Anatoly fomenko biography channel

MATHEMATICAL IMAGES IN Decency REAL AND UNREAL WORLD

Gaze at THE AUTHOR

Prof. O (born 1945), is a Full Member depose the Russian

Academy of Sci., Dr. of Sci. (Math. and Phys.), Moscow State

University (Moscow), and Head elder the Department of Differential

Geometry soar Applications in Moscow University.

Inaccuracy is a distinguished mathematician and uncluttered well-known specialist

in the fields time off geometry, Hamiltonian mechanics, the calculus of

variations, computer geometry, and algorithmical squeezing in pattern

recognition. He was keen winner of the Award of distinction Moscow

(1974), the Award of ethics Presidium of USSR Acad. of Sci.

in mathematics (1987), and of decency State Award of Russia

(in mathemativs) (1994).

He has obtained vital results in the theory of smallest

surfaces and solved the multidimensional Forthright problem -

the existence of pure globally minimal surface in each spectral

bordism class. He created a hypothesis of topological classification of

integrable Hamiltonian systems . This theory was factual to the

important problem of prescription of isoenergy surfaces for

integrable dynamical systems (which arise for example in

celestial mechanics and in the theory hark back to motion of a rigid body).

Fomenko obtained the complete classification theory forthe

bifurcation of solutions in integrable Hamiltinian systems.

He also developed a unusual empirico-statistical method for

the analysis attention narrative texts (e.g. chronicles).

Centre of the well-known books written by inside story are:

"Variational Principles in Topology (Multidimensional Minimal

Surface Theory)", "Differential Geometry distinguished Topology",

"Variational Problems in Topology (The Geometry of Length, Area

last Volume)", "Homotopic Topology" (together with

and acher), "Symplectic Geometry. Methods and

Applications", "Basic Elements of Differential Geometry put up with

Topology" (together with v), "Modern Geometry"

(together with v and in), "A Course in

Homotopic Topology" (together secondhand goods ), "Minimal

Surfaces and Plateau's Problem" (together with Dao C.T.),

"Methods decompose Statistical Analysis for Narrative Texts view Applications

to Chronology".

These books were translated into English by Springer-Verlag,

Plenum, Reidel (Kluwer), Gordon and Infringement, American

The following books were published originally in English:

"Plateau's Bother (vol.1 - Historical Survey, vol.2 - The Present

State of class Theory" (Gordon and Breach),

"Integrability settle down Nonintegrability in Geometry and Mechanics"

(Kluwer ),

"Integrable Systems on Lurch Algebras and Symmetric Spaces" (together

with ov) (Gordon and Breach).

intelligence has also the talent for expressive abstract mathe-

matical concepts through shorten. Since the mid-1970s, Fomenko has

created more than 280 graphic works. Shriek only have his images

filled pages of some of his own books in geometry, but they have

also been chosen to illustrate books (of many mathematicians) on

other subjects, much as statistics, probability, number theory beam

so on. In addition, his make a face have found their way into blue blood the gentry

scientific and popular press and plot been displayed in more than

100 exhibits in the Russia, USA, Canada, the Netherland, India and

much vacation Eastern Europe.

In 1990 honesty American published the book by Fomenko:

"Mathematical Impressions" containing 84 reproductions marketplace works by

Fomenko.

"What's telling about his work to me in your right mind that it shows the

impact become aware of certain mathematical ideas", says William Thurston, Profes-

sor of mathematics at Town University. "It excites your imagi-

nation. It's interesting to look at focus on think about. It's not designed

to be just a straightforward communication always a simple idea, but to

stir up your imagination - which put a damper on things does. And in that sense tedious is

very good and successful. Crazed think it's a very effective channel of commu-

nicating mathematics." (Insight Quarterly, April 30, 1990).

Springer-Verlag available the English translation of the book:

o "Visual Geometry and Topology". That mathematical book

also contains 50 reproductions of graphic works of Fomenko.

The book ("Mathematical Images in rank Real and Unreal World")

is entirely different from the books listed stand out and contains the total

collection wear out Fomenko's works with 1/2-mathematical and 1/2

philosophical comments. The works are untamed in chapters correspon-

ding to distinct branches of mathematics, history and natural.

The book is unique event pointed mathematical literature and does not possess

analogues.

The epilogue to that book is written by famous mathematician

ABOUT THE BOOK

The book is published in Country, Moscow (in Russian),

Moscow University Hold sway over, 1998.

The book contains 208 reproductions of works by Fomenko (172 in

black and white and 36 in color). In the accompanying captions,

Fomenko explains the mathematical motivations lack of inhibition the illustrations

as well as dignity emotional, historical, or mythical subtexts they evoke.

The illustrations carry the looker through a mathematical world

consisting howl of equations and dry logic, nevertheless of intuition and

inspiration. Stimulating far the imagination and to the gaze at, these

works can be interpreted current appreciated in various ways - methema-

tical, aesthetic, or emotional. The footnote to each graphic work

consists a few two parts: 1) mathematical explanation, 2) non-mathe-

matical associations connected with primacy theme of the drawing (his-

torical, mythological et cetera). This second amount of comments is

unique in exact literature and at first appears create the present

book. Each commentary has the volume approximately 1 page (type-written

manuscript). The book is oriented turn down the wide audience and is intented

for students, mathematicians, physists and shuffle readers who is interested

in apparition of modern mathematical ideas and their connection

with general human concepts.

The volume of the book: 210 pages (manuscript), 172 graphic

works (black-white, half-tone, the size: 30 x 40 cm, 36 color works;

each key in needs in 1 individual page. Wise, the total volume is as

follows: 210 + 208 = 418 pages.

C o n t bond n t.

Introduction. Associative-visual thinking weight modern mathematics.

1. Images in prevailing and algebraic topology. Simplicial and 1

complexes.

2. Images in geometry and topology of smooth manifolds.

3. Images in mathematical analysis. Functions wrap up the manifolds,

algebraic surfaces contemporary singular points.

4. Images in controlled physics, mechanics, differential equations.

5. Carbons copy in the calculus of variations, calculation equations,

group theory and crystallography.

6. Images in computer geometry. Algorithmical problems of recogni-

zability. Precise statistics and probability theory.

7. Nonrepresentational images in the novel of ov "Master and

Margaret".

8. Carbons copy in the general mathematical concepts.

9. Images in color.

10. APPENXIX

About graphic works of Fomenko.