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Ordinary Differential Equations
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Vladimir I Arnol'd
There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on theroutine presentation of algorithms for solving special classes of equations.Of course, the reader learns how to solve equations, ...
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Mathematical Methods of Classical Mechanics
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Vladimir I Arnol'd
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself ...
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Arnold's Problems
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Vladimir I Arnol'd (Editor)
Arnold's Problems contains mathematical problems which have been brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books. The invariable peculiarity of these problems was that mathematics was considered not as a game with ...
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Geometrical Methods in the Theory of Ordinary Differential Equations
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Vladimir I Arnol'd
Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the ...
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Singularities of Differentiable Maps: Vol. 2: Monodromy and Asymptotic Integrals
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Vladimir I Arnol'd, S Gusein-Zade, A Varchenko
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Mathematical Aspects of Classical and Celestial Mechanics
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Vladimir I Arnol'd, A I Neishtadt
This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The ...
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Meow!
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Vladimir Grigorievich Suteev, Katya Arnold (Illustrator)
A puppy is awakened from his nap when he hears someone saying "Meow!" But when he looks around, no one is there. Curious, the the puppy asks the rooster if he said "Meow!" and the rooster replies "Cock-a-doodle-doo!" He asks a bee, but the bee says "buzz," and so on. This introduction to animal sounds is illustrated with color paintings.
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Yesterday and Long Ago
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Vladimir I Arnol'd, Leonora P Kotova (Translator), Owen L Delange (Translator)
This charming book by one of the leading mathematicians of our day, Vladimir Igorevich Arnold, is a rambling collection of his memories from early childhood up to recent days. Some marvellous historical and geographical stories occupy a large part of the book. Their characteristic lively style draws the reader into the past as though it were ...
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Dynamical Systems V
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Vladimir I Arnol'd (Editor), R V Gamkrelidze (Editor), V S Aframojvich (Designer)
Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such ...
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Lectures on Partial Differential Equations
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Vladimir I Arnol'd, R Cooke (Translator)
This work was described by "Choice" as an Outstanding Title! (January 2006) Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical ...
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Singularities of Caustics and Wave Fronts
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Vladimir I Arnol'd
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Ordinary Differential Equations and Smooth Dynamical Systems
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D V Anosov (Editor), Vladimir I Arnol'd, Yu S Ilyashenko
From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ...indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced...What is particularly pleasant is the fact ...
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Topological Methods in Hydrodynamics
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Vladimir I Arnol'd, Boris Khesin
Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot ...
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Singularities of Differntiable Maps Volume 1: The Classification of Critical Points Caustics, Wave Fronts
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Chef Arnold, Vladimir I Arnol'd, A N Varchenko
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Quantum-Statistical Models of Hot Dense Matter: Methods for Computation Opacity and Equation of State
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Arnold F Nikiforov, Vladimir G Novikov, Vasili B Uvarov
The widely used theoretical models for calculating properties of hot dense matter are studied in this book. Calculations using the presented formulas and algorithms are illustrated by plots, tables, and also are compared with experimental results. The purpose is to help understanding atomic physics in hot plasma and in developing efficient and ...
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Singularity Theory
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Vladimir I Arnol'd, N J Hitchin (Editor)
Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own ...
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Dynamical Systems
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Vladimir I Arnol'd, V V Goryunov, A Iacob (Translator)
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Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory
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Vladimir I Arnol'd (Editor), I M Gelfand (Editor), Mikhail Smirnov (Editor)
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Dynamical Systems VII
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Vladimir I Arnol'd
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment of the geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used throughout the survey allows for a clear and unified ...
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Huygens & Barrow, Newton & Hooke
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Vladimir I Arnol'd
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Developments in Mathematics
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M Monastyrsky, Vladimir I Arnol'd
A collection of seven survey articles especially commissioned by Professors Arnold and Monastyrsky highlighting areas where the Moscow scholl has amde significant recent contributions to theoretical mathematics. Contributions include papers on Knot theory, supersurfaces and dynamical systems. This book contains articles on aspects of mathematics ...
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Multiresolution Methods in Scattered Data Modelling
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Armin Iske, Vladimir I Arnol'd
This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functions, are combined with customized adaptive strategies. The resulting ...
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C.G.A. Oldendorp's History of the Mission of the Evangelical Brethren on the Caribbean Islands of St
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Arnold R. Highfield (Translator), C. G. Oldendorp, Vladimir Barac
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Ergodic Problems of Classical Mechanics
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Vladimir I Arnol'd, Andre Avez
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Symplectic Geometry and Its Applications
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Vladimir I Arnol'd (Editor), S P Novikov (Editor)
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