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010   $a3-319-11946-X
024 7 $a10.1007/978-3-319-11946-5
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035   $a(OCoLC)908090427
035   $a(Au-PeEL)EBL5595912
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035   $a(PPN)184493722
035   $a(EXLCZ)993710000000360269
100   $a20150209d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTopics in Algebra and Analysis $ePreparing for the Mathematical Olympiad /$fby Radmila Bulajich Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015.
215   $a1 online resource (319 p.)
300   $aDescription based upon print version of record.
311   $a3-319-11945-1 
320   $aIncludes bibliographical references (pages [307]-308) and index.
327   $a1. Preliminaries -- 2 Progressions and finite sums -- 3 Induction principle -- 4 Quadratic and cubic polynomials -- 5 Complex numbers -- 6 Functions and functional equations -- 7 Sequences and series -- 8 Polynomials -- 9 Problems -- 10 Solutions of the exercises and problems -- Notation -- Bibliography -- Index.
330   $aThe techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
606   $aNumber theory
606   $aDifference equations
606   $aFunctional equations
606   $aSequences (Mathematics)
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
606   $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031
606   $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
615  0$aNumber theory.
615  0$aDifference equations.
615  0$aFunctional equations.
615  0$aSequences (Mathematics).
615 14$aNumber Theory.
615 24$aDifference and Functional Equations.
615 24$aSequences, Series, Summability.
676   $a512
700   $aBulajich Manfrino$b Radmila$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755532
702   $aGómez Ortega$b José Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aValdez Delgado$b Rogelio$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299778403321
996   $aTopics in Algebra and Analysis$92536893
997   $aUNINA