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Topological Methods in Hydrodynamics
Topological Methods in Hydrodynamics
The focus of this book is the differential geometrical and topological points of view in hydrodynamics. It discusses interaction of hydrodynamics with a vari... »
 
 
 
 
 

Catastrophe Theory
Catastrophe Theory
An informal survey of the applications of singularity theory, which has been revised and updated in order to cover such topics as shock waves, implicit diffe... »
 
 
 
 
 

Singularities Of Caustics And Wave Fronts
Singularities Of Caustics And Wave Fronts
Singularities of Caustics and Wave Fronts »
 
 
 
 
 

Ordinary Differential Equations
Ordinary Differential Equations
There are dozens of books on ODEs, but none with the elegant geometric insight of Arnold's book. Arnold puts a clear emphasis on the qualitative and geometri... »
 
 
 
 
 

Dynamical Systems
Dynamical Systems
Differential Equations, Maps And Chaotic Behaviour »
 
 
 
 
 

Yesterday and Long Ago
Yesterday and Long Ago
This charming book by one of the leading mathematicians of our day, V.I.Arnold, is a rambling collection of his memories from early childhood up to recent da... »
 
 
 
 
 

Singularity Theory
Singularity Theory
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Mathematical Aspects of Classical and Celestial Mechanics
Mathematical Aspects of Classical and Celestial Mechanics
The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its con... »