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Link de la búsquedaGeometry and Dynamics of Groups and Spaces / SpringerLink (Online service) ; Mikhail Kapranov ; Yuri Ivanovich Manin ; Pieter Moree ; Sergiy Kolyada ; Potyagailo, Leonid (2008)
Título : Geometry and Dynamics of Groups and Spaces : In Memory of Alexander Reznikov Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Mikhail Kapranov ; Yuri Ivanovich Manin ; Pieter Moree ; Sergiy Kolyada ; Potyagailo, Leonid Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Progress in Mathematics num. 265 Número de páginas: XXIX, 742 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8608-5 Idioma : Inglés (eng) Palabras clave: Mathematics Topological groups Lie Dynamics Ergodic theory Geometry Differential geometry Algebraic topology Groups, Groups Dynamical Systems and Theory Topology Clasificación: 51 Matemáticas Nota de contenido: Analytic Topology of Groups, Actions, Strings and Varieties -- Analytic Topology of Groups, Actions, Strings and Varieties -- Research Articles -- Jørgensen’s Inequality for Non-Archimedean Metric Spaces -- The Hypoelliptic Dirac Operator -- Generalized Operads and Their Inner Cohomomorphisms -- Chern Character for Twisted Complexes -- (C, F)-Actions in Ergodic Theory -- Homomorphic Images of Branch Groups, and Serre’s Property (FA) -- On Nori’s Fundamental Group Scheme -- The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite -- Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc -- Geodesic Flow on the Normal Congruence of a Minimal Surface -- The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem -- Kleinian Groups in Higher Dimensions -- A ?-bimodules and Serre A ?-functors -- Geometrization of Probability -- Milnor Invariants and l-Class Groups -- Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces -- Quantum p-adic Spaces and Quantum p-adic Groups -- Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field En línea: http://dx.doi.org/10.1007/978-3-7643-8608-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34399 Geometry and Dynamics of Groups and Spaces : In Memory of Alexander Reznikov [documento electrónico] / SpringerLink (Online service) ; Mikhail Kapranov ; Yuri Ivanovich Manin ; Pieter Moree ; Sergiy Kolyada ; Potyagailo, Leonid . - Basel : Birkhäuser Basel, 2008 . - XXIX, 742 p : online resource. - (Progress in Mathematics; 265) .
ISBN : 978-3-7643-8608-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Topological groups Lie Dynamics Ergodic theory Geometry Differential geometry Algebraic topology Groups, Groups Dynamical Systems and Theory Topology Clasificación: 51 Matemáticas Nota de contenido: Analytic Topology of Groups, Actions, Strings and Varieties -- Analytic Topology of Groups, Actions, Strings and Varieties -- Research Articles -- Jørgensen’s Inequality for Non-Archimedean Metric Spaces -- The Hypoelliptic Dirac Operator -- Generalized Operads and Their Inner Cohomomorphisms -- Chern Character for Twisted Complexes -- (C, F)-Actions in Ergodic Theory -- Homomorphic Images of Branch Groups, and Serre’s Property (FA) -- On Nori’s Fundamental Group Scheme -- The Reidemeister Number of Any Automorphism of a Baumslag-Solitar Group is Infinite -- Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc -- Geodesic Flow on the Normal Congruence of a Minimal Surface -- The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem -- Kleinian Groups in Higher Dimensions -- A ?-bimodules and Serre A ?-functors -- Geometrization of Probability -- Milnor Invariants and l-Class Groups -- Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfaces -- Quantum p-adic Spaces and Quantum p-adic Groups -- Convolution Equations on Lattices: Periodic Solutions with Values in a Prime Characteristic Field En línea: http://dx.doi.org/10.1007/978-3-7643-8608-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34399 Ejemplares
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Título : Geometry and Physics Tipo de documento: documento electrónico Autores: Jürgen Jost ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Número de páginas: XIV, 217 p Il.: online resource ISBN/ISSN/DL: 978-3-642-00541-1 Idioma : Inglés (eng) Palabras clave: Mathematics Geometry Differential geometry Calculus of variations Physics Variations and Optimal Control; Optimization Theoretical, Mathematical Computational Methods in Clasificación: 51 Matemáticas Resumen: "Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective Nota de contenido: 1.Geometry -- 1.1.Riemannian and Lorentzian manifolds -- 1.2.Bundles and connections -- 1.3.Tensors and spinors -- 1.4.Riemann surfaces and moduli spaces -- 1.5.Supermanifolds -- 2.Physics -- 2.1.Classical and quantum physics -- 2.2.Lagrangians.-2.3.Variational aspects -- 2.4.The sigma model -- 2.5.Functional integrals -- 2.6.Conformal field theory -- 2.7.String theory -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-642-00541-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34060 Geometry and Physics [documento electrónico] / Jürgen Jost ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XIV, 217 p : online resource.
