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# Search Results for: russian-mathematical-surveys

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*In Honor of Yuri V. Prokhorov*

**Author**: Albert N. Shiryaev,S. R. S. Varadhan,Ernst L. Presman

**Publisher:** Springer Science & Business Media

**ISBN:** 3642335497

**Category:** Mathematics

**Page:** 446

**View:** 4503

The role of Yuri Vasilyevich Prokhorov as a prominent mathematician and leading expert in the theory of probability is well known. Even early in his career he obtained substantial results on the validity of the strong law of large numbers and on the estimates (bounds) of the rates of convergence, some of which are the best possible. His findings on limit theorems in metric spaces and particularly functional limit theorems are of exceptional importance. Y.V. Prokhorov developed an original approach to the proof of functional limit theorems, based on the weak convergence of finite dimensional distributions and the condition of tightness of probability measures. The present volume commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It includes scientific contributions written by his colleagues, friends and pupils, who would like to express their deep respect and sincerest admiration for him and his scientific work.

**Author**: Yakov Sinai

**Publisher:** World Scientific

**ISBN:** 9789812383853

**Category:** Mathematics

**Page:** 700

**View:** 9616

In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.

**Author**: Yakov Sinai

**Publisher:** World Scientific

**ISBN:** 9814492558

**Category:** Mathematics

**Page:** 712

**View:** 6155

In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation. The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today. The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union. Contents:Lyapunov (A New Case of Integrability of Differential Equations of Motion of a Solid Body in Liquid)Luzin (Sur l'absolue convergence des series trigonometriques)SteklovEgorov (Mathematics and Religion in Moscow, by C E Ford)Smirnov (Sur les polynomes orthogonaux a une veriable complexe)Bernstein (Sur la meilleure approximation sur tout l'axe reel des fonctions continues par des fonctions entieres de degre fini)UrysohnChebotaryovVinogradov (Representation of an Odd Number as the Sum of Three Primes)Aleksandrov (Sur la notion de dimension des ensembles fermes)MenshovGelfond (Sur le septierie probleme de Hilbert)Khinchin (Three Pearls of Number Theory)Kolmogorov (Local Structure of Turbulence in an Incompressible Viscous Fluid at Very Large Reynolds Numbers)Pontryagin (Homotopic Classification of an (n+2)-Dimensional Spheres into an n-Dimensional Spheres)Gelfand (On Identities for Eigenvalues of a Second Order Differential Operators)Sobolev (On a Theorem of Functional Analysis)Petrovsky (On Problem of some PDE's)Krein (On Extreme Points of Regularly Convex Sets)Liusternik (Topology and Variational Problem)Rokhlin (Proof of Gudkov's Hypothesis)Novikov (Periodic Groups)Bogoliubov (Mathematical Problems of Quantum Field Theory)Aleksandrov (Neue ungleichungen fur die mischvolumen konvexer korper)Kantorovich (A New Method of Solving of Some Classes of Extremal Problems)Malcev (Free Topological Algebras)Linnik (An Application of the Theory of Matrices and of Lobatschevskian Geometry to the Theory of Dirichlet's Real Characters)Markov (The Theory of Algorithms)Lavrentev (On the Theory of Quasi-Conformal Mapping of Three-Dimensional Domains)Tikhonov (Ueber die Erweiteung von Raumen)Delone (Sur le nombre de representations d'un nombre par une forme eubique a discriminent negatif)Keldysh (On the Completeness of the Eigenfunctions of Some Classes of Non-Self Adjoint Linear Operators)Faddeevand other articles Readership: General mathematicians. Keywords:Geometry & Topology;Analysis & Differential Equations;Algebra & Number TheoryReviews:“For anyone who wants an overview of mathematics in Russia during the 20th century there is now the volume Russian Mathematicians in the 20th century … It shall remain on my book shelf as a monument over a heroic generation.”Professor Lennart Carleson Institute of Mathematics, The Royal Institute of Technology, Stockholm, Sweden “The list selected is very representative both topically and geographically. It covers research in all areas of mathematics … The 33 persons in the list worked not only in Moscow and Leningrad (now Saint Petersburg), but also in Kiev, Odessa, Kazan, and Novosibirsk. Most of the work presented in this volume was done during the Soviet era when the Russian mathematical community was artificially isolated from the international one for political reasons. Thus to develop their subjects, Soviet mathematicians needed to be self-sufficient. And this volume shows that they indeed succeeded in it. The originality of the Russian mathematical school is clearly seen when one reads the papers included in the book. Altogether this volume gives a very strong impression of the versatility, originality and strength of the Russian mathematical school.”L D Faddeev Petersburg Department of the Steklov Institute of Mathematics , Russian Academy of Sciences “This book is fascinating … It shows the greatness of Russian or Soviet mathematicians and the foundations on which younger mathematicians could build up, leading to world leadership until the end of the Soviet Union when the exodus started.”F Hirzebruch Emeritus Professor of Mathematics University of Bonn

