Mishchenko, Aleksandr Sergeevich
Overview
Works:  57 works in 171 publications in 4 languages and 944 library holdings 

Genres:  Conference papers and proceedings Dictionaries Glossaries, vocabularies, etc 
Roles:  Author, Editor, Other, Contributor 
Classifications:  QA613, 514.7 
Publication Timeline
.
Most widely held works by
Aleksandr Sergeevich Mishchenko
Vector bundles and their applications by
G. L Luke(
Book
)
19 editions published between 1998 and 2011 in English and held by 248 WorldCat member libraries worldwide
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics
19 editions published between 1998 and 2011 in English and held by 248 WorldCat member libraries worldwide
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics
Lagrangian manifolds and the Maslov operator by
Aleksandr Sergeevich Mishchenko(
Book
)
10 editions published in 1990 in English and held by 235 WorldCat member libraries worldwide
10 editions published in 1990 in English and held by 235 WorldCat member libraries worldwide
A short course in differential geometry and topology by
A. T Fomenko(
Book
)
7 editions published in 2009 in English and held by 83 WorldCat member libraries worldwide
"This volume is intended for graduate and research students in mathematics and physics. It covers general topology, nonlinear coordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis and Riemannian geometry, theory of integration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices."Cambridge Scientific Publishers website, viewed 2 September 2009
7 editions published in 2009 in English and held by 83 WorldCat member libraries worldwide
"This volume is intended for graduate and research students in mathematics and physics. It covers general topology, nonlinear coordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis and Riemannian geometry, theory of integration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices."Cambridge Scientific Publishers website, viewed 2 September 2009
A course of differential geometry and topology by
Aleksandr Sergeevich Mishchenko(
Book
)
13 editions published in 1988 in English and Italian and held by 74 WorldCat member libraries worldwide
13 editions published in 1988 in English and Italian and held by 74 WorldCat member libraries worldwide
Problems in differential geometry and topology by
Aleksandr Sergeevich Mishchenko(
Book
)
13 editions published in 1985 in 3 languages and held by 50 WorldCat member libraries worldwide
13 editions published in 1985 in 3 languages and held by 50 WorldCat member libraries worldwide
Selected problems in differential geometry and topology by
A. T Fomenko(
Book
)
3 editions published between 2010 and 2013 in English and held by 43 WorldCat member libraries worldwide
3 editions published between 2010 and 2013 in English and held by 43 WorldCat member libraries worldwide
Vektornye rassloenii︠a︡ i ikh primenenii︠a︡ by
Aleksandr Sergeevich Mishchenko(
Book
)
3 editions published in 1984 in Russian and held by 25 WorldCat member libraries worldwide
3 editions published in 1984 in Russian and held by 25 WorldCat member libraries worldwide
Lagranzhevy mnogoobrazii︠a︡ i metod kanonicheskogo operatora by
Aleksandr Sergeevich Mishchenko(
Book
)
3 editions published in 1978 in Russian and held by 24 WorldCat member libraries worldwide
3 editions published in 1978 in Russian and held by 24 WorldCat member libraries worldwide
C*algebras and elliptic theory by
Bogdan Bojarski(
)
9 editions published in 2006 in English and held by 24 WorldCat member libraries worldwide
This volume contains the proceedings of the conference on "C*algebras and Elliptic Theory" held in Bedlewo, Poland, in February 2004. It consists of original research papers and expository articles focussing on index theory and topology of manifolds. The collection offers a crosssection of significant recent advances in several fields, the main subject being Ktheory (of C*algebras, equivariant Ktheory). A number of papers is related to the index theory of pseudodifferential operators on singular manifolds (with boundaries, corners) or open manifolds. Further topics are Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others. The wide spectrum of subjects reflects the diverse directions of research emanating from the AtiyahSinger index theorem. Contributors: B. Bojarski, J. Brodzki, D. Burghelea, A. Connes, J. Eichhorn, T. Fack, S. Haller, Yu. A. Kordyukov, V. Manuilov, V. Nazaikinskii, G.A. Niblo, F. Nicola, I.M. Nikonov, V. Nistor, L. Rodino, A. Savin, V.V. Sharko, G.I. Sharygin, B. Sternin, K. Thomsen, E.V. Troitsky, E. Vasseli, A. Weber
9 editions published in 2006 in English and held by 24 WorldCat member libraries worldwide
This volume contains the proceedings of the conference on "C*algebras and Elliptic Theory" held in Bedlewo, Poland, in February 2004. It consists of original research papers and expository articles focussing on index theory and topology of manifolds. The collection offers a crosssection of significant recent advances in several fields, the main subject being Ktheory (of C*algebras, equivariant Ktheory). A number of papers is related to the index theory of pseudodifferential operators on singular manifolds (with boundaries, corners) or open manifolds. Further topics are Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others. The wide spectrum of subjects reflects the diverse directions of research emanating from the AtiyahSinger index theorem. Contributors: B. Bojarski, J. Brodzki, D. Burghelea, A. Connes, J. Eichhorn, T. Fack, S. Haller, Yu. A. Kordyukov, V. Manuilov, V. Nazaikinskii, G.A. Niblo, F. Nicola, I.M. Nikonov, V. Nistor, L. Rodino, A. Savin, V.V. Sharko, G.I. Sharygin, B. Sternin, K. Thomsen, E.V. Troitsky, E. Vasseli, A. Weber
C*algebras and elliptic theory II by
Dan Burghelea(
)
8 editions published in 2008 in English and held by 19 WorldCat member libraries worldwide
