| 释义 |
- Academic research
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{{Infobox scientist
| name = Joseph Arkin
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| birth_date = {{Birth date|1923|05|25}}
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| death_date = {{Death date and age|2002|08|05|1923|05|25}}
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| citizenship = United States
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| fields = Mathematics
| workplaces = United States Military Academy
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| known_for = Number theory
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}}Joseph Arkin ({{birth date|1923|5|25}} – {{Death date|2002|8|5}}) was a mathematician, lecturer and professor at the West Point military academy.[1][2]Originally from Brooklyn, New York, Professor Joseph "Joe" Arkin was married for 48 years to Judith Lobel Arkin. They had four daughters, Helen, Aviva, Jessica and Sarah. Professor Joseph Arkin worked at the Department of Mathematical Sciences at the United States Military Academy since 1986, until he retired from the faculty on September 23, 1994.[1] He also spent time as a visiting lecturer at Princeton and The New York Academy of Sciences. He was a member of the American Mathematical Society since 1964,[2] and member of the Fibonacci Association since 1965.[1] Most of his contributions and collaborative academic research was in the branch of number theory.[1][3] He authored and co-authored publications, in collaboration with notable mathematicians like Paul Erdős, Ronald Graham, E.G. Straus, Richard Pollack, Vern Hoggatt, Paul Smith, V.E. Smith, Gerald Bergum, and Stefan Burr, among others.[4][4][5][6] Many of his studies have appeared in publications such as the Mathematics Magazine, Fibonacci Quarterly, SIAM Review, Duke Mathematical Journal, Journal of Recreational Mathematics, and in Notices of the American Mathematical Society.[1] Arkin also published papers in the Canadian Journal of Mathematics, the Pacific Journal of Mathematics, and the Mathematics and Computer Education Journal.[1] Academic research- {{cite journal |journal=The Fibonacci Quarterly |last=Arkin |first=Joseph |last2= Hoggatt |first2=V. E. |last3=Straus |first3=E. G. |title=On Euler's Solution to a Problem of Diophantus |year=1979 |volume=17 |pages=333–339 |url=http://www.fq.math.ca/Scanned/18-2/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=A note on a theorem of Jacobi |last=Arkin |first=Joseph |volume=4 |pages=359–62 |year=1966 |url=http://www.fq.math.ca/Scanned/4-4/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Convergence of the Coefficients in a Recurring Power Series |last=Arkin |first=Joseph |volume=7 |year=1969 |pages=41–55 |url=http://www.fq.math.ca/Scanned/7-1/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Recurrence Formulas |last=Arkin |first=Joseph |last2=Pollack |first2=Richard |volume=8 |year=1970 |pages=4–5 |url=http://www.fq.math.ca/Scanned/8-1/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=An Extension of Fibonacci Numbers |last=Arkin |first=Joseph |volume=8 |year=1970 |pages=199–216 |url=http://www.fq.math.ca/Scanned/8-2/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=An extension of a theorem of Euler |last=Arkin |first=Joseph |volume=8 |year=1970 |pages=421–27 |url=http://www.fq.math.ca/Scanned/8-4/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Certain Arithmetical Properties of ) |last=Arkin |first=Joseph |volume=8 |issue=5 |year=1970 |pages=531–37 |url=http://www.fq.math.ca/Scanned/8-5/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Convergence of the Coefficients in the kth Power of a Power Series |last=Arkin |first=Joseph |volume=11 |issue=1 |year=1973 |pages=15–24 |url=http://www.fq.math.ca/Scanned/11-1/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=The First Solution of the Classical Eulerian Magic Cube Problem of Order Ten |last=Arkin |first=Joseph |volume=11 |issue=2 |year=1973 |pages=174–78 |url=http://www.fq.math.ca/Scanned/11-2/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=A solution to the classical problem of finding systems of three mutually orthogonal issues in a cube formed by three superimposed 10 x 10 x 10 cubes |last=Arkin |first=Joseph |volume=11 |issue=5 |year=1973 |pages=480–84 |url=http://www.fq.math.ca/Scanned/11-5/arkin-a.