rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: arithmetic of dynamical systems
  name:
    name part: Silverman, Joseph H.
    name part: 1955-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: Lehrbuch.
  origin info:
    place:
      place term: nyu
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: ix, 511 pages : illustrations ; 25 cm.
  abstract: This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. As is typical in any subject combining Diophantine problems and geometry, a fundamental goal is to describe arithmetic properties, at least qualitatively, in terms of underlying geometric structures.
  table of contents: An introduction to classical dynamics -- Dynamics over local fields : good reduction -- Dynamics over global fields -- Families of dynamical systems -- Dynamics over local fields : bad reduction -- Dynamics associated to algebraic groups -- Dynamics in dimension greater than one.
  note: Joseph H. Silverman.
  note: Electronic resource.
  note: Textbook for graduates.
  note: Electronic reproduction. New York : Springer, 2010. Mode of access: World Wide Web. System requirements: Web browser. Title from title screen (viewed on Aug. 9, 2010). Access may be restricted to users at subscribing institutions.
  note: Includes bibliographical references (pages 451-471) and index.
  subject:
    topic: Arithmetik
  subject:
    topic: Dynamisches System
  subject:
    topic: Dynamische systemen
  subject:
    topic: Getaltheorie
  subject:
    topic: Dynamics
  subject:
    topic: Number theory
  subject:
    topic: Dynamique
    genre: Manuels d'enseignement supérieur
  subject:
    topic: Théorie des nombres
    genre: Manuels d'enseignement supérieur
  classification: QA845 .S47 2007
  classification: 513/.39
  related item:
    identifier: (DLC) 2007923502
    identifier: (OCoLC)124038265
  related item:
    title info:
      title: Graduate texts in mathematics ; 241
  identifier: 038769904X
  identifier: 9780387699042
  identifier: 0387699031 (hd.bd.)
  identifier: 9780387699035 (hd.bd.)
  identifier: 11531050
  identifier: 978-0-387-69903-5 Springer
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 100813
    record change date: 20210727155221.0
    record identifier: in00002648173
    language of cataloging:
      language term: eng