European Mathematical Society
Overview
Works:  489 works in 875 publications in 4 languages and 9,511 library holdings 

Genres:  Periodicals Conference papers and proceedings Textbooks 
Roles:  Publisher, Editor, isb, Other, Responsible party 
Classifications:  QA1, 510.5 
Publication Timeline
.
Most widely held works by
European Mathematical Society
Journal of the European Mathematical Society : JEMS by
European Mathematical Society(
)
in English and German and held by 1,408 WorldCat member libraries worldwide
in English and German and held by 1,408 WorldCat member libraries worldwide
Hamiltonian dynamics theory and applications : lectures given at the C.I.M.E.E.M.S. summer school held in Cetraro, Italy,
July 110, 1999 by
Antonio Giorgilli(
)
10 editions published in 2005 in English and German and held by 573 WorldCat member libraries worldwide
This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinitedimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation
10 editions published in 2005 in English and German and held by 573 WorldCat member libraries worldwide
This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinitedimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation
Geometry, analysis and dynamics on subReimannian manifolds(
)
4 editions published in 2016 in English and held by 502 WorldCat member libraries worldwide
SubRiemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, subRiemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds. In the last twenty years, subRiemannian geometry has emerged as an independent research domain, with extremely rich motivations and ramifications in several parts of pure and applied mathematics, such as geometric analysis, geometric measure theory, stochastic calculus and evolution equations together with applications in mechanics, optimal control and biology. The aim of the lectures collected here is to present subRiemannian structures for the use of both researchers and graduate students
4 editions published in 2016 in English and held by 502 WorldCat member libraries worldwide
SubRiemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, subRiemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds. In the last twenty years, subRiemannian geometry has emerged as an independent research domain, with extremely rich motivations and ramifications in several parts of pure and applied mathematics, such as geometric analysis, geometric measure theory, stochastic calculus and evolution equations together with applications in mechanics, optimal control and biology. The aim of the lectures collected here is to present subRiemannian structures for the use of both researchers and graduate students
Commentarii mathematici Helvetici by Schweizerische Mathematische Gesellschaft (Basel)(
)
in 3 languages and held by 468 WorldCat member libraries worldwide
in 3 languages and held by 468 WorldCat member libraries worldwide
Groups, geometry and dynamics(
)
in English and No Linguistic content and held by 412 WorldCat member libraries worldwide
in English and No Linguistic content and held by 412 WorldCat member libraries worldwide
Stochastic methods in finance : lectures given at the C.I.M.E.E.M.S. summer school held in Bressanone/Brixen, Italy, July
612, 2003 by
K Back(
Book
)
9 editions published in 2004 in English and held by 408 WorldCat member libraries worldwide
This volume includes the five lecture courses given at the CIMEEMS School on "Stochastic Methods in Finance" held in Bressanone/Brixen, Italy 2003. It deals with innovative methods, mainly from stochastic analysis, that play a fundamental role in the mathematical modelling of finance and insurance: the theory of stochastic processes, optimal and stochastic control, stochastic differential equations, convex analysis and duality theory. Five topics are treated in detail: Utility maximization in incomplete markets; the theory of nonlinear expectations and its relationship with the theory of risk measures in a dynamic setting; credit risk modelling; the interplay between finance and insurance; incomplete information in the context of economic equilibrium and insider trading
9 editions published in 2004 in English and held by 408 WorldCat member libraries worldwide
This volume includes the five lecture courses given at the CIMEEMS School on "Stochastic Methods in Finance" held in Bressanone/Brixen, Italy 2003. It deals with innovative methods, mainly from stochastic analysis, that play a fundamental role in the mathematical modelling of finance and insurance: the theory of stochastic processes, optimal and stochastic control, stochastic differential equations, convex analysis and duality theory. Five topics are treated in detail: Utility maximization in incomplete markets; the theory of nonlinear expectations and its relationship with the theory of risk measures in a dynamic setting; credit risk modelling; the interplay between finance and insurance; incomplete information in the context of economic equilibrium and insider trading
Mathematics and music : a Diderot Mathematical Forum by
Gérard Assayag(
Book
)
5 editions published in 2002 in English and Italian and held by 396 WorldCat member libraries worldwide
"In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music."Publisher's description
5 editions published in 2002 in English and Italian and held by 396 WorldCat member libraries worldwide
"In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music."Publisher's description
Journal of noncommutative geometry(
)
in English and No Linguistic content and held by 395 WorldCat member libraries worldwide
in English and No Linguistic content and held by 395 WorldCat member libraries worldwide
Rendiconti del Seminario matematico della Università di Padova by
Università di Padova(
)
in English and held by 159 WorldCat member libraries worldwide
in English and held by 159 WorldCat member libraries worldwide
Fukaya categories and PicardLefschetz theory by
Paul Seidel(
Book
)
5 editions published in 2008 in English and held by 155 WorldCat member libraries worldwide
"The central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, which together constitute the Fukaya category. The relevant aspects of pseudoholomorphic curve theory are covered in some detail, and there is also a selfcontained account of the necessary homological algebra." "Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry."Jacket
5 editions published in 2008 in English and held by 155 WorldCat member libraries worldwide
