Sosinskiĭ, A. B. (Alekseĭ Bronislavovich)
Overview
Works:  65 works in 143 publications in 5 languages and 2,183 library holdings 

Genres:  Textbooks Conference proceedings Dictionaries Criticism, interpretation, etc 
Roles:  Author, Translator, Other, Editor 
Classifications:  QA612.2, 514.224 
Publication Timeline
.
Most widely held works by
A. B Sosinskiĭ
Knots : mathematics with a twist by
A. B Sosinskiĭ(
Book
)
18 editions published between 1999 and 2004 in 4 languages and held by 898 WorldCat member libraries worldwide
"Ornaments and Icons, symbols of complexity or evil, aesthetically appealing and endlessly useful in everyday ways, knots are also the object of mathematical theory, used to unravel ideas about the topological nature of space. In recent years knot theory has been brought to bear on the study of equations describing weather systems, mathematical models used in physics, and even, with the realization that DNA sometimes is knotted, molecular biology." "This book, written by a mathematician known for his own work on knot theory, is a clear, concise, and engaging introduction to this complicated subject. A guide to the basic ideas and applications of knot theory, Knots takes us from Lord Kelvin's early  and mistaken  idea of using the knot to model the atom, almost a century and a half age, to the central problem confronting knot theorists today: distinguishing among various knots, classifying them, and finding a straightforward and general way of determining whether two knots  treated as mathematical objects  are equal."Jacket
18 editions published between 1999 and 2004 in 4 languages and held by 898 WorldCat member libraries worldwide
"Ornaments and Icons, symbols of complexity or evil, aesthetically appealing and endlessly useful in everyday ways, knots are also the object of mathematical theory, used to unravel ideas about the topological nature of space. In recent years knot theory has been brought to bear on the study of equations describing weather systems, mathematical models used in physics, and even, with the realization that DNA sometimes is knotted, molecular biology." "This book, written by a mathematician known for his own work on knot theory, is a clear, concise, and engaging introduction to this complicated subject. A guide to the basic ideas and applications of knot theory, Knots takes us from Lord Kelvin's early  and mistaken  idea of using the knot to model the atom, almost a century and a half age, to the central problem confronting knot theorists today: distinguishing among various knots, classifying them, and finding a straightforward and general way of determining whether two knots  treated as mathematical objects  are equal."Jacket
Knots, links, braids, and 3manifolds : an introduction to the new invariants in lowdimensional topology by
V. V Prasolov(
Book
)
13 editions published between 1996 and 1997 in English and held by 343 WorldCat member libraries worldwide
13 editions published between 1996 and 1997 in English and held by 343 WorldCat member libraries worldwide
Geometries by
A. B Sosinskiĭ(
Book
)
10 editions published in 2012 in English and held by 248 WorldCat member libraries worldwide
The book is an innovative modern exposition of geometry, or rather, of geometries; it is the first textbook in which Felix Klein's Erlangen Program (the action of transformation groups) is systematically used as the basis for defining various geometries. The course of study presented is dedicated to the proposition that all geometries are created equalalthough some, of course, remain more equal than others. The author concentrates on several of the more distinguished and beautiful ones, which include what he terms "toy geometries", the geometries of Platonic bodies, discrete geometries, and classical continuous geometries. The text is based on firstyear semester course lectures delivered at the Independent University of Moscow in 2003 and 2006. It is by no means a formal algebraic or analytic treatment of geometric topics, but rather, a highly visual exposition containing upwards of 200 illustrations. The reader is expected to possess a familiarity with elementary Euclidean geometry, albeit those lacking this knowledge may refer to a compendium in Chapter 0. Per the author's predilection, the book contains very little regarding the axiomatic approach to geometry (save for a single chapter on the history of nonEuclidean geometry), but two Appendices provide a detailed treatment of Euclid's and Hilbert's axiomatics. Perhaps the most important aspect of this course is the problems, which appear at the end of each chapter and are supplemented with answers at the conclusion of the text. By analyzing and solving these problems, the reader will become capable of thinking and working geometrically, much more so than by simply learning the theory. Ultimately, the author makes the distinction between concrete mathematical objects called "geometries" and the singular "geometry", which he understands as a way of thinking about mathematics. Although the book does not address branches of mathematics and mathematical physics such as Riemannian and Kähler manifolds or, say, differentiable manifolds and conformal field theories, the ideology of category language and transformation groups on which the book is based prepares the reader for the study of, and eventually, research in these important and rapidly developing areas of contemporary mathematics
