Geometric Inequalities

Methods of Proving
 
 
Springer (Verlag)
  • erschienen am 1. August 2018
 
  • Buch
  • |
  • Softcover
  • |
  • 464 Seiten
978-3-319-85561-5 (ISBN)
 

This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving geometric inequalities.

Paperback
Softcover reprint of the original 1st ed. 2017
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 5 farbige Abbildungen, 263 s/w Abbildungen
  • |
  • 5 Illustrations, color; 263 Illustrations, black and white; XII, 452 p. 268 illus., 5 illus. in color.
  • Höhe: 235 mm
  • |
  • Breite: 155 mm
  • |
  • Dicke: 24 mm
  • 698 gr
978-3-319-85561-5 (9783319855615)
10.1007/978-3-319-55080-0
weitere Ausgaben werden ermittelt

Hayk Sedrakyan is an IMO medal winner Professor of mathematics in Paris, France and a professional Math Olympiad Coach in Greater Boston area, Massachusetts, USA. He has defended his PhD thesis in mathematics in UPMC-Sorbonne University, Paris, France.

Nairi Sedrakyan is involved in national and international Olympiads of mathematics, having been the President of Armenian Mathematics Olympiads and IMO jury member. He is the author of one of the hardest problems ever proposed in the history of IMO.

Theorem on the Length of the Broken Line.- Application of Projection Method.- Areas.- Application of Trigonometric Inequalities.- Inequalities for Radiuses.- Miscellaneous Inequalities.- Some Applications of Geometric Inequalities.
"'The goal of the book is to teach the reader new and classical methods for proving geometric inequalities.' ... The book contains more than 1000 problems. ... intended for mathematics competitions and Olympiads. Every chapter contains problems for self-study and solutions." (Sandor Nagydobai Kiss, zbMATH 1375.51001, 2018)
This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving geometric inequalities.

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