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Mohammad K. Azarian

From EverybodyWiki Bios & Wiki


Mohammad K. Azarian
BornJuly 7, 1950
🎓 Alma materSaint Louis University, Southern Illinois University, Tabriz University
💼 Occupation

Mohammad Khan Azarian (Persian: محمدخان آذریان; born July 7, 1950, Zabol, Iran) is an Iranian American mathematician and a professor of mathematics at the University of Evansville, Indiana, who specializes in infinite group theory. Azarian also works in other areas of mathematics including combinatorics, number theory, differential equations, and Jamshid al-Kashi [Kashani]'s mathematical treatises.

Early life and education[edit]

Azarian was born on July 7, 1950, in Zabol, Iran. When he was eight years old, his family moved to the Gonbad-e Kavus area and settled in Kalaleh. He went to elementary school in Zabol and Kalaleh. He attended 7th through 10th grade in Gonbad-e Kavus, and finished his last two years of high school in Mashhad. Azarian earned a B.Sc. in mathematics from Tabriz University, Iran, in 1973.

Azarian came to the US in 1976 to pursue his graduate education. He obtained his M.Sc. in mathematics (Thesis: A Study of the Mathematical Models of a Two Species Ecosystem) from Southern Illinois University, Edwardsville, 1979. Azarian completed his Ph.D. in mathematics (Dissertation: Near Frattini Subgroups of Amalgamated Free Products of Groups) from Saint Louis University, 1985.  

Career[edit]

After graduating from Tabriz University, Azarian fulfilled his military obligations, and then worked for two years as a consulting mathematician in Tehran, Iran. While he was pursuing his Ph.D., he was a teaching assistant at Saint Louis University and an adjunct faculty at Harris-Stowe State University in St. Louis. Since August 1985, he has been at the University of Evansville, where he is currently a professor of mathematics.

Personal life[edit]

Azarian was born to Zaman and Golbebe Azarian. In 1985, he married Helen (Dziadyk) Azarian, and they have a daughter, Sara Marjan, and a son, Camran Zaman.

Awards and honors[edit]

  • First Rank Educational Medal from the Iranian Ministry of Sciences, 1973.
  • Eleventh Annual J. Andrews Graduate Service Award, Pi Mu Epsilon, Saint Louis University, 1985.[1][2]
  • University of Evansville Global Scholar Award, 2007[3]
  • Discipline peer reviewer for the Fulbright Scholar Program, sponsored by the United States Department of State's Bureau of Educational and Cultural Affairs, 2015-2018[4]
  • Recipient of Mathematical Association of America-Indiana Distinguished Service Award, 2017[5][6]
  • University of Evansville Annual Berger Award for Scholarship, 2019[7]

Selected publications[edit]