10 editions published in 2012 in English and held by 248 WorldCat member libraries worldwide
The book is an innovative modern exposition of geometry, or rather, of geometries; it is the first textbook in which Felix Klein's Erlangen Program (the action of transformation groups) is systematically used as the basis for defining various geometries. The course of study presented is dedicated to the proposition that all geometries are created equalalthough some, of course, remain more equal than others. The author concentrates on several of the more distinguished and beautiful ones, which include what he terms "toy geometries", the geometries of Platonic bodies, discrete geometries, and classical continuous geometries. The text is based on firstyear semester course lectures delivered at the Independent University of Moscow in 2003 and 2006. It is by no means a formal algebraic or analytic treatment of geometric topics, but rather, a highly visual exposition containing upwards of 200 illustrations. The reader is expected to possess a familiarity with elementary Euclidean geometry, albeit those lacking this knowledge may refer to a compendium in Chapter 0. Per the author's predilection, the book contains very little regarding the axiomatic approach to geometry (save for a single chapter on the history of nonEuclidean geometry), but two Appendices provide a detailed treatment of Euclid's and Hilbert's axiomatics. Perhaps the most important aspect of this course is the problems, which appear at the end of each chapter and are supplemented with answers at the conclusion of the text. By analyzing and solving these problems, the reader will become capable of thinking and working geometrically, much more so than by simply learning the theory. Ultimately, the author makes the distinction between concrete mathematical objects called "geometries" and the singular "geometry", which he understands as a way of thinking about mathematics. Although the book does not address branches of mathematics and mathematical physics such as Riemannian and Kähler manifolds or, say, differentiable manifolds and conformal field theories, the ideology of category language and transformation groups on which the book is based prepares the reader for the study of, and eventually, research in these important and rapidly developing areas of contemporary mathematics
MASS selecta : teaching and learning advanced undergraduate mathematics(
Book
)
4 editions published in 2003 in English and held by 120 WorldCat member libraries worldwide
4 editions published in 2003 in English and held by 120 WorldCat member libraries worldwide
Elements of the theory of representations by
A. A Kirillov(
Book
)
1 edition published in 1974 in French and held by 53 WorldCat member libraries worldwide
1 edition published in 1974 in French and held by 53 WorldCat member libraries worldwide
Optimal control of discrete systems by
V. G Bolti︠a︡nskiĭ(
Book
)
4 editions published in 1976 in French and Russian and held by 44 WorldCat member libraries worldwide
4 editions published in 1976 in French and Russian and held by 44 WorldCat member libraries worldwide
Russkoanglonemet︠s︡kofrant︠s︡uzskiĭ matematicheskiĭ slovarʹ : osnovnye terminy : okolo 3,000 terminov by
V. B Orlov(
Book
)
4 editions published in 1987 in Russian and English and held by 43 WorldCat member libraries worldwide
4 editions published in 1987 in Russian and English and held by 43 WorldCat member libraries worldwide
Proceedings of the St. Petersburg Mathematical Society by
SanktPeterburgskoe matematicheskoe obshchestvo(
Book
)
2 editions published in 1995 in English and held by 40 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 40 WorldCat member libraries worldwide
Commande optimale by
V. M Alekseev(
Book
)
3 editions published in 1982 in French and held by 35 WorldCat member libraries worldwide
3 editions published in 1982 in French and held by 35 WorldCat member libraries worldwide
Rasskazy i publit︠s︡istika by
Vladimir Sosinskiĭ(
Book
)
1 edition published in 2002 in Russian and held by 32 WorldCat member libraries worldwide
1 edition published in 2002 in Russian and held by 32 WorldCat member libraries worldwide
Plotting graphs by
G. E Shilov(
Book
)
3 editions published in 1978 in English and held by 30 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 30 WorldCat member libraries worldwide
Nonlinear Poisson brackets : geometry and quantization by
M. V Karasev(
Book
)
2 editions published in 1993 in English and held by 20 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 20 WorldCat member libraries worldwide
Dynamical systems and statistical mechanics : from the Seminar on Statistical Physics held at Moscow State University by Ya.
