Topics in algebra and analysis : preparing for the Mathematical Olympiad /

Topics in algebra and analysis : preparing for the Mathematical Olympiad /

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Bibliographic Details
Author / Creator:Bulajich Manfrino, Radmila, author.
Imprint:Cham : Birkhäuser, 2015.
Description:1 online resource (ix, 311 pages) : illustrations (some color)
Language:English
Subject:
Algebra.
Mathematical analysis.
Algebra.
Mathematical analysis.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11091941
Hidden Bibliographic Details
Other authors / contributors:Gómez Ortega, José Antonio, author.
Valdez Delgado, Rogelio, author.
ISBN:9783319119465
331911946X
3319119451
9783319119458
9783319119458
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed February 17, 2015).
Summary: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.
Other form:Printed edition: 9783319119458
Standard no.:10.1007/978-3-319-11946-5
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.

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