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Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010
The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold
Cambridge ; New York : Cambridge University Press, c2011
book jacket
Location Call Number Status
 4th Floor  QA247.3 .A76 2011    AVAILABLE
Subject(s) Finite fields (Algebra)
Galois theory
Physical Description x, 80 p. : ill. ; 24 cm
Summary "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. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers"-- Provided by publisher
Note Includes bibliographical references and index
Machine generated contents note: Preface; 1. What is a Galois field?; 2. The organisation and tabulation of Galois fields; 3. Chaos and randomness in Galois field tables; 4. Equipartition of geometric progressions along a finite one-dimensional torus; 5. Adiabatic study of the distribution of geometric progressions of residues; 6. Projective structures generated by a Galois field; 7. Projective structures: example calculations; 8. Cubic field tables; Index

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