03546nam a22004935i 4500 978-3-031-59742-8 DE-He213 20251030112655.0 cr nn 008mamaa 240728s2024 sz | s |||| 0|eng d 9783031597428 978-3-031-59742-8 10.1007/978-3-031-59742-8 doi QA241-247.5 PBH bicssc MAT022000 bisacsh PBH thema Mănescu-Avram, Corneliu. author. aut http://id.loc.gov/vocabulary/relators/aut 81438 Selection Tests in Number Theory for Mathematical Olympiads [electronic resource] / by Corneliu Mănescu-Avram. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIII, 292 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Problem Books in Mathematics, 2197-8506 - 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. This 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. Number theory. Number Theory. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031597411 Printed edition: 9783031597435 Printed edition: 9783031597442 Problem Books in Mathematics, 2197-8506 78925 https://doi.org/10.1007/978-3-031-59742-8 ZDB-2-SMA ZDB-2-SXMS 61991 61991