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: Analysis and Algebra on Differentiable Manifolds
    sub title: A Workbook for Students and Teachers
  name:
    name part: Gadea, Pedro M.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Muñoz Masqué, Jaime.
    role:
      role term: author.
  name:
    name part: Mykytyuk, Ihor V.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2013
    edition: 2nd ed. 2013.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVI, 618 p. online resource.
  abstract: This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra.
  table of contents: Differentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Formulas and Tables.
  note: by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk.
  subject:
    topic: Mathematics
  subject:
    topic: Differential geometry
  subject:
    topic: Mathematics
  subject:
    topic: Differential Geometry
  classification: QA641-670
  classification: 516.36
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Problem Books in Mathematics
  identifier: 9789400759527
  identifier: http://dx.doi.org/10.1007/978-94-007-5952-7
  record info:
    record creation date: 121228
    record change date: 20151030081343.0
    record identifier: 978-94-007-5952-7