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Variational Problems In Topology

Author : A.T. Fomenko
ISBN : 9781351405676
Genre : Mathematics
File Size : 32.73 MB
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Many of the modern variational problems of topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics. In this work, Professor Fomenko offers a concise and clear explanation of some of these problems (both solved and unsolved), using current methods of analytical topology. His book falls into three interrelated sections. The first gives an elementary introduction to some of the most important concepts of topology used in modern physics and mechanics: homology and cohomology, and fibration. The second investigates the significant role of Morse theory in modern aspects of the topology of smooth manifolds, particularly those of three and four dimensions. The third discusses minimal surfaces and harmonic mappings, and presents a number of classic physical experiments that lie at the foundations of modern understanding of multidimensional variational calculus. The author's skilful exposition of these topics and his own graphic illustrations give an unusual motivation to the theory expounded, and his work is recommended reading for specialists and non-specialists alike, involved in the fields of physics and mathematics at both undergraduate and graduate levels.
Category: Mathematics

Popular Astronomy

Author :
ISBN : UCSC:32106011291827
Genre : Astronomy
File Size : 36.69 MB
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Category: Astronomy

Topology Of Algebraic Varieties And Singularities

Author : Anatoly Libgober
ISBN : 9780821848906
Genre : Mathematics
File Size : 38.72 MB
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This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain. The volume contains four parts corresponding to the four main focal points of the conference: algebraic geometry and fundamental groups, braids and knots, hyperplane arrangements, and singularities. Together, the papers provide an overview of the current status of a broad range of topological questions in Algebraic Geometry.
Category: Mathematics


Author :
ISBN : UOM:39015000508476
Genre : Navigation (Aeronautics)
File Size : 75.32 MB
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Category: Navigation (Aeronautics)