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An Excursion through Elementary Mathematics, Volume I Real Numbers and Functions /

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Re...

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Main Author: Caminha Muniz Neto, Antonio. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Problem Books in Mathematics,
Subjects:
Functions of real variables.
Algebra.
Matrix theory.
Real Functions.
General Algebraic Systems.
Linear and Multilinear Algebras, Matrix Theory.
Online Access:https://doi.org/10.1007/978-3-319-53871-6
Table of Contents:
  • Chapter 1 The Set of Real Numbers
  • Chapter 2 Algebraic Identities, Equations and Systems
  • Chapter 3 Elementary Sequences
  • Chapter 4 Induction and the Binomial Formula
  • Chapter 5 Elementary Inequalities
  • Chapter 6 The Concept of Function
  • Chapter 7 More on Real Numbers
  • Chapter 8 Continuous Functions
  • Chapter 9 Limits and Derivatives
  • Chapter 10 Riemann’s Integral
  • Chapter 11 Series of Functions
  • Bibliography
  • Appendix A Glossary
  • Appendix B Hints and Solutions.

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