Infinite group theory

  • "On the Lower Near Frattini Subgroups and Nearly Splitting Groups", Missouri Journal of Mathematical Sciences, Vol. 2, No. 1, Winter 1990, pp. 18–25. Zentralblatt MATH, Zbl 1097.20513.[8]
  • "On the Lower Near Frattini Subgroups of Amalgamated Free Products of Groups I", Missouri Journal of Mathematical Sciences, Vol. 2, No. 3, Fall 1990, pp. 105–114.  Zentralblatt MATH, Zbl 1097.20510[9]
  • "On the Near Frattini Subgroups of Amalgamated Free Products of Groups", Houston Journal of Mathematics, Vol. 16, No. 3, 1990, pp. 523–528. Mathematical Reviews, MR92d:20032 (20E06, 20E28), April 1992, p. 1878. Zentralblatt MATH, Zbl 742.20030.[10]
  • "On the Near Frattini Subgroup of the Amalgamated Free Product of Finitely Generated Abelian Groups", Houston Journal of Mathematics, Vol. 17, No. 3, 1991, pp. 425–427.  Mathematical Reviews, MR92j:20018b (20E06), Oct. 1992, p. 5436. Zentralblatt MATH, Zbl 743.20021.
  • "On the Lower Near Frattini Subgroups of Generalized Free Products with Cyclic Amalgamations", Houston Journal of Mathematics, Vol. 17, No. 3, 1991, pp. 419423.  Mathematical Reviews, MR92j:20018a (20E06), Oct. 1992, p. 5436. Zentralblatt MATH, Zbl 743.20020.[11]
  • "On the Near Frattini Subgroup", Group Theory (Proceedings of the Biennial Ohio State University Conference, May 1992), World Scientific, 1993, ISBN 981-02-1419-7, pp. 21–29. Mathematical Reviews, MR97c:20043 (20E06, 20E28, 20D25), March 1997, p. 1543. Zentralblatt MATH, Zbl 0824.20028.
  • "On the Near Frattini Subgroups of Certain Groups", Houston Journal of Mathematics, Vol. 20, No. 3, 1994, pp. 555–560. Mathematical Reviews, MR95d:20046 (20E06, 20E28, 57M25), April 1995, p. 2050. Zentralblatt MATH, Zbl 817.20028.[12]
  • "On the Lower Near Frattini Subgroups of Amalgamated Free Product of Groups", Houston Journal of Mathematics, Vol. 19, No. 4, 1993, pp. 499–504. Mathematical Reviews, MR94k:20046 (20E26, 20E28), Nov. 1994, p. 6289. Zentralblatt MATH, Zbl 799.20028.
  • "A Key Theorem on the Near Frattini Subgroups of Generalized Free Products of Groups", Houston Journal of Mathematics, Vol. 22, No. 1, 1996, pp. 1–10. Mathematical Reviews, MR98B:20035 (20E6, 20E28), February 1998, p. 810. Zentralblatt MATH, Zbl 855.20026.[13]
  • "On the Near Frattini Subgroups of Amalgamated Free Products with Residual Properties", Houston Journal of Mathematics, Vol. 23, No. 4, 1997, pp. 603–612. Mathematical Reviews, MR2000e:20052a (20E22, 20E10, 20E26, 20E28), May 2000, p. 3280. Zentralblatt MATH, Zbl 896.20020.
  • "On the Near Frattini Subgroup of the Generalized Free Product of Finitely Generated Nilpotent Groups", Houston Journal of Mathematics, Vol. 23, No. 4, 1997, pp. 613–615.  Mathematical Reviews, MR2000e:20052b (20E22, 20E10, 20E26, 20E28), May 2000, p. 3280. Zentralblatt MATH, Zbl 896.20019.[14]
  • "Recent Advances in the Near Frattini Subgroup", Proceedings of the 28th Annual Iranian Mathematics Conference, Publication #377 of Tabriz University, March 1997, pp. 55–68. Mathematical Reviews, MR99f:20040 (20E6, 20E28), May 1999, p. 3812.
  • "Near Frattini Subgroups of Residually Finite Generalized Free Products of Groups", International Journal of Mathematics and Mathematical Sciences, Vol. 26, No. 2, April 2001, pp. 117–121. Mathematical Reviews, MR2002b:20031 (20E6, 20E26), February 2002, p. 924. Zentralblatt MATH, Zbl 1053.20024.[15]
  • "Near Frattini Subgroups of Certain Generalized Free Products of Groups", International Journal of Pure and Applied Mathematics, Vol. 28, No. 3, 2006, pp. 377–385.  Mathematical Reviews, MR2230953 (2008b:20032), February 2008, p. 1056. Zentralblatt MATH, Zbl 1122.20011.
  • "Conjectures and Questions Regarding Near Frattini Subgroups of Generalized Free Products of Groups", International Journal of Algebra, Vol. 5, No. 1, 2011, pp. 1–15.  Mathematical Reviews, MR2780996 (2012d:20067). Zentralblatt MATH, Zbl 1242.20032.
  • "Some Examples and Remarks Concerning Groups", International Journal of Algebra, Vol. 7, 2013, no. 8, 363 - 368. Mathematical Reviews, MR 3056462. Zentralblatt MATH, Zbl 1287.20001.

