03333nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001600172072001600188072002300204072001500227100009500242245011900337250001800456264006900474300003500543336002600578337002600604338003600630347002400666490004500690505105200735520075001787650001902537650001902556710003402575773002602609776003602635776003602671776003602707830005202743856004602795912001402841912001502855999001702870978-3-031-59742-8DE-He21320251030112655.0cr nn 008mamaa240728s2024    sz |    s    |||| 0|eng d  a97830315974289978-3-031-59742-87 a10.1007/978-3-031-59742-82doi 4aQA241-247.5 7aPBH2bicssc 7aMAT0220002bisacsh 7aPBH2thema1 aMănescu-Avram, Corneliu.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98143810aSelection Tests in Number Theory for Mathematical Olympiadsh[electronic resource] /cby Corneliu Mănescu-Avram.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIII, 292 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProblem Books in Mathematics,x2197-85060 a- About the book -- List of notations -- About the author -- Part I: Problems -- 1968. - 1969. - 1970. - 1971. - 1972. - 1973. - 1974. - 1975. - 1976. - 1977. - 1978. - 1979. - 1980. - 1981. - 1982. - 1983. - 1984. - 1985. - 1986. - 1987. - 1988. - 1989. - 1990. - 1991. - 1992. - 1993. - 1994. - 1995. - 1996. - 1997. - 1998. - 1999. - 2000. - 2001. - 2002. - 2003. - 2004. - 2005. - 2006. - 2007. - 2008. - 2009. - 2010. - 2011. - 2012. - 2013. - 2014. - 2015. - 2016. - 2017. - 2018. - 2019. - 2020. - 2021. - 2022. - 2023. - 2024 -- Part II: Solutions -- 1968. - 1969. - 1970. - 1971. - 1972. - 1973. - 1974. - 1975. - 1976. - 1977. - 1978. - 1979. - 1980. - 1981. - 1982. - 1983. - 1984. - 1985. - 1986. - 1987. - 1988. - 1989. - 1990. - 1991. - 1992. - 1993. - 1994. - 1995. - 1996. - 1997. - 1998. - 1999. - 2000. - 2001. - 2002. - 2003. - 2004. - 2005. - 2006. - 2007. - 2008. - 2009. - 2010. - 2011. - 2012. - 2013. - 2014. - 2015. - 2016. - 2017. - 2018. - 2019. - 2020. - 2021. - 2022. - 2023. - 2024 -- References -- Appendix -- Index.  aThis book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the author, this work is chronologically organized and provides a unique insight into the evolution of this mathematical contest. The proposed problems touch on topics such as the Chinese remainder theorem, Diophantine equations, Fermat's theorem, Euler's theorem, perfect squares, sequences of integers, and Pythagorean triples, to name a few. A meticulously crafted index helps the reader navigate through the topics with ease. This book serves as an invaluable preparation tool for both aspiring students and those passionate about mathematics alike. 0aNumber theory.14aNumber Theory.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303159741108iPrinted edition:z978303159743508iPrinted edition:z9783031597442 0aProblem Books in Mathematics,x2197-850697892540uhttps://doi.org/10.1007/978-3-031-59742-8  aZDB-2-SMA  aZDB-2-SXMS  c61991d61991