Algorithmic and Computer Methods for Three-Manifolds

by A.T. Fomenko, S.V. Matveev

One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

352 pages, Hardcover

First published October 31, 1997

About the author

Anatoly Timofeevich Fomenko is a full Member (Academician) of the Russian Academy of Sciences, Full Member of the International Higher Education Academy of Sciences,Doctor of Physics and Mathematics, Professor, Head of the Moscow State University Section of Mathematics of the Department of Mathematics and Mechanics.Solved Plateau's Problem from the theory of minimal spectral surfaces. Author of the theory of invariants and topological classification of integrable Hamiltonian dynamic systems.

Author of 200 scientific publications, 28 monographs and textbooks on mathematics, a specialist in geometry and topology, calculus of variations, symplectic topology, Hamiltonian geometry and mechanics, computer geometry.

Author of a number of books on the development of new empirico-statistical methods and their application to the analysis of historical chronicles as well as the chornology of antiquity and the Middle Ages.

Many Russian scientists do not accept the "New Chronology" declaring it pseudoscientific, yet no mathematical calculations on which the New Chronology is based have been proved wrong. The supporters of the New Chronology include Garry Kasparov, a former chess champion, whom many consider the greatest chess player of all time.