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: Physical and Mathematical Foundations of the Theory of Relativity
    sub title: A Critical Analysis
  name:
    name part: Romano, Antonio.
    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: Mango Furnari, Mario.
    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: XVI, 496 p. 47 illus., 2 illus. in color. online resource.
  abstract: This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski's mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter - topics which are normally covered only very briefly in other treatments - in the next two chapters. The text then turns to a discussion of general relativity by means of the authors' unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
  table of contents: Preface -- Part I: Elements of Differential Geometry -- 1: Tensor Algebra -- 2: Introduction to Differentiable Manifolds -- 3: Transformation Groups, Exterior Differentiation and Integration -- 4: Absolute Differential Calculus -- Part II: Newtonian Dynamics, Gravitation, and Cosmology -- 5: Recalls of Classical Mechanics and Electrodynamics -- 6: Newtonian Gravitation -- Part III: Special Relativity -- 7: Physical Foundations of Special Relativity -- 8: Special Relativity in Minkowski's Space -- 9: Continuous Systems in Special Relativity -- 10: Electrodynamics in Moving Media -- Part IV: General Relativity and Cosmology -- 11: Introduction to General Relativity -- 12: Linearized Einstein's Equations -- 13: Cauchy's Problem for Einstein's Equations -- 14: Schwarzchild's Universe -- 15: Schwarzchild's Solution and Black-Holes -- 16: Elements of Cosmology -- 17: Relative Formulation of Physical Laws -- Bibliography.
  note: by Antonio Romano, Mario Mango Furnari.
  subject:
    topic: Mathematical physics
  subject:
    topic: Differential geometry
  subject:
    topic: Gravitation
  subject:
    topic: Physics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Differential Geometry
  subject:
    topic: Classical and Quantum Gravitation, Relativity Theory
  subject:
    topic: Mathematical Methods in Physics
  classification: QA401-425
  classification: QC19.2-20.85
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783030272371
  identifier: https://doi.org/10.1007/978-3-030-27237-1
  record info:
    record creation date: 190924
    record change date: 20191022054027.0
    record identifier: 978-3-030-27237-1