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: Numerical Analysis
  name:
    name part: Gautschi, Walter.
    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: 2012
    edition: Second Edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVI, 588 p. 59 illus. online resource.
  abstract: The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all, the pace is always lively and brisk, the writing concise, and the author never lets the exposition bog down... [The book] successfully conveys the author's interest and experience in the subject to the reader. —SIAM Review (on the First Edition) Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis textbook explores computational methods for problems arising in areas such as classical analysis, approximation theory, nonlinear equations, and ordinary differential equations. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the author has carefully developed and polished a complete solutions manual for this edition, which is available through the publisher and will serve as an exceptionally valuable resource for instructors. The text is geared to a one- or two-semester graduate course in numerical analysis for students who have a good background in calculus and advanced calculus and some knowledge of linear algebra, complex analysis, and differential equations. Previous exposure to numerical methods in an undergradua…
  table of contents: Preface to the Second Edition -- Preface -- Prologue -- Chapter 1. Machine Arithmetic and Related Matters -- Chapter 2. Approximation and Interpolation -- Chapter 3. Numerical Differentiation and Integration -- Chapter 4. Nonlinear Equations -- Chapter 5. Initial Value Problems for ODEs --- One-Step Methods -- Chapter 6. Initial Value Problems for ODEs --- Multi-Step Methods -- Chapter 7. Two-Point Boundary Value Problems for ODEs -- References -- Subject Index.
  note: by Walter Gautschi.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Differential equations
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Numerical Analysis
  subject:
    topic: Analysis
  subject:
    topic: Applications of Mathematics
  classification: QA71-90
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817682590
  identifier: http://dx.doi.org/10.1007/978-0-8176-8259-0
  record info:
    record creation date: 111205
    record change date: 20151125232005.0
    record identifier: 978-0-8176-8259-0