Bücher von Vladimir I. Arnold

History is not what we were wearing, It is how we had been utterly ruined. B.Pasternak.¿Spektorsky¿ In the spring of 1999 the police found me lying unconscious with a broken forehead next to my bike in the outskirts of Paris, and delivered me to a hospital. It took a few weeks for French doctors to bring me to consciousness. But I did not recognize my son and said about my wife: ¿this woman says that she is my wife¿. A doctor asked me how many years we had been married. I answered correctly, ¿twenty four¿, and the doctor wrote down: ¿arithmetical abilities are preserved¿. Later, French doctors told me that with such a trauma any Frenchman would succumb immediately. But then they added: ¿Russians are very tough so you should live several months more¿. In a Western textbook I had read regarding effects of poisons: ¿as for alcohol the lethal dose for Russians is several times higher¿. Perhaps the same applies to traumas.

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

The main theme emerging in Arnold's work of this period is the development ofsingularity theory of smooth functions and mappings.Thevolume also contains papers by V.I. Arnold's lectures on bifurcations of discretedynamical systems, as well as a review by V.I.

Here is the second volume of the collected works of one of the great mathematical scientists of our time, renowned both for the breadth and depth of his work. This publication focuses on his research in hydrodynamics, bifurcation theory and algebraic geometry.

This book addresses the relationship between algebraic formulas and geometric images. In spite of the simplicity and importance of this problem, it remains unsolved to this day although, as the book shows, many remarkable results have been discovered.

Vladimir Arnold is one of the greatest mathematical scientists of our time, as well as one of the finest, most prolific mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics and KAM theory.

The first to examine topological, group-theoretic and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified viewpoint, this book describes preliminary notions in hydrodynamics and pure mathematics with numerous examples and figures.

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms.

This is a charming collection of essays on life and science, by one of the leading mathematicians of our day. Vladimir Igorevich Arnold is renowned for his achievements in mathematics, and nearly as famous for his informal teaching style, and for the clarity and accessibility of his writing.

Dynamical Systems III

Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century.