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Selection tests in number theory for mathematical Olympiads

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Selection tests in number theory for mathematical Olympiads/ by Corneliu Mănescu-Avram.
作者:	Mănescu-Avram, Corneliu.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xiii, 292 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Number Theory. -
電子資源:	https://doi.org/10.1007/978-3-031-59742-8
ISBN:	9783031597428

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

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

672023
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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