V.I. Arnold

Mathematical Methods of Classical Mechanics

Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifold...

Dynamics, Statistics and Projective Geometry of Galois Fields

V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, stati...

Mathematical Aspects of Classical and Celestial Mechanics

From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results...

Singularities of Differentiable Maps

Volume I: The Classification of Critical Points Caustics and Wave Fronts

... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After...

Dynamical Systems I

Ordinary Differential Equations and Smooth Dynamical Systems

From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic p...

Singularities of Differentiable Maps

Volume II Monodromy and Asymptotic Integrals

The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The...

Catastrophe Theory

Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the...

Singularities of Differentiable Maps

Monodromy and asymptotics of integrals / under the editorship of V.I. Arnold. 2

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Singularities of Differentiable Maps, Volume 1

Classification of Critical Points, Caustics and Wave Fronts

​Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many differen...

Singularity Theory

Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. I...

Singularity Theory I

This is a compact guide to the principles and main applications of Singularity Theory by one of the world’s top research groups. It includes a numbe...

Ergodic Problems of Classical Mechanics

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Singularities of Differentiable Maps

Volume I: The Classification of Critical Points Caustics and Wave Fronts

... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After...

Singularities of Differentiable Maps, Volume 2

Monodromy and Asymptotics of Integrals

​​​The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classif...

Dynamical Systems V

Bifurcation Theory and Catastrophe Theory

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing...

Bifurcation Theory and Catastrophe Theory

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Dynamical Systems V

Bifurcation Theory and Catastrophe Theory

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Dynamical Systems I

Ordinary Differential Equations and Smooth Dynamical Systems

From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic p...

Topological Invariants of Plane Curves and Caustics

This text is the first exposition of a new theory which unifies the theories of knots, plane curves, caustics, and wavefronts in differential, symplec...