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: Explorations in Mathematical Physics
    sub title: The Concepts Behind an Elegant Language
  name:
    name part: Koks, Don.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 544 p. 118 illus. online resource.
  abstract: Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You'll see how the accelerated frames of special relativity tell us about gravity. On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
  table of contents: The Language of Physics -- A Trip Down Linear Lane -- The Natural Language of Random Processes -- A Roundabout Route to Geometric Algebra -- Special Relativity and the Lorentz Transform -- Four-Vectors and the Road to Tensors -- Accelerated Frames: Onward to the Principle of Covariance -- The Elegance and Power of Tensor Notation -- Curvature and Differential Geometry -- Variational Calculus and Field Theory -- The Green Function Approach to Solving Field Equations -- Airliners, Black Holes, and Cosmology: The ABC of General Relativity.
  note: by Don Koks.
  subject:
    topic: Physics
  subject:
    topic: Quantum physics
  subject:
    topic: Physics
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Physics, general
  subject:
    topic: Quantum Physics
  classification: QC19.2-20.85
  classification: 530.1
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780387327938
  identifier: http://dx.doi.org/10.1007/978-0-387-32793-8
  record info:
    record creation date: 100301
    record change date: 20151204142009.0
    record identifier: 978-0-387-32793-8