Problem-solving and selected topics in Euclidean geometry

in the spirit of the Mathematical Olympiads

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Problem-solving and selected topics in Euclid ...
Sotirios E. Louridas, Michael ...
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Last edited by MARC Bot
September 14, 2024 | History

Problem-solving and selected topics in Euclidean geometry

in the spirit of the Mathematical Olympiads

  • 1 Want to read

Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads contains theorems of particular value for the solution of Olympiad-caliber problems in Euclidean Geometry. Selected geometric problems, which have been given in International Mathematical Olympiads (IMO) or proposed in short lists in IMO, are discussed. Additionally, a number of new problems proposed by leading mathematicians in the subject with their step-by-step solutions are presented. The book teaches mathematical thinking through Geometry and provides inspiration for both students and teachers. From the Foreword: "...Young people need such texts, grounded in our shared intellectual history and challenging them to excel and create a continuity with the past. Geometry has seemed destined to give way in our modern computerized world to algebra.

As with Michael Th.Rassias' previous homonymous book on number theory, it is a pleasure to see the mental discipline of the ancient Greeks so well represented to a youthful audience." - Michael H. Freedman (Fields Medal in Mathematics, 1986) Sotirios E. Louridas has studied Mathematics at the University of Patras, Greece. He has been an active member of the Greek Mathematical Society for several years both as a problem poser and a coach of the Greek Mathematical Olympiad team. He has authored in Greek, a number of books in Mathematics. Michael Th. Rassias has received several awards in mathematical problem-solving competitions including two gold medals at the Pan-Hellenic Mathematical Olympiads of 2002 and 2003 (Athens, Greece), a silver medal at the Balkan Mathematical Olympiad of 2002 (Targu Mures, Romania) and a silver medal at the 44th International Mathematical Olympiad of 2003 (Tokyo, Japan).

He holds a Diploma from the School of Electrical and Computer Engineering of the National Technical University of Athens and a Master of Advanced Study in Mathematics from the University of Cambridge. He is currently a PhD student in Mathematics at ETH-Zürich. At the age of 22, he authored the book Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads - Foreword by Preda Mihăilescu (Springer, 2011), ISBN: 978-1-4419-0494-2.

Publish Date
Publisher
Springer
Language
English
Pages
235

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Book Details


Table of Contents

Introduction --
Preliminaries --
Fundamentals on Geometric Transformations --
Theorems --
Problems --
Solutions.

Edition Notes

Includes bibliographical references and indexes.

Published in
New York, NY

Classifications

Dewey Decimal Class
516.2
Library of Congress
QA455 .L68 2013, QA440-699

The Physical Object

Pagination
x, 235 p.
Number of pages
235

Edition Identifiers

Open Library
OL31012263M
ISBN 10
1461472725
ISBN 13
9781461472728, 9781461472735
LCCN
2013938266
OCLC/WorldCat
829754599, 842836688

Work Identifiers

Work ID
OL20802867W

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