Variational Problems in Topology

... by six elements a1. ,a2,...,a6 A group of orientation-preserving homeotopy of a solid pretzel is generated by the five elements a1, a2,...,a5. 2. ... Fix on a two-dimensional pretzel the set of standard meridians a1,...,ag (Fig. 6).

Variational Problems in Topology

Variational Problems in Topology

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.

More Books:

Variational Problems in Topology
Language: en
Pages: 226
Authors: A.T. Fomenko
Categories: Mathematics
Type: BOOK - Published: 2019-06-21 - Publisher: Routledge

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
Annual Report of the Dept. of Meridian Astrometry
Language: en
Pages:
Authors: Carnegie Institution of Washington. Dept. of Meridian Astrometry
Categories: Mathematics
Type: BOOK - Published: 1924 - Publisher:

Books about Annual Report of the Dept. of Meridian Astrometry
Latitude and Magnetic Elements at the University of Mississippi
Language: en
Pages: 42
Authors: Paul Hill Saunders
Categories: Mathematics
Type: BOOK - Published: 1895 - Publisher:

Books about Latitude and Magnetic Elements at the University of Mississippi
Finite Element Idealization for Linear Elastic, Static, and Dynamic Analysis of Structures in Engineering Practice
Language: en
Pages: 442
Authors: Christian Meyer
Categories: Technology & Engineering
Type: BOOK - Published: 1987 - Publisher: Amer Society of Civil Engineers

Books about Finite Element Idealization for Linear Elastic, Static, and Dynamic Analysis of Structures in Engineering Practice
Popular Astronomy
Language: en
Pages:
Authors: Christian Meyer
Categories: Astronomy
Type: BOOK - Published: 1926 - Publisher:

Books about Popular Astronomy