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Algebraic Inequalities / by Hayk Sedrakyan, Nairi Sedrakyan
(Problem Books in Mathematics. ISSN:21978506)
Edition | 1st ed. 2018. |
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Publisher | (Cham : Springer International Publishing : Imprint: Springer) |
Year | 2018 |
Size | XIII, 243 p : online resource |
Authors | *Sedrakyan, Hayk author Sedrakyan, Nairi author SpringerLink (Online service) |
Subjects | LCSH:Algebraic geometry LCSH:Number theory FREE:Algebraic Geometry FREE:Number Theory |
Notes | 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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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9783319778365 |
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電子リソース |
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EB00203192 |
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