**Author**: American Mathematical Society

**Publisher:** American Mathematical Soc.

**ISBN:** 0821829181

**Category:** Mathematics

**Page:** 230

**View:** 8952

The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. The articles combine to give an excellent personal and scientific biography of this important mathematician. There is also an extensive bibliography with the complete list of Kolmogorov's works--including the articles written for encyclopedias and newspapers. The book is illustrated with photographs and includes quotations from Kolmogorov's letters and conversations, uniquely reflecting his mathematical tastes and opinions.

**Author**: V.G. Danilov,Victor P. Maslov,K.A. Volosov

**Publisher:** Springer Science & Business Media

**ISBN:** 9401104093

**Category:** Mathematics

**Page:** 323

**View:** 8753

In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in the neighborhood of a certain curve or surface. For the present edition, the book published in Moscow by the Nauka publishing house in 1987, was almost completely revised, essentially up-dated, and shows our present understanding of the problems considered. The new results, obtained by the authors after the Russian edition was published, are referred to in footnotes. As before, the book can be divided into two parts: the methods for constructing asymptotic solutions ( Chapters I-V) and the application of these methods to some concrete problems (Chapters VI-VII). In Appendix a method for justification some asymptotic solutions is discussed briefly. The final formulas for the asymptotic solutions are given in the form of theorems. These theorems are unusual in form, since they present the results of calculations. The authors hope that the book will be useful to specialists both in differential equations and in the mathematical modeling of physical and chemical processes. The authors express their gratitude to Professor M. Hazewinkel for his attention to this work and his support.
*Relativity, Quantum Theory and Epistemology*

**Author**: Tilman Sauer,Ulrich Majer

**Publisher:** Springer Science & Business Media

**ISBN:** 3540682422

**Category:** Mathematics

**Page:** 690

**View:** 6033

These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.
*Collection of Papers*

**Author**: I?Akov Grigor?evich Sina?

**Publisher:** World Scientific

**ISBN:** 9789810204372

**Category:** Science

**Page:** 673

**View:** 2066

This volume consists of very high quality articles which not only give a very good account of this field in the Soviet Union, but also provide stimulating materials for researchers working on this topic.

**Author**: F.A. Medvedev

**Publisher:** Birkhäuser

**ISBN:** 3034886608

**Category:** Mathematics

**Page:** 265

**View:** 2147

To attempt to compile a relatively complete bibliography of the theory of functions of a real variable with the requisite bibliographical data, to enumer ate the names of the mathematicians who have studied this subject, exhibit their fundamental results, and also include the most essential biographical data about them, to conduct an inventory of the concepts and methods that have been and continue to be applied in the theory of functions of a real variable ... in short, to carry out anyone of these projects with appropriate completeness would require a separate book involving a corresponding amount of work. For that reason the word essays occurs in the title of the present work, allowing some freedom in the selection of material. In justification of this selection, it is reasonable to try to characterize to some degree the subject to whose history these essays are devoted. The truth of the matter is that this is a hopeless enterprise if one requires such a characterization to be exhaustively complete and concise. No living subject can be given a final definition without provoking some objections, usually serious ones. But if we make no such claims, a characterization is possible; and if the first essay of the present book appears unconvincing to anyone, the reason is the personal fault of the author, and not the objective necessity of the attempt.
*Pont-A-Mousson 1994*

