WorldCat Identities

Trofimov, V. V. 1952-

Overview
Works: 19 works in 58 publications in 2 languages and 566 library holdings
Roles: Author, Editor, htt
Classifications: QA312, 517.3
Publication Timeline
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Most widely held works by V. V Trofimov
Introduction to geometry of manifolds with symmetry by V. V Trofimov( Book )

15 editions published between 1994 and 2011 in English and held by 227 WorldCat member libraries worldwide

One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description of real physical space. Apriorization of geometrical notions and identification of physical 3 space with its mathematical modellR were characteristic for these views. The discovery of non-Euclidean geometries led mathematicians to the understanding that Euclidean geometry is nothing more than one of many logically admissible geometrical systems. Relativity theory amended our understanding of the problem of space by amalgamating space and time into an integral four-dimensional manifold. One of the most important problems, lying at the crossroad of natural sciences and philosophy is the problem of the structure of the world as a whole. There are a lot of possibilities for the topology offour­ dimensional space-time, and at first sight a lot of possibilities arise in cosmology. In principle, not only can the global topology of the universe be complicated, but also smaller scale topological structures can be very nontrivial. One can imagine two "usual" spaces connected with a "throat", making the topology of the union complicated
Integrable systems on Lie algebras and symmetric spaces by A. T Fomenko( Book )

11 editions published between 1987 and 1998 in English and held by 172 WorldCat member libraries worldwide

Tensor and vector analysis : geometry, mechanics, and physics by A. T Fomenko( Book )

8 editions published between 1996 and 1998 in English and held by 127 WorldCat member libraries worldwide

Vvedenie v geometrii︠u︡ mnogoobraziĭ s simmetrii︠a︡mi by V. V Trofimov( Book )

1 edition published in 1989 in Russian and held by 12 WorldCat member libraries worldwide

Vvedenie v geometriju mnogoo'razij s simmetrijami by V. V Trofimov( Book )

4 editions published in 1989 in Russian and held by 4 WorldCat member libraries worldwide

Dynamical systems by A. T Fomenko( )

1 edition published in 1993 in English and held by 4 WorldCat member libraries worldwide

This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified exposition of the earlier work on nonholonomic problems. There is a detailed discussion of the dynamical properties of the nonholonomic geodesic flow and of various related concepts, such as nonholonomic exponential mapping, nonholonomic sphere, etc. Other surveys treat various aspects of integrable Hamiltonian systems, with an emphasis on Lie-algebraic constructions. Among the topics covered are: the generalized Calogero-Moser systems based on root systems of simple Lie algebras, a ge- neral r-matrix scheme for constructing integrable systems and Lax pairs, links with finite-gap integration theory, topologicalaspects of integrable systems, integrable tops, etc. One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Lie-algebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics
Geometric measure theory by Herbert Federer( Book )

3 editions published in 1987 in Russian and held by 3 WorldCat member libraries worldwide

From the reviews: "... Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author writes with a distinctive style which is both natural and powerfully economical in treating a complicated subject. This book is a major treatise in mathematics and is essential in the working library of the modern analyst." Bulletin of the London Mathematical Society
Integrable systems on Lie algebras and symmetric speces by A. T Fomenko( Book )

1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide

Vvedenie v geometriû mnogoobrazij s simmetriâmi [Texte imprimé] by V. V Trofimov( Book )

1 edition published in 1989 in Russian and held by 2 WorldCat member libraries worldwide

Vvedenie v geometriû mnogoobrazij s simmetriâmi by V. V Trofimov( Book )

2 editions published in 1989 in Russian and held by 2 WorldCat member libraries worldwide

Algebra i geometrija integriruemych gamilʹtonovych differencialʹnych uravnenij by V. V Trofimov( Book )

2 editions published between 1992 and 1995 in Russian and held by 2 WorldCat member libraries worldwide

Algebra i geometria integriruemyh gamilʹtonovyh differencialʹnyh uravnenij by V. V Trofimov( Book )

1 edition published in 1995 in Russian and held by 1 WorldCat member library worldwide

Algebra i geometrii︠a︡ integriruemykh gamilʹtonovykh different︠s︡ialʹnykh uravneniĭ by V. V Trofimov( Book )

1 edition published in 1995 in Russian and held by 1 WorldCat member library worldwide

Simmetricheskie prostranstva by Ottmar Loos( Book )

1 edition published in 1985 in Russian and held by 1 WorldCat member library worldwide

O redkih životnyh mira : kniga dlâ učaŝihsâ by Igor' Petrovič Sosnovskij( Book )

1 edition published in 1987 in Russian and held by 1 WorldCat member library worldwide

Algebra i geometrija integriruemyh gamiljtonovyh differencialjnyh uravnenij by V. V Trofimov( Book )

1 edition published in 1995 in Russian and held by 1 WorldCat member library worldwide

Sovremennyj russkij literaturnyj âzyk : Morfologiâ by V. V Trofimov( Book )

2 editions published in 1957 in Russian and held by 1 WorldCat member library worldwide

Sovremennyj russkij literaturnyj âzyk : Fonetika, grafika by V. V Trofimov( Book )

2 editions published in 1957 in Russian and held by 1 WorldCat member library worldwide

 
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Audience Level
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Audience Level
1
  Kids General Special  
Audience level: 0.70 (from 0.61 for Simmetrich ... to 0.99 for Vvedenie v ...)

Introduction to geometry of manifolds with symmetry
Covers
Tensor and vector analysis : geometry, mechanics, and physics
Alternative Names
Trofimov, V. V.

Trofimov, V. V. 1952-

Trofimov, Valerii V. 1952-

Trofimov, Valeriĭ Vladimirovich 1952-

Trofimov, Valerij Vladimirovich 1952-

Trofimov, Valery Vladimirovich

Trofimov, Valery Vladimirovitch

Трофимов, Валерий Владимирович

Трофимов, Валерий Владимирович 1952-...

Languages
English (36)

Russian (22)