A01=A.T. Fomenko
Ambient Manifold
Areal Functional
Author_A.T. Fomenko
Barycentric Subdivision
Boundary Frame
calculus of variations
Category=PBPH
Contracting Deformation
critical point theory
differential topology
Dirichlet Functional
Dirichlet Problem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euler Lagrange Equations
Finite Dimensional Manifold
Free Abelian
geometric analysis
harmonic mappings
Homology Group
Homotopy Groups
Kirchhoff Type Equations
mathematical physics applications
Minimal Submanifold
Minimal Surface
minimal surfaces
modern geometry
Morse Function
Morse theory
Non-degenerate Critical Points
Riemannian Manifold
Riemannian Metric
Separating Vertex
Singular Homology
Smooth Manifold
Smooth Riemannian Manifold
Soap Films
Standard Sphere
undergraduate mathematics
variational methods in topology
variational topological problems
Product details
- ISBN 9782881247408
- Weight: 453g
- Dimensions: 152 x 229mm
- Publication Date: 01 Jan 1990
- Publisher: Gordon & Breach Science Publishers SA
- Publication City/Country: NL
- Product Form: Hardback
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Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics. In this work, Professor Fomenko offers a concise and clean explanation of some of these problems (both solved and unsolved), using current methods and analytical topology. The author's skillful exposition gives an unusual motivation to the theory expounded, and his work is recommended reading for specialists and nonspecialists alike, involved in the fields of physics and mathematics at both undergraduate and graduate levels.
Professor Anatolii Fomenko was educated at Moscow State University. He earned his DSc in 1972, and in 1974 he won the Moscow Mathematical Society Award for his doctoral thesis. Professor Fomenko has obtained fundamental results in the fields of geometry, topology and multidimensional variational calculus, and is also a successful teacher and specialist in scientific methodology.
