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010   $a3-319-19887-4
024 7 $a10.1007/978-3-319-19887-3
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035   $a(DE-He213)978-3-319-19887-3
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100   $a20150916d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMethods of Solving Nonstandard Problems /$fby Ellina Grigorieva
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015.
215   $a1 online resource (XXI, 327 p. 11 illus., 2 illus. in color.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-19886-6 
320   $aIncludes bibliographical references and index.
327   $aSolving Problems Using Properties of Functions -- Polynomials -- Problems from Trigonometry.- Unusual and Nonstandard Problems -- References -- Index.
330   $aThis book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems ? those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas.   It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions.  The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem.  Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems.   Over 360 problems are included with hints, answers, and detailed solutions.  Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics.  Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.
606   $aAlgebra
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aGeometry
606   $aNumber theory
606   $aMathematics?Study and teaching 
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
606   $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000
615  0$aAlgebra.
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aGeometry.
615  0$aNumber theory.
615  0$aMathematics?Study and teaching .
615 14$aAlgebra.
615 24$aAnalysis.
615 24$aGeometry.
615 24$aNumber Theory.
615 24$aMathematics Education.
676   $a515
700   $aGrigorieva$b Ellina$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755612
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300256103321
996   $aMethods of solving nonstandard problems$91522696
997   $aUNINA