ISBN : 978-3-642-00541-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Geometry Differential geometry Calculus of variations Physics Variations and Optimal Control; Optimization Theoretical, Mathematical Computational Methods in Clasificación: 51 Matemáticas Resumen: "Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective Nota de contenido: 1.Geometry -- 1.1.Riemannian and Lorentzian manifolds -- 1.2.Bundles and connections -- 1.3.Tensors and spinors -- 1.4.Riemann surfaces and moduli spaces -- 1.5.Supermanifolds -- 2.Physics -- 2.1.Classical and quantum physics -- 2.2.Lagrangians.-2.3.Variational aspects -- 2.4.The sigma model -- 2.5.Functional integrals -- 2.6.Conformal field theory -- 2.7.String theory -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-642-00541-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34060 Ejemplares
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Título : Geometry and Spectra of Compact Riemann Surfaces Tipo de documento: documento electrónico Autores: Peter Buser ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modern Birkhäuser Classics Número de páginas: XIV, 456 p. 145 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4992-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Functions of complex variables Geometry Several Complex Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: This classic monograph is a self-contained introduction to the geometry of Riemann surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. The first part of the book is written in textbook form at the graduate level, with only minimal requisites in either differential geometry or complex Riemann surface theory. The second part of the book is a self-contained introduction to the spectrum of the Laplacian based on the heat equation. Later chapters deal with recent developments on isospectrality, Sunada’s construction, a simplified proof of Wolpert’s theorem, and an estimate of the number of pairwise isospectral non-isometric examples which depends only on genus. Researchers and graduate students interested in compact Riemann surfaces will find this book a useful reference. Anyone familiar with the author's hands-on approach to Riemann surfaces will be gratified by both the breadth and the depth of the topics considered here. The exposition is also extremely clear and thorough. Anyone not familiar with the author's approach is in for a real treat. — Mathematical Reviews This is a thick and leisurely book which will repay repeated study with many pleasant hours – both for the beginner and the expert. It is fortunately more or less self-contained, which makes it easy to read, and it leads one from essential mathematics to the “state of the art” in the theory of the Laplace–Beltrami operator on compact Riemann surfaces. Although it is not encyclopedic, it is so rich in information and ideas … the reader will be grateful for what has been included in this very satisfying book. —Bulletin of the AMS The book is very well written and quite accessible; there is an excellent bibliography at the end. —Zentralblatt MATH Nota de contenido: Hyperbolic Structures -- Trigonometry -- Y-Pieces and Twist Parameters -- The Collar Theorem -- Bers’ Constant and the Hairy Torus -- The Teichmüller Space -- The Spectrum of the Laplacian -- Small Eigenvalues -- Closed Geodesics and Huber’s Theorem -- Wolpert’s Theorem -- Sunada’s Theorem -- Examples of Isospectral Riemann Surfaces -- The Size of Isospectral Families -- Perturbations of the Laplacian in Teichmüller Space En línea: http://dx.doi.org/10.1007/978-0-8176-4992-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33566 Geometry and Spectra of Compact Riemann Surfaces [documento electrónico] / Peter Buser ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2010 . - XIV, 456 p. 145 illus : online resource. - (Modern Birkhäuser Classics) .
