Dynamics, statistics and projective geometry of Galois fields
Publié par : Cambridge University Press (Cambridge | New York) Détails physiques : x, 80 pages illustrations 24 cm. ISBN :9780521872003; 0521872006; 9780521692908 (pbk.); 0521692903 (pbk.). Année : 2011Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
---|---|---|---|---|---|---|
Livre | La bibliothèque des Sciences Exactes et Naturelles | 512.32 ARN (Parcourir l'étagère) | Disponible | 0000000021874 |
"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"--
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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