Authors:
Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world
Offers a comprehensive course on problem-solving techniques
Presents a coherent development of mathematical ideas and methods behind problem solving
Brings several classical, relevant results of various fields in mathematics
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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Universidade Federal do Ceará, Fortaleza, Brazil
Antonio Caminha Muniz Neto
About the author
Bibliographic Information
Book Title: An Excursion through Elementary Mathematics, Volume II
Book Subtitle: Euclidean Geometry
Authors: Antonio Caminha Muniz Neto
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-77974-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-77973-7Published: 26 April 2018
Softcover ISBN: 978-3-030-08589-6Published: 14 December 2018
eBook ISBN: 978-3-319-77974-4Published: 16 April 2018
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: XI, 550
Number of Illustrations: 411 b/w illustrations
Topics: Convex and Discrete Geometry, Polytopes, Projective Geometry