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: An
    title: Introduction to Tensors and Group Theory for Physicists
  name:
    name part: Jeevanjee, Nadir.
    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: 2011
    edition: 1.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 242 p. 12 illus. online resource.
  abstract: An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory. Part I of the text begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to classical and quantum physics through the use of tensor products. Part II introduces abstract groups along with matrix Lie groups and Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Exercises and examples are provided throughout for good practice in applying the presented definitions and techniques. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.
  table of contents: Part I Linear Algebra and Tensors -- A Quick Introduction to Tensors.- Vector Spaces -- Tensors -- Part II Group Theory -- Groups, Lie Groups, and Lie Algebras.- Basic Representation Theory -- The Winger-Echart Theorem and Other Applications -- Appendix Complexifications of Real Lie Algebras and the Tensor Product Decomposition of sl(2,C)R.- References -- Index.
  note: by Nadir Jeevanjee.
  subject:
    topic: Mathematics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Physics
  subject:
    topic: Quantum physics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Quantum Physics
  classification: QA401-425
  classification: QC19.2-20.85
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817647155
  identifier: http://dx.doi.org/10.1007/978-0-8176-4715-5
  record info:
    record creation date: 110823
    record change date: 20151204144559.0
    record identifier: 978-0-8176-4715-5