ISBN : 978-0-8176-4992-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Functions of complex variables Geometry Several Complex Variables and Analytic Spaces Clasificación: 51 Matemáticas Resumen: This classic monograph is a self-contained introduction to the geometry of Riemann surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. The first part of the book is written in textbook form at the graduate level, with only minimal requisites in either differential geometry or complex Riemann surface theory. The second part of the book is a self-contained introduction to the spectrum of the Laplacian based on the heat equation. Later chapters deal with recent developments on isospectrality, Sunada’s construction, a simplified proof of Wolpert’s theorem, and an estimate of the number of pairwise isospectral non-isometric examples which depends only on genus. Researchers and graduate students interested in compact Riemann surfaces will find this book a useful reference. Anyone familiar with the author's hands-on approach to Riemann surfaces will be gratified by both the breadth and the depth of the topics considered here. The exposition is also extremely clear and thorough. Anyone not familiar with the author's approach is in for a real treat. — Mathematical Reviews This is a thick and leisurely book which will repay repeated study with many pleasant hours – both for the beginner and the expert. It is fortunately more or less self-contained, which makes it easy to read, and it leads one from essential mathematics to the “state of the art” in the theory of the Laplace–Beltrami operator on compact Riemann surfaces. Although it is not encyclopedic, it is so rich in information and ideas … the reader will be grateful for what has been included in this very satisfying book. —Bulletin of the AMS The book is very well written and quite accessible; there is an excellent bibliography at the end. —Zentralblatt MATH Nota de contenido: Hyperbolic Structures -- Trigonometry -- Y-Pieces and Twist Parameters -- The Collar Theorem -- Bers’ Constant and the Hairy Torus -- The Teichmüller Space -- The Spectrum of the Laplacian -- Small Eigenvalues -- Closed Geodesics and Huber’s Theorem -- Wolpert’s Theorem -- Sunada’s Theorem -- Examples of Isospectral Riemann Surfaces -- The Size of Isospectral Families -- Perturbations of the Laplacian in Teichmüller Space En línea: http://dx.doi.org/10.1007/978-0-8176-4992-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33566 Ejemplares
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Título : Geometry by Its History Tipo de documento: documento electrónico Autores: Alexander Ostermann ; SpringerLink (Online service) ; Gerhard Wanner Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XII, 440 p Il.: online resource ISBN/ISSN/DL: 978-3-642-29163-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Geometry History of Mathematical Sciences Clasificación: 51 Matemáticas Resumen: In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19th century. Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike Nota de contenido: Preface -- Part I: Classical Geometry -- Thales and Pythagoras -- The Elements of Euclid -- Conic Sections -- Further Results on Euclidean Geometry -- Trigonometry -- Part II: Analytic Geometry -- Descartes' Geometry -- Cartesian Coordinates -- To be Constructible, or not to be -- Spatial Geometry and Vector Algebra -- Matrices and Linear Mappings -- Projective Geometry -- Solutions to Exercises -- References -- Figure Source and Copyright -- Index En línea: http://dx.doi.org/10.1007/978-3-642-29163-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32978 Geometry by Its History [documento electrónico] / Alexander Ostermann ; SpringerLink (Online service) ; Gerhard Wanner . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2012 . - XII, 440 p : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-3-642-29163-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Geometry History of Mathematical Sciences Clasificación: 51 Matemáticas Resumen: In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19th century. Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike Nota de contenido: Preface -- Part I: Classical Geometry -- Thales and Pythagoras -- The Elements of Euclid -- Conic Sections -- Further Results on Euclidean Geometry -- Trigonometry -- Part II: Analytic Geometry -- Descartes' Geometry -- Cartesian Coordinates -- To be Constructible, or not to be -- Spatial Geometry and Vector Algebra -- Matrices and Linear Mappings -- Projective Geometry -- Solutions to Exercises -- References -- Figure Source and Copyright -- Index En línea: http://dx.doi.org/10.1007/978-3-642-29163-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32978 Ejemplares
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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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