"The central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, which together constitute the Fukaya category. The relevant aspects of pseudoholomorphic curve theory are covered in some detail, and there is also a selfcontained account of the necessary homological algebra." "Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry."Jacket
Revista matemática iberoamericana(
)
in English and held by 152 WorldCat member libraries worldwide
in English and held by 152 WorldCat member libraries worldwide
Newsletter by
European Mathematical Society(
)
in English and No Linguistic content and held by 147 WorldCat member libraries worldwide
in English and No Linguistic content and held by 147 WorldCat member libraries worldwide
Lectures on differential geometry by
I. A Taĭmanov(
Book
)
4 editions published in 2008 in English and held by 125 WorldCat member libraries worldwide
"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held repeatedly at Novosibirsk State University. It is addressed to students as well as to anyone who wants to learn the basics of differential geometry."Jacket
4 editions published in 2008 in English and held by 125 WorldCat member libraries worldwide
"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held repeatedly at Novosibirsk State University. It is addressed to students as well as to anyone who wants to learn the basics of differential geometry."Jacket
Cohomological theory of crystals over function fields by
Gebhard Böckle(
Book
)
6 editions published in 2009 in English and held by 123 WorldCat member libraries worldwide
This book develops a new cohomological theory for schemes in positive characteristic p and it applies this theory to give a purely algebraic proof of a conjecture of Goss on the rationality of certain Lfunctions arising in the arithmetic of function fields. These Lfunctions are power series over a certain ring A, associated to any family of Drinfeld Amodules or, more generally, of Amotives on a variety of finite type over the finite field Fp. By analogy to the Weil conjecture, Goss conjectured that these Lfunctions are in fact rational functions. In 1996 Taguchi and Wan gave a first proof of Goss's conjecture by analytic methods à la Dwork. The present text introduces Acrystals, which can be viewed as generalizations of families of Amotives, and studies their cohomology. While Acrystals are defined in terms of coherent sheaves together with a Frobenius map, in many ways they actually behave like constructible étale sheaves. A central result is a Lefschetz trace formula for Lfunctions of Acrystals, from which the rationality of these Lfunctions is immediate. Beyond its application to Goss's Lfunctions, the theory of Acrystals is closely related to the work of Emerton and Kisin on unit root Fcrystals, and it is essential in an EichlerShimura type isomorphism for Drinfeld modular forms as constructed by the first author. The book is intended for researchers and advanced graduate students interested in the arithmetic of function fields and/or cohomology theories for varieties in positive characteristic. It assumes a good working knowledge in algebraic geometry as well as familiarity with homological algebra and derived categories, as provided by standard textbooks. Beyond that the presentation is largely selfcontained
6 editions published in 2009 in English and held by 123 WorldCat member libraries worldwide
This book develops a new cohomological theory for schemes in positive characteristic p and it applies this theory to give a purely algebraic proof of a conjecture of Goss on the rationality of certain Lfunctions arising in the arithmetic of function fields. These Lfunctions are power series over a certain ring A, associated to any family of Drinfeld Amodules or, more generally, of Amotives on a variety of finite type over the finite field Fp. By analogy to the Weil conjecture, Goss conjectured that these Lfunctions are in fact rational functions. In 1996 Taguchi and Wan gave a first proof of Goss's conjecture by analytic methods à la Dwork. The present text introduces Acrystals, which can be viewed as generalizations of families of Amotives, and studies their cohomology. While Acrystals are defined in terms of coherent sheaves together with a Frobenius map, in many ways they actually behave like constructible étale sheaves. A central result is a Lefschetz trace formula for Lfunctions of Acrystals, from which the rationality of these Lfunctions is immediate. Beyond its application to Goss's Lfunctions, the theory of Acrystals is closely related to the work of Emerton and Kisin on unit root Fcrystals, and it is essential in an EichlerShimura type isomorphism for Drinfeld modular forms as constructed by the first author. The book is intended for researchers and advanced graduate students interested in the arithmetic of function fields and/or cohomology theories for varieties in positive characteristic. It assumes a good working knowledge in algebraic geometry as well as familiarity with homological algebra and derived categories, as provided by standard textbooks. Beyond that the presentation is largely selfcontained
Oberwolfach reports OWR by
Mathematisches Forschungsinstitut Oberwolfach(
)
in English and Undetermined and held by 121 WorldCat member libraries worldwide
Canje  Es una serie para control de Canje
in English and Undetermined and held by 121 WorldCat member libraries worldwide
Canje  Es una serie para control de Canje
Thomas Harriot's doctrine of triangular numbers : the 'Magisteria magna' by
Thomas Harriot(
Book
)
5 editions published in 2009 in English and held by 118 WorldCat member libraries worldwide
Thomas Harriot (c. 15601621) was a mathematician and astronomer, known not only for his work in algebra and geometry, but also for his wideranging interests in ballistics, navigation, and optics (he discovered the sine law of refraction now known as Snell's law). By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled 'De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader to follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the 'Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the 'Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of mathematics through informal networks of friends and acquaintances
5 editions published in 2009 in English and held by 118 WorldCat member libraries worldwide
Thomas Harriot (c. 15601621) was a mathematician and astronomer, known not only for his work in algebra and geometry, but also for his wideranging interests in ballistics, navigation, and optics (he discovered the sine law of refraction now known as Snell's law). By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled 'De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader to follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the 'Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the 'Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of mathematics through informal networks of friends and acquaintances
