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: Topics in Algebra and Analysis
    sub title: Preparing for the Mathematical Olympiad
  name:
    name part: Bulajich Manfrino, Radmila.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Gómez Ortega, José Antonio.
    role:
      role term: author.
  name:
    name part: Valdez Delgado, Rogelio.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 311 p. 40 illus., 1 illus. in color. online resource.
  abstract: The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
  table of contents: 1. Preliminaries -- 2 Progressions and finite sums -- 3 Induction principle -- 4 Quadratic and cubic polynomials -- 5 Complex numbers -- 6 Functions and functional equations -- 7 Sequences and series -- 8 Polynomials -- 9 Problems -- 10 Solutions of the exercises and problems -- Notation -- Bibliography -- Index.
  note: by Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado.
  subject:
    topic: Mathematics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Sequences (Mathematics)
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Number Theory
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Sequences, Series, Summability
  classification: QA241-247.5
  classification: 512.7
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319119465
  identifier: http://dx.doi.org/10.1007/978-3-319-11946-5
  record info:
    record creation date: 150209
    record change date: 20151123191612.0
    record identifier: 978-3-319-11946-5