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An Excursion through Elementary Mathematics, Volume II

Euclidean Geometry

  • Antonio¬†Caminha Muniz Neto

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Antonio Caminha Muniz Neto
    Pages 1-17
  3. Antonio Caminha Muniz Neto
    Pages 19-59
  4. Antonio Caminha Muniz Neto
    Pages 61-99
  5. Antonio Caminha Muniz Neto
    Pages 101-150
  6. Antonio Caminha Muniz Neto
    Pages 151-180
  7. Antonio Caminha Muniz Neto
    Pages 181-225
  8. Antonio Caminha Muniz Neto
    Pages 227-268
  9. Antonio Caminha Muniz Neto
    Pages 269-287
  10. Antonio Caminha Muniz Neto
    Pages 289-329
  11. Antonio Caminha Muniz Neto
    Pages 331-375
  12. Antonio Caminha Muniz Neto
    Pages 377-402
  13. Antonio Caminha Muniz Neto
    Pages 403-426
  14. Antonio Caminha Muniz Neto
    Pages 427-447
  15. Antonio Caminha Muniz Neto
    Pages 449-534
  16. Back Matter
    Pages 535-550

About this book

Introduction

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 second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids 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.

Keywords

Euclidean geometry Geometry Solids Trigonometry Problem solving Mathematics Olympiad IMO

Authors and affiliations

  • Antonio¬†Caminha Muniz Neto
    • 1
  1. 1.Universidade Federal do Cear√°FortalezaBrazil

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-77974-4
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-77973-7
  • Online ISBN 978-3-319-77974-4
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site