Boris Feigin's Books

New Trends in Quantum Integrable Systems

Proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009

By: Boris Feigin,Michio Jimbo,Masato Okado

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New Trends in Quantum Integrable Systems

Proceedings of the Infinite Analysis 09 : Kyoto, Japan 27-31 July 2009

By: Boris Feigin,Michio Jimbo,Masato Okado

The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project "Method of Algebraic Analysis in Integrable Systems" in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years. Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics. Through these topics, the reader is exposed to the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.

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517

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World Scientific

Published Date

ISBN 10

9814324361

ISBN 13

9789814324366

Cyclic Homology in Non-Commutative Geometry

By: Joachim Cuntz,Georges Skandalis,Boris Tsygan

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Cyclic Homology in Non-Commutative Geometry

By: Joachim Cuntz,Georges Skandalis,Boris Tsygan

Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.

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147

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Springer Science & Business Media

Published Date

ISBN 10

3662064448

ISBN 13

9783662064443

Structure of Crystals

By: Boris K. Vainshtein,Vladimir M. Friedkin,Vladimir L. Indenbom

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Structure of Crystals

By: Boris K. Vainshtein,Vladimir M. Friedkin,Vladimir L. Indenbom

Modern Crystallography provides an encyclopedic exposition of the field in four volumes written by Russian scientists. Structures of Crystals considers the ideal and real atomic structure of crystals as well as their electronic structures, the fundamentals of chemical bonding between atoms, geometric representations in the theory of crystal structure and crystal chemistry, as well as lattice energy. The important classes of crystal structures in inorganic compounds as well as structure polymers, liquid crystals, biological crystals, and macromolecules are treated. This second edition is complemented by recent data on many types of crystal structures - fullerenes, high-temperature superconductors, minerals, liquid crystals, etc.

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538

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Springer Science & Business Media

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ISBN 10

3642975127

ISBN 13

9783642975127

Modern Crystallography 2

Structure of Crystals

By: Boris K. Vainshtein,Vladimir M. Fridkin,Vladimir L. Indenbom

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Modern Crystallography 2

Structure of Crystals

By: Boris K. Vainshtein,Vladimir M. Fridkin,Vladimir L. Indenbom

The four-volume treatment Modern Crystallography presents an encyclopaedic exposition of problems concerning the structure of crystals, their growth and their properties. Structure of Crystals deals with crystal structures in inorganic and organic compounds, polymers, liquid crystals, biological crystals and macromolecules.

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539

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Springer Science & Business Media

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ISBN 10

3642572545

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9783642572548

Crystal Symmetries

Shubnikov Centennial Papers

By: Boris Konstantinovich Vaĭnshteĭn

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Crystal Symmetries

Shubnikov Centennial Papers

By: Boris Konstantinovich Vaĭnshteĭn

Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.

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338

Publisher

Pergamon

Published Date

ISBN 10

0080370144

ISBN 13

9780080370149

Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

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Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

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416

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Springer Science & Business Media

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ISBN 10

3642126014

ISBN 13

9783642126017

Integrable Systems and Quantum Groups

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993

By: Ron Donagi,Boris Dubrovin,Edward Frenkel,Emma Previato

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Integrable Systems and Quantum Groups

Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993

By: Ron Donagi,Boris Dubrovin,Edward Frenkel,Emma Previato

The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.

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496

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Springer

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ISBN 10

3540477063

ISBN 13

9783540477068

The Geometry of Infinite-Dimensional Groups

By: Boris Khesin,Robert Wendt

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The Geometry of Infinite-Dimensional Groups

By: Boris Khesin,Robert Wendt

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.

