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Linked

How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life

de Albert-László Barabási ...

The best-selling guide to network science, the revolutionary field that reveals the deep links between all forms of human social lifeA cocktail party. A terrorist cell. Ancient bacteria. An international conglomerate. All are networks, and all are a part of a surprising scientific revolution. In Linked, Albert-László Barabási, the nation's foremost expert in the new science of networks, takes us ... Leer más

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The best-selling guide to network science, the revolutionary field that reveals the deep links between all forms of human social lifeA cocktail party. A terrorist cell. Ancient bacteria. An international conglomerate. All are networks, and all are a part of a surprising scientific revolution. In Linked, Albert-László Barabási, the nation's foremost expert in the new science of networks, takes us
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Morse Theory: Smooth And Discrete

de Kevin P Knudson ...

Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. ... Leer más

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Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics.
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Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics

de Saul-paul Sirag ...

Series Libro 57 - Series On Knots And Everything
This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics. ... Leer más

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This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics.
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Introduction To Geometrical Physics, An (Second Edition)

de Ruben Aldrovandi, Jose Geraldo Pereira ...

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.The book provides in a single volume a thorough introduction to topology and differential ... Leer más

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This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.The book provides in a single volume a thorough introduction to topology and differential
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Algebraic Topology

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de Marco Grandis ...

Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy ... Leer más

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Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy
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Pseudocompact Topological Spaces

A Survey of Classic and New Results with Open Problems

Edición de Michael Hrušák, Ángel Tamariz-Mascarúa, Mikhail Tkachenko ...

Series series Mathematics and Statistics (R0)
This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of ... Leer más

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This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of
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Grundkurs Topologie

de Gerd Laures, Markus Szymik ...

Series series Life Science and Basic Disciplines (German Language)
Die Topologie beschäftigt sich mit den qualitativen Eigenschaften geometrischer Objekte. Ihr Begriffsapparat ist so mächtig, dass kaum eine mathematische Struktur nicht mit Gewinn topologisiert wurde.Dieses Buch versteht sich als Brücke von den einführenden Vorlesungen der Analysis und Linearen Algebra zu den fortgeschrittenen Vorlesungen der Algebraischen und Geometrischen Topologie. Es eignet ... Leer más

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Die Topologie beschäftigt sich mit den qualitativen Eigenschaften geometrischer Objekte. Ihr Begriffsapparat ist so mächtig, dass kaum eine mathematische Struktur nicht mit Gewinn topologisiert wurde.Dieses Buch versteht sich als Brücke von den einführenden Vorlesungen der Analysis und Linearen Algebra zu den fortgeschrittenen Vorlesungen der Algebraischen und Geometrischen Topologie. Es eignet
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Introduction to Soergel Bimodules

de Ben Elias, Shotaro Makisumi, Ulrich Thiel, Geordie Williamson ...

Series series Mathematics and Statistics (R0)
This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects ... Leer más

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This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects
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Topological Methods in Data Analysis and Visualization VI

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Edición de Ingrid Hotz, Talha Bin Masood, Filip Sadlo, Julien Tierny ...

Series series Springer Nature Proceedings excluding Computer Science
This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The ... Leer más

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Real and Complex Submanifolds

Daejeon, Korea, August 2014

Edición de Young Jin Suh, Jürgen Berndt, Yoshihiro Ohnita, Byung Hak Kim, Hyunjin Lee ...

Series series Springer Nature Proceedings excluding Computer Science
Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, 2014.The book covers various aspects of differential geometry focused ... Leer más

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Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2013

Edición de Vladimir Dobrev ...

Series series Springer Nature Proceedings excluding Computer Science
Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., ... Leer más

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Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e.,
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Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures

Foundations and Applications

Edición de Mahouton Norbert Hounkonnou, Melanija Mitrović, Mujahid Abbas, Madad Khan ...

