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."
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Grundlehren der mathematischen Wissenschaften, 201 |
Release date: |
2012 |
First published: |
1974 |
Assisted by: |
J. Lewin
|
Authors: |
A. Beck
|
Assisted by: |
M. Lewin
|
Dimensions: |
229 x 152 x 24mm (L x W x T) |
Format: |
Paperback
|
Pages: |
464 |
Edition: |
Softcover reprint of the original 1st ed. 1974 |
ISBN-13: |
978-3-642-65550-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
Promotions
|
LSN: |
3-642-65550-5 |
Barcode: |
9783642655500 |
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