Topics in Algebra and Analysis

Preparing for the Mathematical Olympiad

  • Radmila Bulajich Manfrino
  • José Antonio Gómez Ortega
  • Rogelio Valdez Delgado

Table of contents

  1. Front Matter
    Pages i-ix
  2. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 1-29
  3. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 31-42
  4. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 43-62
  5. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 63-74
  6. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 75-88
  7. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 89-114
  8. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 115-138
  9. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 139-164
  10. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 165-178
  11. Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
    Pages 179-303
  12. Back Matter
    Pages 305-311

About this book

Introduction

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.

Keywords

algebra complex numbers functional equations polynomials sequences

Authors and affiliations

  • Radmila Bulajich Manfrino
    • 1
  • José Antonio Gómez Ortega
    • 2
  • Rogelio Valdez Delgado
    • 3
  1. 1.Facultad de CienciasUniversidad Autónoma del Estado de MorelosCuernavacaMexico
  2. 2.Facultad de CienciasUniversidad Nacional Autónoma de MéxicoMéxicoMexico
  3. 3.Facultad de CienciasUniversidad Autónoma del Estado de MorelosCuernavacaMexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-11946-5
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-11945-8
  • Online ISBN 978-3-319-11946-5
  • About this book
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