WorldCat Identities

European Mathematical Society

Works: 465 works in 799 publications in 4 languages and 7,693 library holdings
Genres: Periodicals  Conference papers and proceedings  Textbooks  Bibliography  Abstracts 
Roles: Publisher, Editor, 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 1,330 WorldCat member libraries worldwide

Commentarii mathematici Helvetici by Schweizerische Mathematische Gesellschaft (Basel)( )

in 3 languages and held by 457 WorldCat member libraries worldwide

Mathematics and music : a Diderot Mathematical Forum by Gérard Assayag( Book )

4 editions published in 2002 in English and Italian and held by 389 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
Stochastic methods in finance : lectures given at the C.I.M.E.-E.M.S. summer school held in Bressanone/Brixen, Italy, July 6-12, 2003 by K Back( Book )

8 editions published in 2004 in English and held by 247 WorldCat member libraries worldwide

This volume includes the five lecture courses given at the CIME-EMS 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
Hamiltonian dynamics theory and applications : lectures given at the C.I.M.E.-E.M.S. summer school held in Cetraro, Italy, July 1-10, 1999 by Antonio Giorgilli( Book )

7 editions published in 2005 in German and English and held by 183 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 infinite-dimensional 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
Rendiconti del Seminario matematico della Università di Padova by Università di Padova( )

in English and held by 161 WorldCat member libraries worldwide

Revista matemática iberoamericana( )

in English and held by 152 WorldCat member libraries worldwide

Fukaya categories and Picard-Lefschetz theory by Paul Seidel( Book )

5 editions published in 2008 in English and held by 143 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 pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained 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
Groups, geometry, and dynamics GGD( )

in English and No Linguistic content and held by 140 WorldCat member libraries worldwide

Journal of noncommutative geometry( )

in English and No Linguistic content and held by 120 WorldCat member libraries worldwide

Lectures on differential geometry by I. A Taĭmanov( Book )

4 editions published in 2008 in English and held by 118 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
Oberwolfach reports by Mathematisches Forschungsinstitut Oberwolfach( )

in English and Undetermined and held by 117 WorldCat member libraries worldwide

Cohomological theory of crystals over function fields by Gebhard Böckle( Book )

5 editions published in 2009 in English and held by 110 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 L-functions arising in the arithmetic of function fields. These L-functions are power series over a certain ring A, associated to any family of Drinfeld A-modules or, more generally, of A-motives on a variety of finite type over the finite field Fp. By analogy to the Weil conjecture, Goss conjectured that these L-functions 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 A-crystals, which can be viewed as generalizations of families of A-motives, and studies their cohomology. While A-crystals 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 L-functions of A-crystals, from which the rationality of these L-functions is immediate. Beyond its application to Goss's L-functions, the theory of A-crystals is closely related to the work of Emerton and Kisin on unit root F-crystals, and it is essential in an Eichler-Shimura 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 self-contained
Newsletter by European Mathematical Society( )

in English and No Linguistic content and held by 108 WorldCat member libraries worldwide

Thomas Harriot's doctrine of triangular numbers : the 'Magisteria magna' by Thomas Harriot( Book )

5 editions published in 2009 in English and held by 106 WorldCat member libraries worldwide

Thomas Harriot (c. 1560-1621) was a mathematician and astronomer, known not only for his work in algebra and geometry, but also for his wide-ranging 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
Homotopy quantum field theory by V. G Turaev( Book )

4 editions published between 1995 and 2010 in English and held by 105 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 2-dimensional and 3-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. 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 self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology
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 104 WorldCat member libraries worldwide

Markov chains are the first and most important examples of random processes. This book is about time-homogeneous 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 side-trip to the Perron-Frobenius theorem. Special attention is given to reversible Markov chains and to basic mathematical models of "population evolution" such as birth-and-death chains, Galton-Watson 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 classroom-tested exercises with solutions
Zentralblatt MATH by European Mathematical Society( )

20 editions published between 1931 and 1998 in 4 languages and held by 102 WorldCat member libraries worldwide

Zentralblatt MATH is an abstracting and reviewing service in the field of mathematics. It covers the entire spectrum of mathematics incl. applications. Citations are classified according to the Mathematics Subject Classification (MSC). It contains references to about 2300 journals and serials, from conference proceedings, collections of papers and books. Zentralblatt MATH publishes about 80.000 abstracts and reviews per year; the reviews are mainly written in English. The total amount of documents is more than 2.000.000. Since 2003 is the Jahrbuch über die Fortschritte der Mathematik (JFM) database incorporated. The online database is updated once a month which corresponds to two volumes of the printed service of Zentralblatt MATH.Searches are possible on a variety of fields: authors, titles, classification, basic index, source, language etc. A search can be formulated in logical combinations of these terms. The search can be done in search forms and with a commando interface
Lectures on the L²-Sobolev theory of the [d-bar]-Neumann problem by Emil J Straube( Book )

2 editions published in 2010 in English and held by 100 WorldCat member libraries worldwide

Lectures on Duflo isomorphisms in Lie algebra and complex geometry by Damien Calaque( Book )

4 editions published in 2011 in English and held by 88 WorldCat member libraries worldwide

Duflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra, generalizing the pioneering work of Harish-Chandra on semi-simple Lie algebras. Later on, Duflo's result was refound by Kontsevich in the framework of deformation quantization, who also observed that there is a similar isomorphism between Dolbeault cohomology of holomorphic polyvector fields on a complex manifold and its Hochschild cohomology. The present book, which arose from a series of lectures by the first author at ETH, derives these two isomorphisms from a Duflo-type result for Q-manifolds. All notions mentioned above are introduced and explained in the book, the only prerequisites being basic linear algebra and differential geometry. In addition to standard notions such as Lie (super)algebras, complex manifolds, Hochschild and Chevalley-Eilenberg cohomologies, spectral sequences, Atiyah and Todd classes, the graphical calculus introduced by Kontsevich in his seminal work on deformation quantization is addressed in details. The book is well-suited for graduate students in mathematics and mathematical physics as well as for researchers working in Lie theory, algebraic geometry and deformation theory
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Mathematics and music : a Diderot Mathematical Forum
Alternative Names

EMS (European Mathematical Society)

European mathematical society

Europejskie Towarzystwo Matematyczne.


SME (Société mathématique européenne)

Société mathématique européenne société savante de mathématiciens

Европейское математическое общество научное общество, объединяющее математиков из Европы



Stochastic methods in finance : lectures given at the C.I.M.E.-E.M.S. summer school held in Bressanone/Brixen, Italy, July 6-12, 2003Hamiltonian dynamics theory and applications : lectures given at the C.I.M.E.-E.M.S. summer school held in Cetraro, Italy, July 1-10, 1999Fukaya categories and Picard-Lefschetz theoryLectures on differential geometryCohomological theory of crystals over function fieldsThomas Harriot's doctrine of triangular numbers : the 'Magisteria magna'Homotopy quantum field theoryDenumerable Markov chains : generating functions, boundary theory, random walks on trees