Denumerable Markov chains : generating functions, boundary theory, random walks on trees by
Wolfgang Woess(
Book
)
5 editions published in 2009 in English and held by 116 WorldCat member libraries worldwide
Markov chains are the first and most important examples of random processes. This book is about timehomogeneous Markov chains that evolve with discrete time steps on a countable state space. Measure theory is not avoided, careful and complete proofs are provided. A specific feature is the systematic use, on a relatively elementary level, of generating functions associated with transition probabilities for analyzing Markov chains. Basic definitions and facts include the construction of the trajectory space and are followed by ample material concerning recurrence and transience, the convergence and ergodic theorems for positive recurrent chains. There is a sidetrip to the PerronFrobenius theorem. Special attention is given to reversible Markov chains and to basic mathematical models of "population evolution" such as birthanddeath chains, GaltonWatson process and branching Markov chains. A good part of the second half is devoted to the introduction of the basic language and elements of the potential theory of transient Markov chains. Here the construction and properties of the Martin boundary for describing positive harmonic functions are crucial. In the long final chapter on nearest neighbour random walks on (typically infinite) trees the reader can harvest from the seed of methods laid out so far, in order to obtain a rather detailed understanding of a specific, broad class of Markov chains. The level varies from basic to more advanced, addressing an audience from master's degree students to researchers in mathematics, and persons who want to teach the subject on a medium or advanced level. A specific characteristic of the book is the rich source of classroomtested exercises with solutions
5 editions published in 2009 in English and held by 116 WorldCat member libraries worldwide
Markov chains are the first and most important examples of random processes. This book is about timehomogeneous Markov chains that evolve with discrete time steps on a countable state space. Measure theory is not avoided, careful and complete proofs are provided. A specific feature is the systematic use, on a relatively elementary level, of generating functions associated with transition probabilities for analyzing Markov chains. Basic definitions and facts include the construction of the trajectory space and are followed by ample material concerning recurrence and transience, the convergence and ergodic theorems for positive recurrent chains. There is a sidetrip to the PerronFrobenius theorem. Special attention is given to reversible Markov chains and to basic mathematical models of "population evolution" such as birthanddeath chains, GaltonWatson process and branching Markov chains. A good part of the second half is devoted to the introduction of the basic language and elements of the potential theory of transient Markov chains. Here the construction and properties of the Martin boundary for describing positive harmonic functions are crucial. In the long final chapter on nearest neighbour random walks on (typically infinite) trees the reader can harvest from the seed of methods laid out so far, in order to obtain a rather detailed understanding of a specific, broad class of Markov chains. The level varies from basic to more advanced, addressing an audience from master's degree students to researchers in mathematics, and persons who want to teach the subject on a medium or advanced level. A specific characteristic of the book is the rich source of classroomtested exercises with solutions
Homotopy quantum field theory by
V. G Turaev(
Book
)
4 editions published between 1995 and 2010 in English and held by 113 WorldCat member libraries worldwide
Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on 2dimensional and 3dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius groupalgebras, crossed ribbon groupcategories, and Hopf groupcoalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Müger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is selfcontained and well suited for a onesemester graduate course. Prerequisites include only basics of algebra and topology
4 editions published between 1995 and 2010 in English and held by 113 WorldCat member libraries worldwide
Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on 2dimensional and 3dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius groupalgebras, crossed ribbon groupcategories, and Hopf groupcoalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Müger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is selfcontained and well suited for a onesemester graduate course. Prerequisites include only basics of algebra and topology
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Algebra, Homological Boundary value problems Cell aggregationMathematics Complex manifolds Differentiable dynamical systems Differential equations, Partial Distribution (Probability theory) Dynamics EnglandLondon Ergodic theory Europe European Mathematical Society Field theory (Physics) Finance FinanceMathematical models Generating functions Geometry, Algebraic Geometry, Differential Group actions (Mathematics) Group theory Hamiltonian systems Homology theory Interpolation Manifolds (Mathematics) Manuscripts, Medieval Markov processes Mathematics Mathematisches Forschungsinstitut Oberwolfach Measure theory Mirror symmetry MusicMathematics Noncommutative differential geometry Number theory Quantum field theory Quantum field theoryMathematical models Random walks (Mathematics) Riemannian manifolds Spectral theory (Mathematics) Stochastic analysis Symplectic geometry Thermodynamics Topology
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Alternative Names
Cymdeithas Mathemateg, Ewrop
EMS
EMS (European Mathematical Society)
European mathematical society
Europejskie Towarzystwo Matematyczne.
SME
SME (Société mathématique européenne)
Sociedad Matemática Europea sociedad científica
Société mathématique européenne société savante de mathématiciens
Европейское математическое общество научное общество, объединяющее математиков из Европы
ヨーロッパ数学会
歐洲數學學會
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