Variational Problems in Topology

The Geometry of Length, Area and Volume

A.T. Fomenko

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English

CRC Press
18 December 2020

Mathematics

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.

By: A.T. Fomenko
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 331g
ISBN: 9780367456030
ISBN 10: 0367456036
Pages: 226
Publication Date: 18 December 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface, Chapter I. PRELIMINARIES, Chapter II. FUNCTIONS ON MANIFOLDS, Chapter III. MANIFOLDS OF SMALL DIMENSIONS, Chapter IV. MINIMAL SURFACES, References, Index

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.

Reviews for Variational Problems in Topology: The Geometry of Length, Area and Volume

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