WorldCat Identities

Fomenko, A. T.

Works: 387 works in 1,228 publications in 6 languages and 10,106 library holdings
Genres: Catalogs  Classification  History  Conference papers and proceedings  Academic theses 
Roles: Author, Editor, Interviewee, Other, htt, Illustrator
Classifications: QA445, 516
Publication Timeline
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 )

66 editions published between 1984 and 2010 in 3 languages and held by 958 WorldCat member libraries worldwide

Modern geometry:Methods and appli./Dubrovin ...-v.1
Homotopical topology by Anatoly Fomenko( )

16 editions published between 2016 and 2018 in English and Undetermined and held by 384 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
Visual geometry and topology by A. T Fomenko( Book )

16 editions published between 1993 and 2012 in English and German and held by 346 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
Elements of the geometry and topology of minimal surfaces in three-dimensional space by A. T Fomenko( Book )

19 editions published between 1991 and 2005 in English and held by 344 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
Integrable Hamiltonian systems : geometry, topology, classification by A. V Bolsinov( Book )

23 editions published between 2002 and 2019 in English and Undetermined and held by 327 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."--Résumé de l'éditeur
Minimal surfaces, stratified multivarifolds, and the Plateau problem by Trong Thi Dao( Book )

12 editions published in 1991 in English and held by 315 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
Basic elements of differential geometry and topology by S. P Novikov( Book )

20 editions published between 1987 and 2010 in English and Russian and held by 314 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
Symplectic geometry by A. T Fomenko( Book )

26 editions published between 1988 and 1995 in English and held by 309 WorldCat member libraries worldwide

Differential geometry and topology by A. T Fomenko( Book )

11 editions published between 1987 and 1996 in English and Japanese and held by 307 WorldCat member libraries worldwide

Topological modeling for visualization by Anatolij Timofeevič Fomenko( Book )

16 editions published between 1997 and 2013 in English and German and held by 306 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
Integrability and nonintegrability in geometry and mechanics by A. T Fomenko( Book )

16 editions published in 1988 in English and held by 300 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
Variational problems in topology : the geometry of length, area and volume by A. T Fomenko( Book )

17 editions published between 1984 and 2020 in English and Russian and held by 298 WorldCat member libraries worldwide

Many of the modern variational problems of topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics. In this work, Professor Fomenko offers a concise and clear explanation of some of these problems (both solved and unsolved), using current methods of analytical topology. His book falls into three interrelated sections. The first gives an elementary introduction to some of the most important concepts of topology used in modern physics and mechanics: homology and cohomology, and fibration. The second investigates the significant role of Morse theory in modern aspects of the topology of smooth manifolds, particularly those of three and four dimensions. The third discusses minimal surfaces and harmonic mappings, and presents a number of classic physical experiments that lie at the foundations of modern understanding of multidimensional variational calculus. The author's skilful exposition of these topics and his own graphic illustrations give an unusual motivation to the theory expounded, and his work is recommended reading for specialists and non-specialists alike, involved in the fields of physics and mathematics at both undergraduate and graduate levels
Variational principles of topology : multidimensional minimal surface theory by A. T Fomenko( Book )

19 editions published between 1982 and 1990 in 3 languages and held by 254 WorldCat member libraries worldwide

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

22 editions published between 1997 and 2011 in 3 languages and held by 247 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 Anatolij Timofeevič Fomenko( Book )

15 editions published between 1989 and 1990 in English and held by 196 WorldCat member libraries worldwide

Homotopic topology by D. B Fuks( Book )

19 editions published between 1986 and 2016 in English and Undetermined and held by 194 WorldCat member libraries worldwide

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

14 editions published between 1987 and 1998 in English and held by 178 WorldCat member libraries worldwide

Based on research data, this book sets out new regular methods for realizing Hamilton's canonical equations in Lie algebras and symmetric spaces, concluding with the proof of the full integrability of a wide range of many-parameter families of Hamiltonian systems that allow algebraicization
Minimal surfaces by A. T Fomenko( Book )

13 editions published in 1993 in English and Russian and held by 176 WorldCat member libraries worldwide

This book contains recent results from a group focusing on minimal surfaces in the Moscow State University seminar on modern geometrical methods, headed by A.V. Bolsinov, A.T. Fomenko, and V.V. Trofimov. The papers collected here fall into three areas: one-dimensional minimal graphs on Riemannian surfaces and the Steiner problem, two-dimensional minimal surfaces and surfaces of constant mean curvature in three-dimensional Euclidean space, and multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. The volume opens with an exposition of several important problems in
Topological classification of integrable systems by A. T Fomenko( Book )

12 editions published in 1991 in English and Russian and held by 174 WorldCat member libraries worldwide

In recent years, researchers have found new topological invariants of integrable Hamiltonian systems of differential equations and have constructed a theory for their topological classification. Each paper in this important collection describes one of the âeoebuilding blocksâe#x9D; of the theory, and several of the works are devoted to applications to specific physical equations. In particular, this collection covers the new topological invariants of integrable equations, the new topological obstructions to integrability, a new Morse-type theory of Bott integrals, and classification of bifurcation
History, fiction or science? : Chronology 1 by A. T Fomenko( Book )

10 editions published between 2003 and 2006 in English and held by 162 WorldCat member libraries worldwide

This is a seven volume treatise on historical dating and scientific arguments regarding the truth or falsehoods in currently accepted historical concepts. It claims the 16th century as the time during which history was created by medieval scribes and cemented by the power of the ecclesial authorities. It is theorized for example that Jesus was actually born in 1053 A.D. and crucified in 1086 A.D.; the Old Testament refers to medieval events and the Apocalyse was written after 1486 A.D
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Audience Level
Audience Level
  Kids General Special  
Audience level: 0.65 (from 0.31 for Antifomenk ... to 0.86 for Teoria deg ...)

Modern geometry--methods and applications
Integrable Hamiltonian systems : geometry, topology, classificationBasic elements of differential geometry and topologySymplectic geometryDifferential geometry and topologyTopological modeling for visualizationIntegrability and nonintegrability in geometry and mechanicsVariational principles of topology : multidimensional minimal surface theoryAlgorithmic and computer methods for three-manifoldsHistory, fiction or science? : Chronology 1
Alternative Names
Anatoli Fomenko

Anatoli Fomenko matematician rus

Anatoli Fomenko matemático ruso

Anatoli Fomenko matemático russo

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 ruský matematik

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

Fomenko Anatoli Timofeevich 1945-....

Fomenko, Anatoli Timofeïevitch

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.

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

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آناتولی فومنکو ریاضی‌دان روسی