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304

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Springer Science & Business Media

Published Date

ISBN 10

3540772634

ISBN 13

9783540772637

Sakharov And Power: On The Other Side Of The Window

By: Boris Altshuler

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Sakharov And Power: On The Other Side Of The Window

By: Boris Altshuler

This book is a testimony to the amazing life of Andrei Sakharov (1921-1989) — the great scientist and great man, the creator of the most terrible weapon in the history of mankind and at the same time the Nobel Peace Prize Winner. Sakharov's life is, one might say, an exciting detective story, a chain of incredible events, not accidental however, but dictated by the genius and fortitude of the protagonist. The theme of this book acquired new striking meanings after the 'Sakharov documents' of the KGB of the USSR and of the Politburo of the Soviet ruling Communist Party were declassified. 'I'm not on the top floor. I'm next to the top floor — on the other side of the window', Sakharov once joked, referring to the top floor of political power. This joke accurately reflects the uniqueness of his status, which has become his destiny.Andrei Sakharov is a giant among thought leaders who have shaped the fate of mankind. This book is an important commemoration of his 100th birthday to summarize his creative experience of 'producing miracles', which will help to find constructive solutions to the challenges of the 21st century. The peculiarity of this book is that the main storyteller is Sakharov himself: it collects the most significant quotes from his memoirs, alternate with vivid memories of people who knew him, offering documentaries and explanations.

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666

Publisher

World Scientific

Published Date

ISBN 10

9811259534

ISBN 13

9789811259531

Integrable and Superintegrable Systems

By: Boris A. Kupershmidt

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Integrable and Superintegrable Systems

By: Boris A. Kupershmidt

Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.

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402

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World Scientific

Published Date

ISBN 10

9810203160

ISBN 13

9789810203160

Integrating Imperial Space

The Russian Customs System in the 19th Century

By: Boris Ganichev

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Integrating Imperial Space

The Russian Customs System in the 19th Century

By: Boris Ganichev

In the second half of the 19th century visions of an infrastructurally integrated imperial space captivated the minds of Russian administrators and businessmen. Infrastructural integration promised to unravel the economic and political potential of the Russian Empire but it also revealed its administrative weakness. The book explores the challenges the Tsarist administration faced in harmonizing the multitudinous regional economic regimes in its vast landed empire. It analyzes conflicting logics towards the imperial space and demonstrates how the modern project of an infrastructurally integrated space limited the leeway in resorting to imperial administrative practices and accelerated the "nationalization" of the Russian Empire's economic space.

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280

Publisher

Vandenhoeck & Ruprecht

Published Date

ISBN 10

3647302082

ISBN 13

9783647302089

Fundamentals of Crystals

Fundamentals of Crystals. Symmetry, and Methods of Structural Crystallography

By: Boris K. Vainshtein

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Fundamentals of Crystals

Fundamentals of Crystals. Symmetry, and Methods of Structural Crystallography

By: Boris K. Vainshtein

From the reviews: "[...] an excellent reference book. I have no doubt it will become a much-thumbed resource for students and researchers in mineralogy and crystallography." Geological Magazine

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520

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Springer Science & Business Media

Published Date

ISBN 10

3540565582

ISBN 13

9783540565581

Symplectic and Contact Topology: Interactions and Perspectives

Interactions and Perspectives

By: Y. Eliashberg,Boris A. Khesin,François Lalonde

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Symplectic and Contact Topology: Interactions and Perspectives

Interactions and Perspectives

By: Y. Eliashberg,Boris A. Khesin,François Lalonde

The papers presented in this volume are written by participants of the ``Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory'' symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathematiques in Montreal. The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology. The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane. The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.

