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:
    title: Chaos
    sub title: An Introduction for Applied Mathematicians
  name:
    name part: Fowler, Andrew.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: McGuinness, Mark.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 303 p. 133 illus., 55 illus. in color. online resource.
  abstract: This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist's pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.
  table of contents: 1 Introduction -- 2 One-Dimensional Maps -- 3 Hopf Bifurcations -- 4 Homoclinic Bifurcations -- 5 Hamiltonian Systems -- 6 Diverse Applications -- Appendix -- References.
  note: by Andrew Fowler, Mark McGuinness.
  subject:
    topic: Mathematical physics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Approximation theory
  subject:
    topic: Statistical physics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Statistical Physics and Dynamical Systems
  classification: QC19.2-20.85
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783030325381
  identifier: https://doi.org/10.1007/978-3-030-32538-1
  record info:
    record creation date: 200206
    record change date: 20200206044829.0
    record identifier: 978-3-030-32538-1