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portada continuous flows in the plane
Type
Physical Book
Author
Other
Publisher
Year
2012
Language
English
Pages
464
Format
Paperback
Dimensions
22.9x15.2x2.5 cm
Weight
0.64 kg.
ISBN
3642655505
ISBN13
9783642655500
Categories

continuous flows in the plane

A. Beck (Author) · J. Lewin (Other) · M. Lewin (Other) · Springer · Paperback

continuous flows in the plane - Lewin, J. ; Beck, A. ; Lewin, M.

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Synopsis "continuous flows in the plane"

Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now to a point where it is fully capable of standing on its own feet as a branch of Mathematics studied for its intrinsic interest and beauty, and since the publication of Topological Dynamics by Gottschalk and Hedlund, it has been the subject of widespread study in its own right, as well as for the light it sheds on differential equations. The Bibliography for Topological Dyna- mics by Gottschalk contains 1634 entries in the 1969 edition, and progress in the field since then has been even more prodigious. The study of dynamical systems is an idealization of the physical studies bearing such names as aerodynamics, hydrodynamics, electrodynamics, etc. We begin with some space (call it X) and we imagine in this space some sort of idealized particles which change position as time passes.

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