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=A solution of orthogonal triples in four superimposed 10 x 10 x 10 Latin cubes |last=Arkin |first=Joseph |volume=12 |issue=2 |year=1974 |pages=133–40 |url=http://www.fq.math.ca/Scanned/12-2/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Latin k-Cubes |last=Arkin |first=Joseph |last2=Strauss |first2=E. G.|volume=12 |issue=3 |year=1974 |pages=288–91 |url=http://www.fq.math.ca/Scanned/12-3/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=The Generalized Fibonacci Issue and Its Relation to Wilson's Theorem |last=Arkin |first=Joseph |last2=Hoggatt, Jr. |first2=V. E. |volume=13 |issue=2 |year=1975 |pages=107–09 |url=http://www.fq.math.ca/Scanned/13-2/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Trebly-magic systems in a Latin 3-cube of order eight |last=Arkin |first=Joseph |last2=Smith |first2=Paul |volume=14 |issue=2 |year=1976 |pages=167–70 |url=http://www.fq.math.ca/Scanned/14-2/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=A new type magic latin 3-cube of order ten |last=Arkin |first=Joseph |last2=Singh |first2=K. |volume=19 |issue=1 |year=1981 |pages=76–82 |url=http://www.fq.math.ca/Scanned/19-1/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Orthogonal Latin Systems |last=Arkin |first=Joseph |last2=Straus |first2=E. G. |volume=19 |issue=4 |year=1981 |pages=289–92 |url=http://www.fq.math.ca/Scanned/19-4/arkin.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Unique Fibonacci Formulas |last=Arkin |first=Joseph |last2=Arney |first2=D.C. |last3=Bergum |first3=G .E. |last4=Burr |first4=Stephan A. |last5=Porter |first5=B. J. |volume=27 |issue=4 |year=1989 |pages=296–302 |url=http://www.fq.math.ca/Scanned/27-4/arkin1.pdf }}
- {{cite journal |journal=Fibonacci Quarterly |title=Recurring-Sequence Tiling |last=Arkin |first=Joseph |last2=Arney |first2=D.C. |last3=Bergum |first3=G.E. |last4=Vurr |first4=S.A. |last5=Porter |first5=B. J |volume=27 |issue=4 |year=1989 |pages=323–332 |url=http://www.fq.math.ca/Scanned/27-4/arkin2.pdf }}
- {{cite journal |journal= Quarterly |title=Tiling the kth power of a power series |last=Arkin |first=Joseph |last2=Arney |first2=D.C. |last3=Bergum |first3=G .E. |last4=Burr |first4=Stephan A. |last5=Porter |first5=B. J. |volume=28 |issue=3 |year=1990 |pages=266–272 |url=http://www.fq.math.ca/Scanned/28-3/arkin.pdf }}
- {{cite journal |journal=American Mathematical Monthly |title=An Extension of the Fibonacci Numbers |last=Arkin |first=Joseph |volume=72 |issue=3 |year=1965 |pages=275–79 |url=http://www.math.utah.edu/pub/tex/bib/fibquart.html#Arkin:1965:EFN |doi=10.2307/2313696}}
- {{cite journal |journal=Fibonacci Quarterly |title=Ladder Network Analysis using Polynomials |last=Arkin |first=Joseph |volume=3 |issue=2 |year=1965 |pages=139–42 |url=http://www.fq.math.ca/Scanned/3-2/arkin.pdf }}
References1. ^1 2 3 4 5 {{cite web |url=http://www.dean.usma.edu/math/people/rickey/dms/Non-grads/Arkin-retire.htm |author=David C. Arney |title=Biography of Joseph Arkin An American Ramanujan |year=1994 |accessdate=October 2012 }}
2. ^1 {{cite journal |url=http://www.ams.org/notices/200210/inside.pdf |year=2002 |title=Inside the AMS |work=Notices of the American Mathematical Society |volume=49 |issue=10 |page=1276 }}
3. ^{{cite web |url=http://www.dean.usma.edu/math/people/rickey/dms/Non-grads/Arkin-pubs.htm |title=Publications of Joseph Arkin |publisher=U.S. Military Academy |year=2002 }}
4. ^1 {{cite journal |journal=Fibonacci Quarterly |title=Unique Fibonacci Formulas |last=Arkin |first=Joseph |last2=Arney |first2=D.C. |last3=Bergum |first3=G .E. |last4=Burr |first4=Stephan A. |last5=Porter |first5=B. J. |volume=27 |issue=4 |year=1989 |pages=296–302 |url=http://www.fq.math.ca/Scanned/27-4/arkin1.pdf }}
5. ^{{cite journal |journal=The Fibonacci Quarterly |last=Arkin |first=Joseph |last2= Hoggatt |first2=V. E. |last3=Straus |first3=E. G. |title=On Euler's Solution to a Problem of Diophantus |year=1979 |volume=17 |pages=333–339 |url=http://www.fq.math.ca/Scanned/18-2/arkin.pdf }}
6. ^{{cite journal |journal=Fibonacci Quarterly |title=Trebly-magic systems in a Latin 3-cube of order eight |last=Arkin |first=Joseph |last2=Smith |first2=Paul |volume=14 |issue=2 |year=1976 |pages=167–70 |url=http://www.fq.math.ca/Scanned/14-2/arkin.pdf }}
{{authority control}}{{DEFAULTSORT:Arkin, Joseph}} 3 : 20th-century American mathematicians|1923 births|2002 deaths |