G. Sinaĭ by
I︠A︡. G Sinaĭ(
Book
)
2 editions published in 1991 in English and held by 20 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 20 WorldCat member libraries worldwide
Selected works of A. N. Kolmogovrov by
A. N Kolmogorov(
Book
)
3 editions published in 1993 in English and held by 20 WorldCat member libraries worldwide
3 editions published in 1993 in English and held by 20 WorldCat member libraries worldwide
Cohomology of infinitedimensional Lie algebras by
D. B Fuks(
Book
)
1 edition published in 1986 in English and held by 19 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 19 WorldCat member libraries worldwide
Introduction to topology by
V. A Vasilʹev(
Book
)
2 editions published in 2001 in English and held by 17 WorldCat member libraries worldwide
This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, intersection index, etc. The author notes, ``The lecture note origins of the book left a significant imprint on its style. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs.'' He concludes, ``As a rule, only those proofs (or sketches of proofs) that are interesting per se and have important generalizations are presented.''
2 editions published in 2001 in English and held by 17 WorldCat member libraries worldwide
This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, intersection index, etc. The author notes, ``The lecture note origins of the book left a significant imprint on its style. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs.'' He concludes, ``As a rule, only those proofs (or sketches of proofs) that are interesting per se and have important generalizations are presented.''
Intuitive topology by
V. V Prasolov(
Book
)
2 editions published between 1994 and 1995 in English and held by 15 WorldCat member libraries worldwide
2 editions published between 1994 and 1995 in English and held by 15 WorldCat member libraries worldwide
Algebraic Ktheory : from the Seminar on Algebraic KTheory held at Leningrad State University by A.A. Suslin by Seminar on Algebraic KTheory(
Book
)
1 edition published in 1991 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 14 WorldCat member libraries worldwide
The complex WKB method for nonlinear equations I : linear theory by
V. P Maslov(
Book
)
4 editions published in 1994 in English and held by 10 WorldCat member libraries worldwide
When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multidimensional Schrödinger equation, and also to take into account the socalled tunnel effects. Finitedimensional linear theory is reviewed in detail. Infinitedimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume
4 editions published in 1994 in English and held by 10 WorldCat member libraries worldwide
When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multidimensional Schrödinger equation, and also to take into account the socalled tunnel effects. Finitedimensional linear theory is reviewed in detail. Infinitedimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume
Lie groups and Lie algebras : their representations, generalisations, and applications by
B. P Komrakov(
Book
)
3 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
This collection brings together papers related to the classical ideas of Sophus Lie. The present work reflects the interests of scientists associated with the International Sophus Lie Center, and provides uptodate results in Lie groups and Lie algebras, quantum mathematics, hypergroups, homogeneous spaces, Lie superalgebras, the theory of representations and applications to differential equations and integrable systems. <br/> Among the topics that are treated are quantization of Poisson structures, applications of multivalued groups, noncommutative aspects of hypergroups, homology invariants of homogeneous spaces, generalisations of the GodbillonVey invariant, relations between classical problems of linear analysis and representation theory and the geometry of current groups. <br/> <em>Audience:</em> This volume will be of interest to mathematicians and physicists specialising in the theory and applications of Lie groups and Lie algebras, quantum groups, hypergroups and homogeneous spaces