**Author**: C Bandle,Michel Chipot,Josef Bemelmans,J Saint Jean Paulin,I Shafrir

**Publisher:** CRC Press

**ISBN:** 9780582239616

**Category:** Mathematics

**Page:** 272

**View:** 3032

This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics, mechanics and engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------
*XXXI Workshop, Białowieża, Poland, June 24–30, 2012*

**Author**: Piotr Kielanowski,S. Twareque Ali,Alexander Odesskii,Anatol Odzijewicz,Martin Schlichenmaier,Theodore Voronov

**Publisher:** Springer Science & Business Media

**ISBN:** 3034806450

**Category:** Mathematics

**Page:** 237

**View:** 4134

The Białowieża workshops on Geometric Methods in Physics, taking place in the unique environment of the Białowieża natural forest in Poland, are among the important meetings in the field. Every year some 80 to 100 participants both from mathematics and physics join to discuss new developments and to interchange ideas. The current volume was produced on the occasion of the XXXI meeting in 2012. For the first time the workshop was followed by a School on Geometry and Physics, which consisted of advanced lectures for graduate students and young researchers. Selected speakers of the workshop were asked to contribute, and additional review articles were added. The selection shows that despite its now long tradition the workshop remains always at the cutting edge of ongoing research. The XXXI workshop had as a special topic the works of the late Boris Vasilievich Fedosov (1938–2011) who is best known for a simple and very natural construction of a deformation quantization for any symplectic manifold, and for his contributions to index theory.

**Author**: A. A. Bolibrukh,A. S. Merkurv

**Publisher:** American Mathematical Soc.

**ISBN:** 9780821805596

**Category:** Mathematics

**Page:** 273

**View:** 4622

*Life and Death of the Mastermind of Supermathematics*

**Author**: Mikhail A. Shifman

**Publisher:** World Scientific

**ISBN:** 9789812770486

**Category:** Mathematicians

**Page:** 256

**View:** 6479

Felix Berezin was an outstanding Soviet mathematician who in the 1960s and 70s was the driving force behind the emergence of the branch of mathematics now known as supermathematics. The integral over the anticommuting Grassmann variables that he introduced in the 1960s laid the foundation for the path integral formulation of quantum field theory with fermions, the heart of modern supersymmetric field theories and superstrings. The Berezin integral is named for him, as is the closely related construction of the Berezinian, which may be regarded as the superanalog of the determinant. This book features a masterfully written memoir by BerezinOCOs widow, Elena Karpel, who narrates a remarkable account of BerezinOCOs life and his struggle for survival under the totalitarian Soviet regime. Supplemented with recollections by his close friends and colleagues, BerezinOCOs accomplishments in mathematics, his novel ideas and breakthrough works, are reviewed in two articles written by Andrei Losev and Robert Minlos."

**Author**: Toka Diagana

**Publisher:** Nova Publishers

**ISBN:** 9781594544248

**Category:** Mathematics

**Page:** 116

**View:** 8795

This book provides the reader with a self-contained treatment of the classical operator theory with significant applications to abstract differential equations, and an elegant introduction to basic concepts and methods of the rapidly growing theory of the so-called p-adic operator theory.

**Author**: Anatole Katok,Boris Hasselblatt

**Publisher:** Cambridge University Press

**ISBN:** 9780521575577

**Category:** Mathematics

**Page:** 802

**View:** 3719

This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.
*The Origins of Chaos and Stability*

**Author**: Florin Diacu,Philip Holmes

**Publisher:** Princeton University Press

**ISBN:** 9780691005454

**Category:** Mathematics

**Page:** 256

**View:** 6905

Celestial Encounters traces the history of attempts to solve the problem of celestial mechanics first posited in Isaac Newton's Principia in 1686. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it. 23 halftones. 64 line illustrations.
*Biological and Epistemological Perspectives on Selection and Self-Organization*

