical Systems, and has received several prizes both for research and exposition. Lars Erik Persson is Professor of Mathematics at Luleå University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Luleå, a member of the Swedish National Committee of Mathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from Umeå University in 1974. Dr. Persson has published on interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has received several prizes both for research and teaching Nota de contenido: Convex Functions on Intervals -- Comparative Convexity on Intervals -- Convex Functions on a Normed Linear Space -- Choquet’s Theory and Beyond En línea: http://dx.doi.org/10.1007/0-387-31077-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34781 Ejemplares
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Título : Convex Polyhedra Tipo de documento: documento electrónico Autores: A.D. Alexandrov ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2005 Colección: Springer Monographs in Mathematics, ISSN 1439-7382 Número de páginas: XII, 542 p. 165 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-26340-1 Idioma : Inglés (eng) Palabras clave: Mathematics Visualization Convex geometry Discrete and Geometry Clasificación: 51 Matemáticas Resumen: Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to a polyhedron, e.g. the lengths of edges, areas of faces, etc. This vital and clearly written book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. It is a wonderful source of ideas for students. The English edition includes numerous comments as well as added material and a comprehensive bibliography by V.A. Zalgaller to bring the work up to date. Moreover, related papers by L.A.Shor and Yu.A.Volkov have been added as supplements to this book Nota de contenido: Basic Concepts and Simplest Properties of Convex Polyhedra -- Methods and Results -- Uniqueness of Polyhedra with Prescribed Development -- Existence of Polyhedra with Prescribed Development -- Gluing and Flexing Polyhedra with Boundary -- Congruence Conditions for Polyhedra with Parallel Faces -- Existence Theorems for Polyhedra with Prescribed Face Directions -- Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems -- Polyhedra with Vertices on Prescribed Rays -- Infinitesimal Rigidity of Convex Polyhedra with Stationary Development -- Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions -- Supplements En línea: http://dx.doi.org/10.1007/b137434 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35234 Convex Polyhedra [documento electrónico] / A.D. Alexandrov ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2005 . - XII, 542 p. 165 illus : online resource. - (Springer Monographs in Mathematics, ISSN 1439-7382) .
ISBN : 978-3-540-26340-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Visualization Convex geometry Discrete and Geometry Clasificación: 51 Matemáticas Resumen: Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to a polyhedron, e.g. the lengths of edges, areas of faces, etc. This vital and clearly written book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. It is a wonderful source of ideas for students. The English edition includes numerous comments as well as added material and a comprehensive bibliography by V.A. Zalgaller to bring the work up to date. Moreover, related papers by L.A.Shor and Yu.A.Volkov have been added as supplements to this book Nota de contenido: Basic Concepts and Simplest Properties of Convex Polyhedra -- Methods and Results -- Uniqueness of Polyhedra with Prescribed Development -- Existence of Polyhedra with Prescribed Development -- Gluing and Flexing Polyhedra with Boundary -- Congruence Conditions for Polyhedra with Parallel Faces -- Existence Theorems for Polyhedra with Prescribed Face Directions -- Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems -- Polyhedra with Vertices on Prescribed Rays -- Infinitesimal Rigidity of Convex Polyhedra with Stationary Development -- Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions -- Supplements En línea: http://dx.doi.org/10.1007/b137434 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35234 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Geometry — Intuitive, Discrete, and Convex / SpringerLink (Online service) ; Imre Bárány ; Károly J. Böröczky ; Gábor Fejes Tóth ; János Pach (2013)
Título : Geometry — Intuitive, Discrete, and Convex : A Tribute to László Fejes Tóth Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Imre Bárány ; Károly J. Böröczky ; Gábor Fejes Tóth ; János Pach Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Bolyai Society Mathematical Studies, ISSN 1217-4696 num. 24 Número de páginas: 390 p Il.: online resource ISBN/ISSN/DL: 978-3-642-41498-5 Idioma : Inglés (eng) Palabras clave: Mathematics Convex geometry Discrete Polytopes Topology Combinatorics and Geometry Clasificación: 51 Matemáticas Resumen: The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth Nota de contenido: Contents -- Preface -- Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra -- Bezdek, K.: Tarski's Plank Problem Revisited -- Bezdek, A. and Kupperbeck, W.: Dense Packing of Space with Various Convex Solids -- Brass, P.: Geometric Problems on Coverage in Sensor Networks -- Gruber, P.M.: Applications of an Idea of Voronoi, a Report -- Grünbaum, B.: Uniform Polyhedrals -- Holmsen, A.F.: Geometric Transversal Theory: T-(3)-families in the Plane -- Montejano, L.: Transversals, Topology and Colorful Geometric Results -- Pach, J. Pálvölgyi, D. and Tóth, G.: Survey on Decomposition of Multiple Coverings -- Schaefer, M.: Hanani-Tutte and Related Results -- Schneider, R.: Extremal Properties of Random Mosaics -- Smorodinsky, S.: Conflict-Free Coloring and its Applications En línea: http://dx.doi.org/10.1007/978-3-642-41498-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32607 Geometry — Intuitive, Discrete, and Convex : A Tribute to László Fejes Tóth [documento electrónico] / SpringerLink (Online service) ; Imre Bárány ; Károly J. Böröczky ; Gábor Fejes Tóth ; János Pach . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013 . - 390 p : online resource. - (Bolyai Society Mathematical Studies, ISSN 1217-4696; 24) .
