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: Calculus for Computer Graphics
  name:
    name part: Vince, John.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 227 p. 144 illus. online resource.
  abstract: Students studying computer animation and computer games have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces, and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred illustrations. Calculus for Computer Graphics complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer games and animation.
  table of contents: Preface -- Introduction -- Functions -- Limits and Derivatives -- Derivatives and Antiderivatives -- Higher Derivatives -- Partial Derivatives -- Integral Calculus -- Area Under a Graph -- Arc Length -- Surface Area -- Volume -- Vector-Valued Functions -- Conclusion -- Appendices -- Index.
  note: by John Vince.
  subject:
    topic: Computer science
  subject:
    topic: Computer graphics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Computer Science
  subject:
    topic: Computer Graphics
  subject:
    topic: Mathematical Applications in Computer Science
  classification: T385
  classification: 006.6
  related item:
    title info:
      title: Springer eBooks
  identifier: 9781447154662
  identifier: http://dx.doi.org/10.1007/978-1-4471-5466-2
  record info:
    record creation date: 130827
    record change date: 20151204145445.0
    record identifier: 978-1-4471-5466-2