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 Mathematics
  name:
    name part: Quarteroni, Alfio.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Sacco, Riccardo.
    role:
      role term: author.
  name:
    name part: Saleri, Fausto.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 657 p. 135 illus. online resource.
  abstract: Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performance on examples and counterexamples which outline their pros and cons. This is done using the MATLABTM software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLABTM computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in engineering, mathematics, physics and computer sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields. In this second edition, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have al…
  table of contents: Series Preface -- Preface -- I Getting Started -- 1. Foundations of Matrix Analysis -- 2 Principles of Numerical Mathematics -- II Numerical Linear Algebra -- 3 Direct Methods for the Solution of Linear Systems -- 4 Iterative Methods for Solving Linear Systems -- 5 Approximation of Eigenvalues and Eigenvectors -- III Around Functions and Functionals -- 6 Rootfinding for Nonlinear Equations -- 7 Nonlinear Systems and Numerical Optimization -- 8 Polynomial Interpolation -- 9 Numerical Integration -- IV Transforms, Differentiation and Problem Discretization -- 10 Orthogonal Polynomials in Approximation Theory -- 11 Numerical Solution of Ordinary Differential Equations -- 12 Two-Point Boundary Value Problems -- 13 Parabolic and Hyperbolic Initial Boundary Value Problems -- References -- Index of MATLAB Programs -- Index.
  note: by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri.
  subject:
    topic: Mathematics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Mathematics, general
  subject:
    topic: Numerical Analysis
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: T57-57.97
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Texts in Applied Mathematics, 37
  identifier: 9783540498094
  identifier: http://dx.doi.org/10.1007/b98885
  record info:
    record creation date: 100301
    record change date: 20160226093149.0
    record identifier: 978-3-540-49809-4