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: Foundations of Mathematics and Physics One Century After Hilbert
    sub title: New Perspectives
  name:
    name part: Kouneiher, Joseph.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXI, 441 p. online resource.
  abstract: This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert's works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.
  table of contents: Preface : Where we stand today, Joseph Kouneiher -- Mie's Electromagnetic Theory of Matter and the Background to Hilbert's Unified Foundations of Physics, Leo Corry -- Hilbert and Einstein, Joseph Kouneiher, John Stachel -- Grothendieck on foundations for the rebirth of geometry, Colin MacLarty -- Understanding the 6-Dimensional Sphere, Michael Aityah -- A dozen problems, questions and conjectures about positive scalar curvature, Misha Gromov -- Geometry and the Quantum, Alain Connes -- What Every Physicist Should Know About String Theory, Edward Witten -- Quanta of Space-Time and Axiomatization of Physics, Ali Chamsddine -- Twistor Theory as an Approach to Fundamental Physics, Roger Penrose -- What are we missing in our search for quantum gravity?, Lee Smolin -- A schema for duality, illustrated by bosonization, Jeremy Butterfield and Sebastian de Haro -- The dressing field method of gauge symmetry reduction, a review with examples, Thierry Masson et al -- Syntactic Phylogenetic Trees, Matilde Marcolli.
  note: edited by Joseph Kouneiher.
  subject:
    topic: Mathematical physics
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: History
  subject:
    topic: Mathematical Physics
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: History and Philosophical Foundations of Physics
  subject:
    topic: History of Mathematical Sciences
  classification: QA401-425
  classification: QC19.2-20.85
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319648132
  identifier: https://doi.org/10.1007/978-3-319-64813-2
  record info:
    record creation date: 180526
    record change date: 20191026072513.0
    record identifier: 978-3-319-64813-2