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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.
"synopsis" may belong to another edition of this title.
Review:
"A superior exposition of topology...If a student (foolishly) wanted to own just one book in topology, I might (sensibly) recommend this one."
-H. Cohn of Mathematics Program, Graduate Center, CUNY
Synopsis:
-H. Cohn of Mathematics Program, Graduate Center, CUNY
In this work, Professor Fomenko offers an explanation of both solved and unsolved problems in current methods of analytical topology. After an elementary introduction to homology, cohomology and fibration, he studies the role of Morse theory in modern aspects of the topology of smooth manifolds, and discusses minimal surfaces and harmonic mappings, presenting a number of classic physical experiments that lie at the foundations of modern understanding of multidimensional variational calculus. This work should be of value to specialists and non-specialists alike.
"About this title" may belong to another edition of this title.
- PublisherCRC Press
- Publication date1990
- ISBN 10 2881247407
- ISBN 13 9782881247408
- BindingHardcover
- Edition number1
- Number of pages226
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