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Geometric Inequalities: Methods of Proving (Problem Books in Mathematics)

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Notă GoodReads:
en Limba Engleză Hardback – 30 Jun 2017

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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Specificații

ISBN-13: 9783319550794
ISBN-10: 3319550799
Pagini: 452
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.85 kg
Ediția: 1st ed. 2017
Editura: Springer
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării: Cham, Switzerland

Cuprins

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.


Recenzii

“‘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)

Notă biografică

Hayk Sedrakyan is an IMO medal winner Professor of mathematics and 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. 


Textul de pe ultima copertă

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. 


Caracteristici

Contains more than 1,000 problems
Provides an easy-to-understand approach to train for mathematic olympiads 
Promotes creativity for solving math problems while learning new approaches
Includes classical, well-known solutions combined with new problems