**Author**: G. Vijver,Stanley N. Salthe,M. Delpos

**Publisher:** Springer Science & Business Media

**ISBN:** 9401715106

**Category:** Philosophy

**Page:** 438

**View:** 9595

The three well known revolutions of the past centuries - the Copernican, the Darwinian and the Freudian - each in their own way had a deflating and mechanizing effect on the position of humans in nature. They opened up a richness of disillusion: earth acquired a more modest place in the universe, the human body and mind became products of a long material evolutionary history, and human reason, instead of being the central, immaterial, locus of understanding, was admitted into the theater of discourse only as a materialized and frequently out-of-control actor. Is there something objectionable to this picture? Formulated as such, probably not. Why should we resist the idea that we are in certain ways, and to some degree, physically, biologically or psychically determined? Why refuse to acknowledge the fact that we are materially situated in an ever evolving world? Why deny that the ways of inscription (traces of past events and processes) are co-determinative of further "evolutionary pathways"? Why minimize the idea that each intervention, of each natural being, is temporally and materially situated, and has, as such, the inevitable consequence of changing the world? The point is, however, that there are many, more or less radically different, ways to consider the "mechanization" of man and nature. There are, in particular, many ways to get the message of "material and evolutionary determination", as well as many levels at which this determination can be thought of as relevant or irrelevant.

**Author**: Alessandro Minelli,Thomas Pradeu

**Publisher:** OUP Oxford

**ISBN:** 0191651184

**Category:** Science

**Page:** 320

**View:** 3678

Is it possible to explain and predict the development of living things? What is development? Articulate answers to these seemingly innocuous questions are far from straightforward. To date, no systematic, targeted effort has been made to construct a unifying theory of development. This novel work offers a unique exploration of the foundations of ontogeny by asking how the development of living things should be understood. It explores the key concepts of developmental biology, asks whether general principles of development can be discovered, and examines the role of models and theories. The two editors (one a biologist with long interest in the theoretical aspects of his discipline, the other a philosopher of science who has mainly worked on biological systems) have assembled a team of leading contributors who are representative of the scientific and philosophical community within which a diversity of thoughts are growing, and out of which a theory of development may eventually emerge. They analyse a wealth of approaches to concepts, models and theories of development, such as gene regulatory networks, accounts based on systems biology and on physics of soft matter, the different articulations of evolution and development, symbiont-induced development, as well as the widely discussed concepts of positional information and morphogenetic field, the idea of a 'programme' of development and its critiques, and the long-standing opposition between preformationist and epigenetic conceptions of development. Towards a Theory of Development is primarily aimed at students and researchers in the fields of 'evo-devo', developmental biology, theoretical biology, systems biology, biophysics, and the philosophy of science.

**Author**: Andrea Braides,Valeria Chiadò Piat

**Publisher:** Springer Science & Business Media

**ISBN:** 354036546X

**Category:** Mathematics

**Page:** 316

**View:** 9937

The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.
*7th International Conference, LATA 2013, Bilbao, Spain, April 2-5, 2013, Proceedings*

**Author**: Adrian-Horia Dediu,Carlos Martín-Vide,Bianca Truthe

**Publisher:** Springer

**ISBN:** 3642370640

**Category:** Computers

**Page:** 580

**View:** 4994

This book constitutes the refereed proceedings of the 7th International Conference on Language and Automata Theory and Applications, LATA 2013, held in Bilbao, Spain in April 2013. The 45 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 97 initial submissions. The volume features contributions from both classical theory fields and application areas (bioinformatics, systems biology, language technology, artificial intelligence, etc.). Among the topics covered are algebraic language theory; algorithms for semi-structured data mining; algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata, concurrency and Petri nets; automatic structures; cellular automata; combinatorics on words; computability; computational complexity; computational linguistics; data and image compression; decidability questions on words and languages; descriptional complexity; DNA and other models of bio-inspired computing; document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammars (Chomsky hierarchy, contextual, multidimensional, unification, categorial, etc.); grammars and automata architectures; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; language-based cryptography; language-theoretic foundations of artificial intelligence and artificial life; parallel and regulated rewriting; parsing; pattern recognition; patterns and codes; power series; quantum, chemical and optical computing; semantics; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; symbolic neural networks; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.

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