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＜電子ブック＞
Algebraic Inequalities / by Hayk Sedrakyan, Nairi Sedrakyan
(Problem Books in Mathematics. ISSN:21978506)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	XIII, 243 p : online resource
著者標目	*Sedrakyan, Hayk author Sedrakyan, Nairi author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Number theory FREE:Algebraic Geometry FREE:Number Theory
一般注記	Basic Inequalities and their Applications -- Strum's Method -- The HM-GM-AM-QM Inequalities -- Cauchy-Bunyakovsky-Schwarz Inequality -- Change of Variable(s) Method -- Symmetry and Homogeneity -- The Principle of Mathematical Introduction -- One Useful Inequality -- Using Derivatives and Integrals -- Using Functions -- Jensen's Inequality -- Inequalities of Sequences -- Algebraic Inequalities in Number Theory -- Miscellaneous Inequalities This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. 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 algebraic inequalities. HTTP:URL=https://doi.org/10.1007/978-3-319-77836-5

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