WorldCat Identities

Fomenko, A. T.

Overview
Works: 312 works in 1,134 publications in 8 languages and 9,491 library holdings
Genres: Catalogs  History  Conference papers and proceedings 
Roles: Author, Editor, Interviewee, Other, Illustrator
Publication Timeline
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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 )

56 editions published between 1984 and 2010 in 3 languages and held by 982 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 )

16 editions published between 1991 and 2005 in English and held by 320 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
Homotopical topology by A. T Fomenko( )

13 editions published in 2016 in English and held by 317 WorldCat member libraries worldwide

"This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics--the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes, homology and cohomology, homological algebra--the book treats essential advanced topics, such as obstruction theory, characteristic classes, Steenrod squares, K-theory and cobordism theory, and, with distinctive thoroughness and lucidity, spectral sequences. The organization of the material around the major achievements of the golden era of topology--the Adams conjecture, Bott periodicity, the Hirzebruch-Riemann-Roch theorem, the Atiyah-Singer index theorem, to name a few--paints a clear picture of the canon of the subject. Grassmannians, loop spaces, and classical groups play a central role in mathematics, and therefore in the presentation of this book, as well. A judicious focus on the key ideas, at an appropriate magnification of detail, enables the reader to navigate the breadth of material, confidently, without the disorientation of algebraic minutiae. Many exercises are integrated throughout the text to build up the reader's mastery of concepts and techniques. Numerous technical illustrations elucidate geometric constructions and the mechanics of spectral sequences and other sophisticated methods. Over fifty hauntingly captivating images by A.T. Fomenko artistically render the wondrous beauty, and mystery, of the subject"-- Page 4 of cover
Integrable Hamiltonian systems : geometry, topology, classification by A. V Bolsinov( Book )

22 editions published between 2002 and 2004 in English and Undetermined and held by 312 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."--Jacket
Visual geometry and topology by A. T Fomenko( Book )

14 editions published between 1993 and 2012 in English and held by 311 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
Differential geometry and topology by A. T Fomenko( Book )

11 editions published between 1987 and 1996 in English and Japanese and held by 304 WorldCat member libraries worldwide

Symplectic geometry by A. T Fomenko( Book )

23 editions published between 1988 and 1995 in English and held by 298 WorldCat member libraries worldwide

Basic elements of differential geometry and topology by S. P Novikov( Book )

15 editions published between 1990 and 2010 in English and held by 293 WorldCat member libraries worldwide

One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
Minimal surfaces, stratified multivarifolds, and the Plateau problem by Trong Thi Dao( Book )

11 editions published in 1991 in English and held by 285 WorldCat member libraries worldwide

Plateau's problem is a scientific trend in modern mathematics that unites several different problems connected with the study of minimal surfaces. In its simplest version, Plateau's problem is concerned with finding a surface of least area that spans a given fixed one-dimensional contour in three-dimensional space--perhaps the best-known example of such surfaces is provided by soap films. From the mathematical point of view, such films are described as solutions of a second-order partial differential equation, so their behavior is quite complicated and has still not been thoroughly studied. So
Integrability and nonintegrability in geometry and mechanics by A. T Fomenko( Book )

15 editions published in 1988 in English and held by 276 WorldCat member libraries worldwide

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. 1hen one day, that they can't see the problem. perhaps you will find the final question. G.K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin' . - 1111 Oulik'. n. . Chi"--. - ~ Mm~ Mu, d. ", Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
Topological modeling for visualization by A. T Fomenko( Book )

14 editions published between 1997 and 2013 in English and held by 268 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 )

20 editions published between 1982 and 2014 in 3 languages and held by 257 WorldCat member libraries worldwide

Variational problems in topology : the geometry of length, area and volume by A. T Fomenko( Book )

13 editions published between 1984 and 1990 in English and Russian and held by 240 WorldCat member libraries worldwide

Algorithmic and computer methods for three-manifolds by A. T Fomenko( Book )

21 editions published between 1997 and 2011 in 3 languages and held by 218 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
Géométrie contemporaine : méthodes et applications by B. A Dubrovin( Book )

49 editions published between 1982 and 1987 in 4 languages and held by 210 WorldCat member libraries worldwide

The Plateau problem by A. T Fomenko( Book )

16 editions published between 1989 and 1990 in English and held by 192 WorldCat member libraries worldwide

Modern geometry, methods and applications by B. A Dubrovin( Book )

