Geometric Inequalities

Methods of Proving

Hayk Sedrakyan, Nairi Sedrakyan (Autoren)

Buch | Softcover

XII, 452 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-85561-5 (ISBN)

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lt;p>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.

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." (Sándor Nagydobai Kiss, zbMATH 1375.51001, 2018)

Erscheinungsdatum	05.03.2022
Reihe/Serie	Problem Books in Mathematics
Zusatzinfo	XII, 452 p. 268 illus., 5 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	6964 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	geometric inequalities • Inequality Problems and Solutions • Inradius and Circumradius • Mathematical Competitions Textbook • mathematical olympiad problems • Method of Projections • Trigonometry • Vectors
ISBN-10	3-319-85561-1 / 3319855611
ISBN-13	978-3-319-85561-5 / 9783319855615
Zustand	Neuware