Bibliograph

An Excursion through Elementary Mathematics, Real Numbers and Functions, by Antonio Caminha Muniz Neto, Volume I

Type

Label

An Excursion through Elementary Mathematics, Real Numbers and Functions, by Antonio Caminha Muniz Neto, Volume I

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

An Excursion through Elementary Mathematics

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

982059126

Responsibility statement

by Antonio Caminha Muniz Neto

Series statement

Springer eBooksProblem Books in Mathematics,, 0941-3502

Sub title

Real Numbers and Functions

Summary

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 Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.--, Provided by publisher

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

Creator