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Modern Geometry ― Methods and Applications book cover
Modern Geometry ― Methods and Applications
Part I: The Geometry of Surfaces, Transformation Groups, and Fields
1984
First Published
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This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.
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Authors

A.T. Fomenko
A.T. Fomenko
Author · 7 books

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.

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