A Short Course in Differential Geometry and Topology

by A.T. Fomenko

This volume is intended for graduates and research students in mathematics and physics. It covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis, and Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by examples, problems, drawings and appendices.

350 pages, Hardcover

First published January 1, 2009

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.