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: shaggy steed of physics
    sub title: mathematical beauty in the physical world
  name:
    name part: Oliver, David.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2004
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvii, 300 pages) : illustrations
  abstract: The Shaggy Steed is an unassuming figure from Irish folklore who reveals himself as an inspiring teacher of the forces hidden in the universe. This book celebrates an unassuming bit of physics that also turns out to be an inspiring teacher. The two-body problem-the motion of two bodies bound by the inverse-square force of gravity and electricity-is the Shaggy Steed of Physics, guiding the reader to an understanding of both the forces and the mathematical beauty hidden in the physical world. The book begins with an exposition of the action principle and its revelation of invariants created by the symmetries of nature. It then turns to the two-body problem and the grand unifying themes of symmetry and topology in physics, both classical and quantum. On the scale of the solar system this motion generates the Kepler ellipse-the fundamental orbit of celestial mechanics. On the microscopic scale of the quantum the same motion generates the hydrogen atom-the primal element. This remarkable unity of the heavens and the elements rests upon hidden symmetry-the symmetry of rotation in four dimensions and the three-sphere upon which they are topologically imaged. This richly endowed symmetry is a paradigm for the unitary symmetries of the elementary particles and pointed the way to them. This new edition preserves the spirit of the original while deepening key topics. The remarkable relations between the generators of symmetry (such as rotation generators) and the dynamical invariants of the symmetry (such as the hidden invariant of Kepler motion) are now elaborated. Readers are led through the states of the hydrogen atom by a master quantum number orchestrating the symmetries of the three-sphere. And KAM Theory-the greatest achievement in celestial mechanics of the twentieth century-is given its place in the story.
  table of contents: The shaggy steed of physics -- The heavens and the elements -- The law of motion -- Classical mechanics: the heavens -- Quantum mechanics: the elements -- The hidden unity of space and time -- The manifold universe.
  note: David Oliver.
  note: Includes index.
  note: Electronic resource.
  subject:
    topic: Physics
  subject:
    topic: SCIENCE
    topic: Physics
    topic: General
  subject:
    topic: SCIENCE
    topic: Mechanics
    topic: General
  subject:
    topic: SCIENCE
    topic: Energy
  subject:
    topic: Physics
  subject:
    topic: Physics
  subject:
    topic: Electronic books
  classification: QC21.2 .O45 2004eb
  classification: 530
  classification: O4
  related item:
    title info:
      title: Shaggy steed of physics
    name:
      name part: Oliver, David.
    origin info:
      publisher: New York : Springer, ©2004
      edition: 2nd ed.
    identifier: (DLC) 2003052882
    identifier: (OCoLC)52257912
  identifier: 0387218068 (electronic bk.)
  identifier: 9780387218069 (electronic bk.)
  identifier: 0387403078 (alk. paper)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 151117
    record change date: 20190408150950.0
    record identifier: in00003600654
    language of cataloging:
      language term: eng