Algebraic inequalities

• 作者： Sedrakyan, Hayk, author.
• 其他作者：
  • Sedrakyan, Nairi, author.
  • SpringerLink (Online service)
• 其他題名：
  • Problem books in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Problem books in mathematics,
• 主題： Inequalities (Mathematics) , Mathematics. , Algebraic Geometry. , Number Theory.
• ISBN： 9783319778365 (electronic bk.) 、 9783319778358 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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