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Problem Books in Mathematics

Geometric Inequalities

Methods of Proving

Authors: Sedrakyan, Hayk, Sedrakyan, Nairi

  • 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

Buy this book

eBook 53,54 €
price for France (gross)
  • ISBN 978-3-319-55080-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 68,56 €
price for France (gross)
  • ISBN 978-3-319-55079-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 68,56 €
price for France (gross)
  • ISBN 978-3-319-85561-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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. 

About the authors

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.

Reviews

“‘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)


Video

Table of contents (8 chapters)

  • Theorem on the Length of the Broken Line

    Sedrakyan, Hayk (et al.)

    Pages 1-38

    Preview Buy Chapter 29,94 €
  • Application of Projection Method

    Sedrakyan, Hayk (et al.)

    Pages 39-91

    Preview Buy Chapter 29,94 €
  • Areas

    Sedrakyan, Hayk (et al.)

    Pages 93-138

    Preview Buy Chapter 29,94 €
  • Application of Vectors

    Sedrakyan, Hayk (et al.)

    Pages 139-165

    Preview Buy Chapter 29,94 €
  • Application of Trigonometric Inequalities

    Sedrakyan, Hayk (et al.)

    Pages 167-259

    Preview Buy Chapter 29,94 €

Buy this book

eBook 53,54 €
price for France (gross)
  • ISBN 978-3-319-55080-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 68,56 €
price for France (gross)
  • ISBN 978-3-319-55079-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 68,56 €
price for France (gross)
  • ISBN 978-3-319-85561-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Inequalities
Book Subtitle
Methods of Proving
Authors
Series Title
Problem Books in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-55080-0
DOI
10.1007/978-3-319-55080-0
Hardcover ISBN
978-3-319-55079-4
Softcover ISBN
978-3-319-85561-5
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XII, 452
Number of Illustrations
263 b/w illustrations, 5 illustrations in colour
Topics