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Selection tests in number theory for mathematical Olympiads

Record Type:	Electronic resources : Monograph/item
Title/Author:	Selection tests in number theory for mathematical Olympiadsby Corneliu Mănescu-Avram.
Author:	Mănescu-Avram, Corneliu.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xiii, 292 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Number theory
Online resource:	https://doi.org/10.1007/978-3-031-59742-8
ISBN:	9783031597428$q(electronic bk.)

Selection tests in number theory for mathematical Olympiads
Mănescu-Avram, Corneliu.

Selection tests in number theory for mathematical Olympiads[electronic resource] /by Corneliu Mănescu-Avram. - Cham :Springer Nature Switzerland :2024. - xiii, 292 p. :ill., digital ;24 cm. - Problem books in mathematics,2197-8506. - Problem books in mathematics..

- 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.

ISBN: 9783031597428$q(electronic bk.)

Standard No.: 10.1007/978-3-031-59742-8doiSubjects--Topical Terms:

254084
Number theory

LC Class. No.: QA241

Dewey Class. No.: 512.7

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505 0 $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.
520 $a 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.
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