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V I Arnold

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  • Mathematical Methods of Classical Mechanics by V. I. Arnold
    Mathematical Methods of Classical Mechanics (Multiple languages, Hardback) V. I. Arnold, K. Vogtmann

    This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

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  • Mathematical Understanding of Nature by V. I. Arnold
    Mathematical Understanding of Nature (English, Paperback) V. I. Arnold

    This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book...

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  • Dynamics, Statistics and Projective Geometry of Galois Fields by V. I. Arnold
    Dynamics, Statistics and Projective Geometry of Galois Fields (English, Paperback) V. I. Arnold

    V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. This easy-to-read overview is accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.

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  • Experimental Mathematics by V. I. Arnold
    Experimental Mathematics (English, Paperback) V. I. Arnold

    Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.

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  • Ordinary Differential Equations by V. I. Arnold
    Ordinary Differential Equations (English, Paperback) V. I. Arnold

    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.

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