3 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
This collection brings together papers related to the classical ideas of Sophus Lie. The present work reflects the interests of scientists associated with the International Sophus Lie Center, and provides uptodate results in Lie groups and Lie algebras, quantum mathematics, hypergroups, homogeneous spaces, Lie superalgebras, the theory of representations and applications to differential equations and integrable systems. <br/> Among the topics that are treated are quantization of Poisson structures, applications of multivalued groups, noncommutative aspects of hypergroups, homology invariants of homogeneous spaces, generalisations of the GodbillonVey invariant, relations between classical problems of linear analysis and representation theory and the geometry of current groups. <br/> <em>Audience:</em> This volume will be of interest to mathematicians and physicists specialising in the theory and applications of Lie groups and Lie algebras, quantum groups, hypergroups and homogeneous spaces
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Related Identities
 Prasolov, V. V. (Viktor Vasilʹevich) Author
 Katok, Svetlana Editor
 Tabachnikov, Serge Editor
 Pennsylvania State University
 Mathematics Advanced Study Semesters (Program)
 Kirillov, Aleksandr Aleksandrovitch Author
 Орлов, В. Б (Всеволод Борисович) Author
 Скороход, Н. С (Нина Сергеевна)
 Boltânskij, Vladimir Grigorʹevič (1925....). Author
 Ladyzhenskai︠a︡, O. A. (Olʹga Aleksandrovna) Editor
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Associated Subjects
Algebra Algorithms Banach spaces Control theory Dictionaries, Polyglot Differentiable dynamical systems Differential equations Differential equations, Linear Differential equations, LinearAsymptotic theory Differential equations, Nonlinear Differential equations, NonlinearAsymptotic theory Differential equations, Partial Education, Higher EducationCurricula Extreme value theory FranceParis Geometry Geometry, Analytic Global analysis (Mathematics) Graphic methods Group theory Hamiltonian systems Infinite dimensional Lie algebras Information theory Knot theory Ktheory Lie algebras Lie groups Lowdimensional topology Mathematical analysis Mathematical optimization Mathematical physics Mathematics MathematicsStudy and teaching (Higher) Pennsylvania Pennsylvania State University Pennsylvania State University.Mathematics Advanced Study Semesters Poisson brackets Poisson manifolds Politics and government Representations of groups Russian literature RussiansIntellectual life Sosinskiĭ, Vladimir, Soviet Union Statistical mechanics Statistical physics Topological groups Topology WKB approximation
Alternative Names
Alexei Bronislawowitsch Sossinski mathmaticien russe
Alexei Bronislawowitsch Sossinski russischer Mathematiker
Alexei Sossinsky
Sosinski, Alekse Bronislavovitch
Sosinski Alekse Bronislavovitch 1937....
Sosinskii, A. B.
Sosinskii, A. B. 1937
Sosinskiĭ, Alekseĭ Bronislavovich
Sosinskiĭ, Alekseĭ Bronislavovich 1937...
Sosinskij, A. B.
Sosinskij, Aleksej Bronislavovič 1937
Sosinskij, Alexei B. 1937
Sosinsky, A. B.
Sosinsky A. B. 1937....
Sosinsky, A. B. (Aleksei Bronislavovitch)
Sosinsky, S.
Sosinsky, Sergei.
Sossinski, A.
Sossinski A. 1937....
Sossinski, A. B.
Sossinski, Alexei B. 1937
Sossinskii, Alexei B. 1937
Sossinskij, A.B
Sossinsky, A.
Sossinsky, A. B.
Sossinsky, A. B. (Aleksei Bronislavovitch)
Sossinsky, Alexei.
Sossinsky Alexei 1937....
Сосински, Алексей Брониславович 1937..
Сосинский, А. Б.
Сосинский, А. Б. (Алексей Брониславович)
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