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and noncommutative spaces. The topics covered include the index of operators, torsion invariants, Ktheory of operator algebras and L2invariants. The results presented in this book, which is largely inspired and stimulated by the AtiyahSinger index theorem, should be of interest to graduates and researchers in mathematical physics, differential topology and differential analysis
8 editions published in 2008 in English and held by 19 WorldCat member libraries worldwide
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and noncommutative spaces. The topics covered include the index of operators, torsion invariants, Ktheory of operator algebras and L2invariants. The results presented in this book, which is largely inspired and stimulated by the AtiyahSinger index theorem, should be of interest to graduates and researchers in mathematical physics, differential topology and differential analysis
Polʹskorusskii matematicheskii slovarʹ by
Nadezhda Efimovna Miklashevskai︠a︡(
Book
)
1 edition published in 1981 in Russian and held by 10 WorldCat member libraries worldwide
1 edition published in 1981 in Russian and held by 10 WorldCat member libraries worldwide
Problemas de geometría diferencial y topología by
Aleksandr Sergeevich Mishchenko(
Book
)
4 editions published in 1994 in Spanish and held by 10 WorldCat member libraries worldwide
4 editions published in 1994 in Spanish and held by 10 WorldCat member libraries worldwide
Sbornik zadač po differencial'noj geometrii i topologii : [učebnoe posobie] by
Aleksandr Sergeevich Mishchenko(
Book
)
10 editions published between 1981 and 2004 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
10 editions published between 1981 and 2004 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
Kurs differencialʹnoj geometrii i topologii by
Aleksandr Sergeevich Mishchenko(
Book
)
8 editions published between 1980 and 2000 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
8 editions published between 1980 and 2000 in Russian and Undetermined and held by 9 WorldCat member libraries worldwide
Surgery on simplyconnected manifolds by
William Browder(
Book
)
2 editions published in 1984 in Russian and held by 5 WorldCat member libraries worldwide
This book is an exposition of the technique of surgery on simplyconnected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simplyconnected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S.P. Novikov [49] and the author [6] for closed 1connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces
2 editions published in 1984 in Russian and held by 5 WorldCat member libraries worldwide
This book is an exposition of the technique of surgery on simplyconnected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simplyconnected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S.P. Novikov [49] and the author [6] for closed 1connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces
Kurs different︠s︡ialʹnoĭ geometrii i topologii by
Aleksandr Sergeevich Mishchenko(
Book
)
3 editions published in 1980 in Russian and held by 5 WorldCat member libraries worldwide
3 editions published in 1980 in Russian and held by 5 WorldCat member libraries worldwide
Lagranževy mnogoobrazija i metod kanoničeskogo operatora by
Aleksandr Sergeevich Mishchenko(
Book
)
2 editions published in 1978 in Russian and held by 5 WorldCat member libraries worldwide
2 editions published in 1978 in Russian and held by 5 WorldCat member libraries worldwide
Metod kanonicheskogo operatora Maslova : kompleksnai︠a︡ teorii︠a︡ by
Aleksandr Sergeevich Mishchenko(
Book
)
in Russian and held by 4 WorldCat member libraries worldwide
in Russian and held by 4 WorldCat member libraries worldwide
Topology of lagrangian manifolds by
Aleksandr Sergeevich Mishchenko(
Book
)
1 edition published in 1990 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 4 WorldCat member libraries worldwide
Ktheory by
Max Karoubi(
Book
)
3 editions published in 1981 in Russian and held by 4 WorldCat member libraries worldwide
3 editions published in 1981 in Russian and held by 4 WorldCat member libraries worldwide
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Kids  General  Special 
Related Identities
 Fomenko, A. T. Author
 Shatalov, V. E. (Viktor Evgenʹevich) Other
 Sternin, B. I︠U︡ Other
 Luke, G. L. (Glenys L.) Author
 Solovyev, Yu. P.
 Troitsky, Evgenij V. Editor
 Solovʹev, I︠U︡. P. (I︠U︡riĭ Pavlovich)
 Mackenzie, Dana Translator
 Bojarski, Bogdan Author Editor
 Melrose, Richard Editor
Useful Links
Associated Subjects
Algebraic topology C*algebras Differential equations Differential equationsAsymptotic theory Differential topology Distribution (Probability theory) Elliptic functions Foliations (Mathematics) Functional analysis Geometry, Differential Global analysis (Mathematics) Global differential geometry Homotopy theory Ktheory Manifolds (Mathematics) Maslov, V. P Mathematics Operator theory Polish language Probabilities Russian language Surgery (Topology) Topological manifolds Topology Transformation groups Vector bundles Vector fields
Covers
Alternative Names
Aleksandr Sergeevitsj Misjtsjenko
Alexander Sergejewitsch Mischtschenko
Alexandr Sergeevich Mishchenko matemático ruso
Alexandr Sergeevich Mishchenko matematico sovietico
Alexandr Sergeevich Mishchenko matematikan rus
Alexandr Sergeevich Mishchenko matematikari sobietarra
Alexandr Sergeevich Mishchenko mathématicien russe
Alexandr Sergeevich Mishchenko Russian mathematician
Michtchenko Aleksandr Sergueevitch
Miščenko, Aleksandr Sergeevič
Miščenko, Aleksandr Sergeevič. [t]
Miŝenko, A. S. 1941
Miŝenko, Aleksandr Sergeevič
Mishchenko, A.
Mishchenko, A. (Alexamder)
Mishchenko, A. (Alexander)
Mishchenko, A. S.
Mishchenko, A. S. (Aleksandr Sergeevich)
Mishchenko Aleksandr Sergeevich
Mishchenko Alexander
Mishchenko Alexander S.
Mishchenko, Alexander Sergeevich.
Mishchenko, Alexander Sergejevich
Miszczenko A. S.
Мищенко, А. С. (Александр Сергеевич)
Мищенко, Александр Сергеевич
Languages