Sosinskiĭ, A. B. (Alekseĭ Bronislavovich)
Overview
Works:  69 works in 162 publications in 5 languages and 4,590 library holdings 

Genres:  Conference papers and proceedings Textbooks Dictionaries 
Roles:  Translator, Author, Other, Editor 
Classifications:  QA3, 510.6 
Publication Timeline
.
Most widely held works by
A. B Sosinskiĭ
Knots : mathematics with a twist by
A. B Sosinskiĭ(
Book
)
20 editions published between 1999 and 2004 in 4 languages and held by 897 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
20 editions published between 1999 and 2004 in 4 languages and held by 897 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 354 WorldCat member libraries worldwide
13 editions published between 1996 and 1997 in English and held by 354 WorldCat member libraries worldwide
Geometries by
A. B Sosinskiĭ(
Book
)
11 editions published in 2012 in English and held by 272 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
11 editions published in 2012 in English and held by 272 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
Dynamical systems in classical mechanics(
Book
)
1 edition published in 1995 in English and held by 199 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 199 WorldCat member libraries worldwide
Solitons, geometry, and topology : on the crossroad(
)
1 edition published in 1997 in English and held by 193 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 193 WorldCat member libraries worldwide
Topology of real algebraic varieties and related topics(
Book
)
1 edition published in 1996 in English and held by 187 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 187 WorldCat member libraries worldwide
Topics in singularity theory : V.I. Arnold's 60th anniversary collection(
Book
)
1 edition published in 1997 in English and held by 187 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 187 WorldCat member libraries worldwide
Lie groups and lie algebras : E.B. Dynkin's seminar(
Book
)
1 edition published in 1995 in English and held by 184 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 184 WorldCat member libraries worldwide
Contemporary mathematical physics : F.A. Berezin memorial volume(
Book
)
1 edition published in 1996 in English and held by 181 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 181 WorldCat member libraries worldwide
Nonlinear waves and weak turbulence(
Book
)
2 editions published in 1998 in English and held by 179 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 179 WorldCat member libraries worldwide
Kirillov's seminar on representation theory by Representation theory (Kirillov's seminar)(
Book
)
2 editions published in 1998 in English and held by 178 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 178 WorldCat member libraries worldwide
Moscow seminar in mathematical physics by Seminar on Mathematical Physics (Moskva)(
Book
)
1 edition published in 1999 in English and held by 173 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 173 WorldCat member libraries worldwide
Nonlinear evolution equations(
Book
)
1 edition published in 1995 in English and held by 169 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 169 WorldCat member libraries worldwide
Topics in statistical and theoretical physics : F.A. Berezin memorial volume by
R. L Dobrushin(
Book
)
2 editions published in 1996 in English and held by 168 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 168 WorldCat member libraries worldwide
Mathematics in St. Petersburg by
A. A Bolibrukh(
)
2 editions published in 1996 in English and held by 166 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 166 WorldCat member libraries worldwide
Topics in topology and mathematical physics(
Book
)
1 edition published in 1995 in English and held by 156 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 156 WorldCat member libraries worldwide
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 55 WorldCat member libraries worldwide
The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator should never forget that he is not a creator, but only a mirror. His own viewpoints, his own preferences, should never lead him into altering the original, even with the best intentions. Only an occasional translator's note is permitted. The undersigned is grateful for the opportunity of translating Professor Kirillov's fine book on group representations, and hopes that it will bring to the Englishreading mathematical public as much instruction and interest as it has brought to the translator. Deviations from the Russian text have been rigorously avoided, except for a number of corrections kindly supplied by Professor Kirillov. Misprints and an occasional solecism have been tacitly taken care of. The trans lation is in all essential respects faithful to the original Russian. The translator records his gratitude to Linda Sax, who typed the entire translation, to Laura Larsson, who prepared the bibliography (considerably modified from the original), and to Betty Underhill, who rendered essential assistance
1 edition published in 1974 in French and held by 55 WorldCat member libraries worldwide
The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator should never forget that he is not a creator, but only a mirror. His own viewpoints, his own preferences, should never lead him into altering the original, even with the best intentions. Only an occasional translator's note is permitted. The undersigned is grateful for the opportunity of translating Professor Kirillov's fine book on group representations, and hopes that it will bring to the Englishreading mathematical public as much instruction and interest as it has brought to the translator. Deviations from the Russian text have been rigorously avoided, except for a number of corrections kindly supplied by Professor Kirillov. Misprints and an occasional solecism have been tacitly taken care of. The trans lation is in all essential respects faithful to the original Russian. The translator records his gratitude to Linda Sax, who typed the entire translation, to Laura Larsson, who prepared the bibliography (considerably modified from the original), and to Betty Underhill, who rendered essential assistance
Russkoanglonemet︠s︡kofrant︠s︡uzskiĭ matematicheskiĭ slovarʹ : osnovnye terminy : okolo 3,000 terminov by
V. B Orlov(
Book
)
6 editions published in 1987 in Russian and English and held by 46 WorldCat member libraries worldwide
6 editions published in 1987 in Russian and English and held by 46 WorldCat member libraries worldwide
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 6 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/> Audience: 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 6 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/> Audience: 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
 Minlos, R. A. (Robert Adolʹfovich) Editor
 Novikov, S. P. (Sergeĭ Petrovich) Editor
 Dobrushin, R. L. 19291995 Editor
 Shubin, M. A. (Mikhail Aleksandrovich) 1944 Editor
 Vershik, A. M. (Anatoliĭ Moiseevich) 1933 Editor
 Berezin, F. A. (Feliks Aleksandrovich)
 Kirillov, A. A. (Aleksandr Aleksandrovich) 1936 Author
 Arnolʹd, V. I. (Vladimir Igorevich) 19372010 Author
 Kozlov, V. V. (Valeriĭ Vasilʹevich) Editor
Useful Links
Associated Subjects
Algebra Algebraic topology Algebraic varieties Arnolʹd, V. I.(Vladimir Igorevich), Berezin, F. A.(Feliks Aleksandrovich) Curves, Algebraic Dictionaries, Polyglot Differentiable dynamical systems Differential equations, Partial Dynkin, E. B.(Evgeniĭ Borisovich), Education, Higher EducationCurricula Evolution equations, Nonlinear Geometry Geometry, Algebraic Geometry, Differential Group theory Hamiltonian systems Knot theory Lie algebras Lie groups Linear algebraic groups Lowdimensional topology Mathematical physics Mathematics MathematicsStudy and teaching (Higher) Mechanics Nonlinear waves Number theory Pennsylvania Pennsylvania State University Pennsylvania State University.Mathematics Advanced Study Semesters Representations of algebras Representations of groups Russia (Federation) Russia (Federation)Saint Petersburg Russian language Singularities (Mathematics) Solitons Statistical physics Topological groups Topology Turbulence
Alternative Names
Alexei Bronislawowitsch Sossinski
Alexei Bronislawowitsch Sossinski Frans wiskundige
Alexei Bronislawowitsch Sossinski mathématicien russe
Alexei Bronislawowitsch Sossinski russischer Mathematiker
Alexei Sossinski
Alexei Sossinsky French mathematician
Alexei Sossinsky Russian mathematician
Sosinski, Alekseï Bronislavovitch
Sosinski Alekseï 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. 1937
Sossinsky, A. B. (Aleksei Bronislavovitch)
Sossinsky, Alexei.
Sossinsky Alexei 1937....
Сосински, Алексей Брониславович 1937..
Сосинский, А. Б.
Сосинский, А. Б. (Алексей Брониславович)
Сосинский, Алексей Брониславович
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