Bøger af Vladimir I. Arnold

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

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.

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.

Dynamical Systems III

Volume IV of the Collected Works of V.I. Also during this period Arnold wrote eight papers related to magnetic dynamo problems, which were included in Volume II, mostly devoted to hydrodynamics.

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.

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.

(January 2006)This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end.

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.