Series series Mathematics and Statistics (R0)
This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications—CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojša Stevanović (1962-2009). The papers cover new trends in the field, focusing on the growing development of ... Leer más

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Handbook of Geometry and Topology of Singularities III

Edición de José Luis Cisneros-Molina, Lê Dũng Tráng, José Seade ...

Series series Mathematics and Statistics (R0)
This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these ... Leer más

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This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these
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Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

TJC 2015, Monastir, Tunisia, December 18-23

Edición de Ali Baklouti, Takaaki Nomura ...

Series series Springer Nature Proceedings excluding Computer Science
This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications. It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical ... Leer más

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This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications. It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical
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Geometrical Themes Inspired by the N-body Problem

Edición de Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera ...

Series series Mathematics and Statistics (R0)
Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, ... Leer más

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Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain,
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Geometry of Hypersurfaces

de Patrick J. Ryan, Thomas E. Cecil ...

Series series Mathematics and Statistics (R0)
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text, ... Leer más

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This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text,
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Periods and Nori Motives

de Annette Huber, Benjamin Friedrich, Jonas von Wangenheim, Stefan Müller-Stach ...

Series series Mathematics and Statistics (R0)
This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich ... Leer más

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This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich
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Holomorphic Curves in Low Dimensions

From Symplectic Ruled Surfaces to Planar Contact Manifolds

de Chris Wendl ...

Series series Mathematics and Statistics (R0)
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of ... Leer más

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This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of
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Representations of Reductive p-adic Groups

International Conference, IISER, Pune, India, 2017

Edición de Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone ...

Series Libro 328 - Progress in Mathematics
This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her ... Leer más

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This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her
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Dimension Theory

A Selection of Theorems and Counterexamples

de Michael G. Charalambous ...

Series series Mathematics and Statistics (R0)
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for ... Leer más

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This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for
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Sheaves of Algebras over Boolean Spaces

de Arthur Knoebel ...

Series series Mathematics and Statistics (R0)
Sheaves of Algebras over Boolean Spaces comprehensively covers sheaf theory as applied to universal algebra. The text presents intuitive ideas from topology such as the notion of metric space and the concept of central idempotent from ring theory. These lead to the abstract notions of complex and factor element, respectively. Factor elements are defined by identities, discovered for shells for the ... Leer más

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Sheaves of Algebras over Boolean Spaces comprehensively covers sheaf theory as applied to universal algebra. The text presents intuitive ideas from topology such as the notion of metric space and the concept of central idempotent from ring theory. These lead to the abstract notions of complex and factor element, respectively. Factor elements are defined by identities, discovered for shells for the
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Indra's Pearls

The Vision of Felix Klein

de David Mumford, Caroline Series, David Wright ...

Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these ... Leer más

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Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these
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Aperiodic Order: Volume 2, Crystallography and Almost Periodicity

Edición de Michael Baake, Uwe Grimm ...

Series Libro 166 - Encyclopedia of Mathematics and its Applications
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among ... Leer más

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Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among
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Classical Algebraic Geometry

A Modern View

de Igor V. Dolgachev ...

Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta ... Leer más

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Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta
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eBooks de Topología

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Morse Theory: Smooth And Discrete

Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics

Introduction To Geometrical Physics, An (Second Edition)

Algebraic Topology

Pseudocompact Topological Spaces

Grundkurs Topologie

Introduction to Soergel Bimodules

Topological Methods in Data Analysis and Visualization VI

Real and Complex Submanifolds

Lie Theory and Its Applications in Physics

Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures

Handbook of Geometry and Topology of Singularities III

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Geometrical Themes Inspired by the N-body Problem

Geometry of Hypersurfaces

Periods and Nori Motives

Holomorphic Curves in Low Dimensions

Representations of Reductive p-adic Groups

Dimension Theory

Sheaves of Algebras over Boolean Spaces

Indra's Pearls

Aperiodic Order: Volume 2, Crystallography and Almost Periodicity

Classical Algebraic Geometry