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010   $a3-319-77836-6
024 7 $a10.1007/978-3-319-77836-5
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035   $a(DE-He213)978-3-319-77836-5
035   $a(MiAaPQ)EBC6312116
035   $z(PPN)258851287
035   $a(PPN)229501281
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100   $a20180705d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAlgebraic Inequalities /$fby Hayk Sedrakyan, Nairi Sedrakyan
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XIII, 243 p.) 
225 1 $aProblem Books in Mathematics,$x0941-3502
311   $a3-319-77835-8 
320   $aIncludes bibliographical references.
327   $aBasic 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.
330   $aThis unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities. .
410  0$aProblem Books in Mathematics,$x0941-3502
606   $aGeometry, Algebraic
606   $aNumber theory
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
615  0$aGeometry, Algebraic.
615  0$aNumber theory.
615 14$aAlgebraic Geometry.
615 24$aNumber Theory.
676   $a512.97
700   $aSedrakyan$b Hayk$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767404
702   $aSedrakyan$b Nairi$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300132603321
996   $aAlgebraic Inequalities$92124844
997   $aUNINA