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210

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821831623

ISBN 13

9780821831625

Smooth Functions and Maps

By: Boris M. Makarov,Anatolii N. Podkorytov

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Smooth Functions and Maps

By: Boris M. Makarov,Anatolii N. Podkorytov

The book contains a consistent and sufficiently comprehensive theory of smooth functions and maps insofar as it is connected with differential calculus. The scope of notions includes, among others, Lagrange inequality, Taylor’s formula, finding absolute and relative extrema, theorems on smoothness of the inverse map and on conditions of local invertibility, implicit function theorem, dependence and independence of functions, classification of smooth functions up to diffeomorphism. The concluding chapter deals with a more specific issue of critical values of smooth mappings. In several chapters, a relatively new technical approach is used that allows the authors to clarify and simplify some of the technically difficult proofs while maintaining full integrity. Besides, the book includes complete proofs of some important results which until now have only been published in scholarly literature or scientific journals (remainder estimates of Taylor’s formula in a nonconvex area (Chapter I, §8), Whitney's extension theorem for smooth function (Chapter I, §11) and some of its corollaries, global diffeomorphism theorem (Chapter II, §5), results on sets of critical values of smooth mappings and the related Whitney example (Chapter IV). The text features multiple examples illustrating the results obtained and demonstrating their accuracy. Moreover, the book contains over 150 problems and 19 illustrations. Perusal of the book equips the reader to further explore any literature basing upon multivariable calculus.

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296

Publisher

Springer Nature

Published Date

ISBN 10

3030794385

ISBN 13

9783030794385

Structure of Crystals

By: Boris Konstantinovich Vaĭnshteĭn,Vladimir M. Fridkin,Vladimir L. Indenbom

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Structure of Crystals

By: Boris Konstantinovich Vaĭnshteĭn,Vladimir M. Fridkin,Vladimir L. Indenbom

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552

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Springer Science & Business Media

Published Date

ISBN 10

3540568484

ISBN 13

9783540568483

Modern Crystallography II

Structure of Crystals

By: Boris K. Vainshtein,V.M. Fridkin,V.L. Indenbom

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Modern Crystallography II

Structure of Crystals

By: Boris K. Vainshtein,V.M. Fridkin,V.L. Indenbom

Early in this century, the newly discovered x-ray diffraction by crystals made a complete change in crystallography and in the whole science of the atomic structure of matter, thus giving a new impetus to the development of solid-state physics. Crystallographic methods, pri marily x-ray diffraction analysis, penetrated into materials sciences, mol ecular physics, and chemistry, and also into many other branches of science. Later, electron and neutron diffraction structure analyses be came important since they not only complement x-ray data, but also supply new information on the atomic and the real structure of crystals. Electron microscopy and other modern methods of investigating mat ter-optical, electronic paramagnetic, nuclear magnetic, and other res onance techniques-yield a large amount of information on the atomic, electronic, and real crystal structures. Crystal physics has also undergone vigorous development. Many re markable phenomena have been discovered in crystals and then found various practical applications. Other important factors promoting the development of crystallog raphy were the elaboration of the theory of crystal growth (which brought crystallography closer to thermodynamics and physical chem istry) and the development of the various methods of growing synthetic crystals dictated by practical needs. Man-made crystals became increas ingly important for physical investigations, and they rapidly invaded technology. The production of synthetic crystals made a tremendous impact on the traditional branches: the mechanical treatment of mate rials, precision instrument making, and the jewelry industry.

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464

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Springer

Published Date

ISBN 10

3540105174

ISBN 13

9783540105176

Topics in Quantum Groups and Finite-Type Invariants

Mathematics at the Independent University of Moscow

By: Boris L. Feigin,V. A. Vasilʹev

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Topics in Quantum Groups and Finite-Type Invariants

Mathematics at the Independent University of Moscow

By: Boris L. Feigin,V. A. Vasilʹev

Presents the first collection of articles consisting entirely of work by the faculty and students at the Higher Mathematics College at the Independent University of Moscow. The 11 contributions cover symmetry groups of regular polyhedra over finite fields, vector bundles on an elliptical curve and Skylanin algebras, Tutte decomposition for graphs and symmetric matrices, and invarians and homology of spaces of knots in arbitrary manifolds. The focus of the text is on quantum groups and low-dimensional topology. No index. Annotation copyrighted by Book News, Inc., Portland, OR.

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Page Count

214

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821810847

ISBN 13

9780821810842

Book's by Boris Feigin

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