Sedrakyan, Hayk. Geometric Inequalities : Methods of Proving / [electronic resource] : / by Hayk Sedrakyan, Nairi Sedrakyan.. — 1st ed. 2017.. — XII, 452 p. 268 illus., 5 illus. in color. : online resource. — (Problem Books in Mathematics,) 0941-3502. - Problem Books in Mathematics, .
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.
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Анотація: 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. .