WorldCat Identities

Fomenko, A. T.

Overview
Works: 252 works in 686 publications in 4 languages and 7,366 library holdings
Genres: Catalogs  Classification  Conference proceedings 
Roles: Editor, Illustrator
Classifications: QA445, 516
Publication Timeline
Key
Publications about  A. T Fomenko Publications about A. T Fomenko
Publications by  A. T Fomenko Publications by A. T Fomenko
Most widely held works about A. T Fomenko
 
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Most widely held works by A. T Fomenko
Modern geometry--methods and applications by B. A Dubrovin ( Book )
15 editions published between 1984 and 1992 in English and Multiple languages and held by 797 WorldCat member libraries worldwide
Modern geometry:Methods and appli./Dubrovin...-v.1
Elements of the geometry and topology of minimal surfaces in three-dimensional space by A. T Fomenko ( Book )
10 editions published between 1991 and 2005 in English and held by 293 WorldCat member libraries worldwide
This book grew out of lectures presented to students of mathematics, physics, and mechanics by A.T. Fomenko at Moscow University, under the auspices of the Moscow Mathematical Society. The book describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. The main topics covered are: topological properties of minimal surfaces, stable and unstable minimal films, classical examples, the Morse-Smale index of minimal two-surfaces in Euclidean space, and minimal films in Lobachevskian space. Requiring only a standard first-year calculus and elementary notions of geometry, this book brings the reader rapidly into this fascinating branch of modern geometry
Differential geometry and topology by A. T Fomenko ( Book )
8 editions published in 1987 in English and held by 280 WorldCat member libraries worldwide
Symplectic geometry by A. T Fomenko ( Book )
13 editions published between 1988 and 1995 in English and held by 268 WorldCat member libraries worldwide
Minimal surfaces, stratified multivarifolds, and the Plateau problem by Trong Thi Dao ( Book )
7 editions published in 1991 in English and held by 266 WorldCat member libraries worldwide
Integrable Hamiltonian systems : geometry, topology, classification by A. V Bolsinov ( Book )
14 editions published between 2002 and 2004 in English and held by 255 WorldCat member libraries worldwide
"Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularities, and topological invariants."--BOOK JACKET
Visual geometry and topology by A. T Fomenko ( Book )
12 editions published between 1993 and 2012 in English and held by 238 WorldCat member libraries worldwide
Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material". These pictures illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages
Basic elements of differential geometry and topology by S. P Novikov ( Book )
10 editions published in 1990 in English and held by 218 WorldCat member libraries worldwide
Integrability and nonintegrability in geometry and mechanics by A. T Fomenko ( Book )
11 editions published between 1988 and 2013 in English and held by 212 WorldCat member libraries worldwide
Variational problems in topology : the geometry of length, area and volume by A. T Fomenko ( Book )
10 editions published between 1984 and 1990 in 3 languages and held by 208 WorldCat member libraries worldwide
Topological modeling for visualization by A. T Fomenko ( Book )
9 editions published between 1997 and 2013 in English and German and held by 202 WorldCat member libraries worldwide
The main goal of this textbook is to establish a bridge between the theoretical aspects of modern geometry and topology on the one hand and computer experimental geometry on the other. Thus the theory and application of mathematical visualization are given equal emphasis. This, along with the ample illustrations and the fact that each chapter is designed as an independent unit, makes Topological Modeling for Visualization a unique book in its field. The two internationally famous authors, A. T. Fomenko and T. L. Kunii, thoroughly explain the necessary mathematical techniques so that undergraduate students with only a grounding in high-school mathematics can benefit from using this book. While linear problems are covered, the emphasis is on nonlinear problems, with many examples relating to natural phenomena and todays abundant information sources. Students in the fields of mathematics and computing will find it rigorous enough to serve as a basic text in differential geometry and topology, while students from fields as diverse as cognitive science and economics who need to solve nonlinear problems will find this book indispensable
Variational principles of topology : multidimensional minimal surface theory by A. T Fomenko ( Book )
8 editions published in 1990 in English and held by 196 WorldCat member libraries worldwide
Homotopic topology by D. B Fuks ( Book )
9 editions published in 1986 in English and Undetermined and held by 171 WorldCat member libraries worldwide
Integrable systems on Lie algebras and symmetric spaces by A. T Fomenko ( Book )
10 editions published between 1987 and 1998 in English and held by 159 WorldCat member libraries worldwide
Algorithmic and computer methods for three-manifolds by A. T Fomenko ( Book )
12 editions published between 1997 and 2011 in English and held by 156 WorldCat member libraries worldwide
This monograph presents a comprehensive coverage of three-dimensional topology, as well as exploring some of its frontiers. Many important applied problems of mechanics and theoretical physics can be reduced to algorithmic problems of three-dimensional topology, which can then be solved using computers. Although much progress in this field has been made in recent years, these results have not been readily accessible to a wider audience up to now. This book is based on courses the authors have given over several years, and summarises the most outstanding achievements of modern computer topology. Audience: This book will be of interest to graduate students and researchers whose work involves such diverse disciplines as physics, mathematics, computer programmes for spline theory and its applications, geometrical modelling, geometry, and topology. The illustrations by A.T. Fomenko, drawn especially for this work, add great value and extra appeal
The Plateau problem by A. T Fomenko ( Book )
9 editions published in 1990 in English and held by 149 WorldCat member libraries worldwide
New results in the theory of topological classification of integrable systems ( Book )
6 editions published between 1994 and 1995 in English and held by 136 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 130 WorldCat member libraries worldwide
Minimal surfaces ( Book )
7 editions published in 1993 in English and Undetermined and held by 126 WorldCat member libraries worldwide
Topological classification of integrable systems ( Book )
5 editions published in 1991 in English and held by 118 WorldCat member libraries worldwide
 
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Audience level: 0.81 (from 0.47 for Spiralʹ vr ... to 1.00 for Antifomenk ...)
Alternative Names
Fomenko, A.
Fomenko, A. 1945-
Fomenko, A. (Anatoly)
Fomenko, A. T.
Fomenko, A. T. 1945-
Fomenko, A. T. (Anatolij Timofeevič), 1945-
Fomenko, Anatole
Fomenko, Anatole 1945-
Fomenko Anatoli Timofeevich 1945-....
Fomenko, Anatolii T.
Fomenko, Anatoliǐ T. 1945-
Fomenko, Anatoliĭ Timofeevich
Fomenko, Anatolii Timofeevich 1945-
Fomenko, Anatolij.
Fomenko, Anatolij 1945-
Fomenko, Anatolij Timofeevič 1945- Vollstaendiger Name
Fomenko, Anatoliy T. 1945-
Fomenko, Anatoly
Fomenko, Anatoly 1945-
Fomenko-Nosovskij, ... 1945-
Fomenko-Nosovskogo, ... 1945-
Фоменко, А. Т.
Фоменко, Анатолий Тимофеевич, 1945-
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