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: Lectures on Clifford (Geometric) Algebras and Applications
  name:
    name part: Abłamowicz, Rafał.
    role:
      role term: creator
  name:
    name part: Baylis, William E.
  name:
    name part: Branson, Thomas.
  name:
    name part: Lounesto, Pertti.
  name:
    name part: Porteous, Ian.
  name:
    name part: Ryan, John.
  name:
    name part: Selig, J. M.
  name:
    name part: Sobczyk, Garret.
  name:
    name part: Abłamowicz, Rafał.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 2004
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xvii, 221 pages 25 illustrations)
  abstract: The subject of Clifford (geometric) algebras offers a unified algebraic framework for the direct expression of the geometric concepts underlying the mathematical theories of linear and multilinear algebra, projective and affine geometries, and differential geometry. This bird's-eye view of Clifford (geometric) algebras and their applications is presented by six of the world's leading experts in the field. Key topics and features of this systematic exposition: * An Introductory chapter on Clifford Algebras by Pertti Lounesto * Ian Porteous (Chapter 2) reveals the mathematical structure of Clifford algebras in terms of the classical groups * John Ryan (Chapter 3) introduces the basic concepts of Clifford analysis, which extends the well-known complex analysis of the plane to three and higher dimensions * William Baylis (Chapter 4) investigates some of the extensive applications that have been made in mathematical physics, including the basic ideas of electromagnetism and special relativity * John Selig (Chapter 5) explores the successes that Clifford algebras, especially quaternions and bi-quaternions, have found in computer vision and robotics * Tom Branson (Chapter 6) discusses some of the deepest results that Clifford algebras have made possible in our understanding of differential geometry * Editors (Appendix) give an extensive review of various software packages for computations with Clifford algebras including standalone programs, on-line calculators, special purpose numeric software, and symbolic add-ons to computer algebra systems This text will serve beginning graduate students and researchers in diverse areas---mathematics, physics, computer science and engineering; it will be useful both for newcomers who have little prior knowledge of the subject and established professionals who wish to keep abreast of the latest applications.
  table of contents: Preface / Rafał Abłamowicz, Garret Sobczyk -- Lecture 1: Introduction to Clifford algebras / Pertti Lounesto -- Lecture 2: Mathematical structure of Clifford algebras / Ian Porteous -- Lecture 3: Clifford analysis / John Ryan -- Lecture 4: Applications of Clifford algebras in physics / William E. Baylis -- Lecture 5: Clifford algebras in engineering / J.M. Selig -- Lecture 6: Clifford bundles and Clifford algebras / Thomas Branson -- Appendix / Rafał Abłamowicz, Garret Sobczyk.
  note: by Rafal Ablamowicz, William E. Baylis, Thomas Branson, Pertti Lounesto, Ian Porteous, John Ryan, J.M. Selig, Garret Sobczyk ; edited by Rafal Abłamowicz, Garret Sobczyk.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references and index.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Global differential geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Clifford, Algèbres de
  subject:
    topic: Clifford-Algebra
    genre: Lehrbuch
  subject:
    topic: Algebra
  subject:
    topic: Global differential geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematics
  classification: QA641-670
  classification: 516.36
  classification: MAT 159f
  identifier: 9780817681906 (electronic bk.)
  identifier: 0817681906 (electronic bk.)
  identifier: 9780817632571
  identifier: 0817632573
  identifier: 3764332573 (alk. paper)
  identifier: 9783764332570 (alk. paper)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422175338.9
    record identifier: in00003560363
    language of cataloging:
      language term: eng