43 editions published between 1984 and 2010 in 3 languages and held by 188 WorldCat member libraries worldwide

Manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practic able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S.P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S.P. Novikov and A.T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, re-ordering, and ex tensive elaboration of the above-mentioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S.P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B.A. Dubrovin
Empirico-statistical analysis of narrative material and its applications to historical dating by A. T Fomenko( )

17 editions published in 1994 in English and held by 186 WorldCat member libraries worldwide

These two volumes which concern mathematical statistical chronology represent a major, unique work and are the first of its kind published in the English language. A comprehensive set of mathematical and statistical techniques is presented for the analysis of chronological data. These include, as main tool, the means to compare texts and other sequential data and the ability to judge them in terms of similarity and, hence, closeness. These techniques constitute a new important trend in applied statistics. Volume I concentrates mainly on the development of the mathematical statistical tools and their application to astronomical data, including the Almagest and simulated data (to test the validity of the methods). Substantial material dealing with historical data and chronology is also included. Volume II concentrates on the application of these tools to narrative texts and ancient and medieval records (such as Egyptian, Byzantine, Roman, Greek, Babylonian, etc.). An astonishing wealth of historical data is considered. The conclusions which are drawn concerning the accepted chronological dating of events in ancient history will certainly provoke controversy and serious debate. These two volumes provide the necessary background and material for intelligent participation in such debates. For statisticians, historians, astronomers, archaeologists, and others with an interest in the integrity of historical dating and the means to analyze this
Homotopic topology by D. B Fuks( Book )

17 editions published between 1986 and 2016 in English and Undetermined and held by 179 WorldCat member libraries worldwide

Integrable systems on Lie algebras and symmetric spaces by A. T Fomenko( Book )

13 editions published between 1987 and 1998 in English and held by 171 WorldCat member libraries worldwide

 
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Modern geometry--methods and applications
Alternative Names
Anatoli Fomenko

Anatoli Fomenko matematician rus

Anatoli Fomenko matemático ruso

Anatoli Fomenko matematikan rus

Anatoli Fomenko mathématicien russe

Anatoli Fomenko Russisch wiskundige

Anatoli Fomenko Venemaa matemaatik

Anatoli Timofejewitsch Fomenko russischer Mathematiker und Dozent an der Lomonossow-Universität in Moskau

Anatoli Timofeyewic Fomenko

Anatolij Fomenko

Anatolij Fomenko russisk matematikar

Anatolij Fomenko russisk matematiker

Anatolij Fomenko rysk matematiker

Anatolij Fomienko

Anatolij Timofeevič Fomenko pseudoscienziato, matematico e fisico russo

Anatolij Timofejevič Fomenko

Anatolij Tyimofejevics Fomenko orosz matematikus, akadémikus

Anatoly Fomenko matemàtic rus

Anatoly Fomenko Russian mathematician

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, Anatoliĭ Timofeevich 1945-

Fomenko, Anatolij.

Fomenko, Anatolij 1945-

Fomenko, Anatolij T.

Fomenko, Anatolij T. 1945-

Fomenko, Anatolij Timofeevič

Fomenko, Anatolij Timofeevič 1945-...

Fomenko, Anatolij Timoofeevič 1945-

Fomenko, Anatoliy T. 1945-

Fomenko, Anatolji 1945-

Fomenko, Anatoly.

Fomenko, Anatoly 1945-

Fomenko, Anatoly T. 1945-

Fomenko, Anatoly Timofeevich

Fomenko-Nosovskij, .. 1945-

Fomenko-Nosovskogo, .. 1945-

Ανατόλι Φομένκο

Анатолий Фоменко

Анатолиј Фоменко

Фоменко, А. Т.

Фоменко, А.Т 1945-

Фоменко, Анатолий Тимофеевич

Фоменко Анатолий Тимофеевич 1945-....

Фоменко Анатолій Тимофійович

Фоменко Анатолій Тимофійович Радянський та російський математик українського походження

آناتولی فومنکو ریاضی‌دان روسی

アナトリー・フォメンコ

阿纳托利·季莫费耶维奇·福缅科

Languages
Covers
Integrable Hamiltonian systems : geometry, topology, classificationDifferential geometry and topologySymplectic geometryBasic elements of differential geometry and topologyIntegrability and nonintegrability in geometry and mechanicsTopological modeling for visualizationVariational principles of topology : multidimensional minimal surface theoryAlgorithmic and computer methods for three-manifolds