ISBN : 978-3-642-41498-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Convex geometry Discrete Polytopes Topology Combinatorics and Geometry Clasificación: 51 Matemáticas Resumen: The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth Nota de contenido: Contents -- Preface -- Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra -- Bezdek, K.: Tarski's Plank Problem Revisited -- Bezdek, A. and Kupperbeck, W.: Dense Packing of Space with Various Convex Solids -- Brass, P.: Geometric Problems on Coverage in Sensor Networks -- Gruber, P.M.: Applications of an Idea of Voronoi, a Report -- Grünbaum, B.: Uniform Polyhedrals -- Holmsen, A.F.: Geometric Transversal Theory: T-(3)-families in the Plane -- Montejano, L.: Transversals, Topology and Colorful Geometric Results -- Pach, J. Pálvölgyi, D. and Tóth, G.: Survey on Decomposition of Multiple Coverings -- Schaefer, M.: Hanani-Tutte and Related Results -- Schneider, R.: Extremal Properties of Random Mosaics -- Smorodinsky, S.: Conflict-Free Coloring and its Applications En línea: http://dx.doi.org/10.1007/978-3-642-41498-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32607 Ejemplares
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Título : Selected Topics in Convex Geometry Tipo de documento: documento electrónico Autores: Maria Moszynska ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Número de páginas: XVIII, 226 p. 30 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4451-2 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Measure Applied mathematics Engineering Convex geometry Discrete Topology and Geometry Applications of Integration Linear Multilinear Algebras, Theory Clasificación: 51 Matemáticas Resumen: The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enriched by numerous examples, illustrations, and exercises, with a good bibliography and index. The theory of intrinsic volumes for convex bodies, along with the Hadwiger characterization theorems, whose proofs are based on beautiful geometric ideas such as the rounding theorems and the Steiner formula, are treated in Part 1. In Part 2 the reader is given a survey on curvature and surface area measures and extensions of the class of convex bodies. Part 3 is devoted to the important class of star bodies and selectors for convex and star bodies, including a presentation of two famous problems of geometric tomography: the Shephard problem and the Busemann–Petty problem. Selected Topics in Convex Geometry requires of the reader only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory. The book can be used in the classroom setting for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization. Researchers in pure and applied areas will also benefit from the book Nota de contenido: I -- Metric Spaces -- Subsets of Euclidean Space -- Basic Properties of Convex Sets -- Transformations of the Space Kn of Compact Convex Sets -- Rounding Theorems -- Convex Polytopes -- Functionals on the Space Kn. The Steiner Theorem -- The Hadwiger Theorems -- Applications of the Hadwiger Theorems -- II -- Curvature and Surface Area Measures -- Sets with positive reach. Convexity ring -- Selectors for Convex Bodies -- Polarity -- III -- Star Sets. Star Bodies -- Intersection Bodies -- Selectors for Star Bodies En línea: http://dx.doi.org/10.1007/0-8176-4451-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34855 Selected Topics in Convex Geometry [documento electrónico] / Maria Moszynska ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston, 2006 . - XVIII, 226 p. 30 illus : online resource.
ISBN : 978-0-8176-4451-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Measure Applied mathematics Engineering Convex geometry Discrete Topology and Geometry Applications of Integration Linear Multilinear Algebras, Theory Clasificación: 51 Matemáticas Resumen: The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enriched by numerous examples, illustrations, and exercises, with a good bibliography and index. The theory of intrinsic volumes for convex bodies, along with the Hadwiger characterization theorems, whose proofs are based on beautiful geometric ideas such as the rounding theorems and the Steiner formula, are treated in Part 1. In Part 2 the reader is given a survey on curvature and surface area measures and extensions of the class of convex bodies. Part 3 is devoted to the important class of star bodies and selectors for convex and star bodies, including a presentation of two famous problems of geometric tomography: the Shephard problem and the Busemann–Petty problem. Selected Topics in Convex Geometry requires of the reader only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory. The book can be used in the classroom setting for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization. Researchers in pure and applied areas will also benefit from the book Nota de contenido: I -- Metric Spaces -- Subsets of Euclidean Space -- Basic Properties of Convex Sets -- Transformations of the Space Kn of Compact Convex Sets -- Rounding Theorems -- Convex Polytopes -- Functionals on the Space Kn. The Steiner Theorem -- The Hadwiger Theorems -- Applications of the Hadwiger Theorems -- II -- Curvature and Surface Area Measures -- Sets with positive reach. Convexity ring -- Selectors for Convex Bodies -- Polarity -- III -- Star Sets. Star Bodies -- Intersection Bodies -- Selectors for Star Bodies En línea: http://dx.doi.org/10.1007/0-8176-4451-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34855 Ejemplares
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