WorldCat Identities

Fomenko, A. T.

Works: 359 works in 1,171 publications in 6 languages and 9,576 library holdings
Genres: Catalogs  History  Conference papers and proceedings 
Roles: Author, Editor, Interviewee, Illustrator, htt, Other
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 )

80 editions published between 1984 and 2010 in English and Multiple languages and held by 767 WorldCat member libraries worldwide

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e
Modern geometry--methods and applications by B. A Dubrovin( Book )

26 editions published between 1984 and 2000 in 3 languages and held by 392 WorldCat member libraries worldwide

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

17 editions published between 2016 and 2018 in English and Undetermined and held by 355 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
Minimal surfaces, stratified multivarifolds, and the Plateau problem by Trong Thi Dao( Book )

19 editions published between 1987 and 1991 in English and Russian and held by 329 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
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 327 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
Visual geometry and topology by A. T Fomenko( Book )

14 editions published between 1993 and 2012 in English and held by 321 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
Integrable Hamiltonian systems : geometry, topology, classification by A. V Bolsinov( Book )

21 editions published between 2002 and 2004 in English and Undetermined and held by 311 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
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

Symplectic geometry by A. T Fomenko( Book )

24 editions published between 1988 and 1995 in English and held by 304 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 301 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
Integrability and nonintegrability in geometry and mechanics by A. T Fomenko( Book )

15 editions published in 1988 in English and held by 284 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 282 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 )

18 editions published between 1982 and 1990 in 3 languages and held by 251 WorldCat member libraries worldwide

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

12 editions published between 1984 and 1990 in English and Russian and held by 239 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 231 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
Homotopic topology by D. B Fuks( Book )

17 editions published between 1986 and 2016 in English and Undetermined and held by 186 WorldCat member libraries worldwide

The Plateau problem by A. T Fomenko( Book )

13 editions published between 1989 and 1990 in English and held by 185 WorldCat member libraries worldwide

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

12 editions published between 1987 and 1998 in English and held by 173 WorldCat member libraries worldwide

History, fiction or science? : Chronology 1 by A. T Fomenko( Book )

9 editions published between 2003 and 2006 in English and held by 169 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
Minimal surfaces by A. T Fomenko( Book )

12 editions published in 1993 in English and Russian and held by 156 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
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Audience level: 0.65 (from 0.27 for History, f ... to 0.88 for Teoria deg ...)

Modern geometry--methods and applicationsIntegrable 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 theory
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 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

آناتولی فومنکو ریاضی‌دان روسی