Combinatorics and number theory

  • "The Generating Function for the Fibonacci Sequence", Missouri Journal of Mathematical Sciences, Vol. 2, No. 2, Spring 1990, pp. 78–79. Zentralblatt MATH, Zbl 1097.11516.  Reviewed in Media Highlights, College Mathematics Journal, Vol. 22, No. 4, September 1991, p. 354.
  • "A Generalization of the Climbing Stairs Problem", Mathematics and Computer Education, Vol. 31, No. 1, pp. 24–28, Winter 1997. MathEduc Database (Zentralblatt MATH, 1997c.01891).
  • "A Generalization of the Climbing Stairs Problem II", Missouri Journal of Mathematical Sciences, Vol. 16, No. 1, Winter 2004, pp. 12–17. Zentralblatt MATH, Zbl 1071.05501.
  • "On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials", International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251–257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.[16]
  • "Euler's Number Via Difference Equations", International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 22, 2012, pp. 1095–1102. Mathematical Reviews, MR2921250. Zentralblatt MATH, Zbl 1251.39011.[17]
  • "Fibonacci Identities as Binomial Sums", International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 38, 2012, pp. 1871–1876. Mathematical Reviews, MR2959001. Zentralblatt MATH, Zbl 1255.05003.[18]
  • "Fibonacci Identities as Binomial Sums II", International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 42, 2012, pp. 2053–2059. Mathematical Reviews, MR2980853. Zentralblatt MATH, Zbl 1255.05004.[19]
  • "Identities Involving Lucas or Fibonacci and Lucas Numbers as Binomial Sums", International Journal of Contemporary Mathematical Sciences, Vol. 7, No. 45, 2012, pp. 2221–2227. Mathematical Reviews, MR 2999343. Zentralblatt MATH, Zbl 1273.05004.

Differential equations

  • "A Family of Differential Equations with Multiple Properties", International Electronic Journal of Pure and Applied Mathematics, Vol. 3. No. 1, 2011, pp. 105–109. Reviewed in (Media Highlights) College Mathematics Journal, Vol. 43, No. 1, January 2012, p. 109.
  • "On Bernoulli’s Differential Equation", Applied Mathematical Sciences, Vol 6, No. 137, 2012, pp. 6799–6803. Mathematical Reviews, MR 2997596.[20]
  • "On Exact Differential Equations of First Order with Two Variables", Applied Mathematical Sciences, Vol 6, No. 137, 2012, pp. 6805–6807. Mathematical Reviews, MR 2997597.[21]

Ghiyath al-Din Jamshid Mas’ud al-Kashi [Kashani]'s mathematical treatises

  • "A Summary of Mathematical Works of Ghiyath ud-din Jamshid Kashani", Journal of Recreational Mathematics, Vol. 29, No. 1, 1998, pp. 32-41.  Math Edu, ME 1999a.00015.  Historia Mathematica, Vol. 31, No. 2, May 2004, p. 233.
  • "Meftah al-hesab:  A Summary", Missouri Journal of Mathematical Sciences, Vol. 12, No. 2, Spring 2000, pp. 75–95.  Mathematical Reviews, MR 1 764 526.  Zentralblatt MATH,  Zbl 1036.01002.  Historia Mathematica, Vol. 31, No. 2, May 2004, p. 233.
  • "Al-Kashi's Fundamental Theorem", International Journal of Pure and Applied Mathematics, Vol. 14, No. 4, 2004, pp. 499-509.  Mathematical Reviews, MR2072161 (2005b:01021), February 2005, p. 919.  Zentralblatt MATH,  Zbl 1059.01005.  Historia Mathematica, Vol. 32, No. 4, November 2005, p. 500.
  • "The Introduction of Al-Risala al-Muhitiyya:  An English Translation", International Journal of Pure and Applied Mathematics, Vol. 57, No. 6, 2009, pp. 903–914.  Mathematical Reviews, MR2676249 (2011e:01004).  Zentralblatt MATH,  Zbl 1198.01003.  Historia Mathematica, Vol. 38, Issue 2, May 2011, p. 312.
  • "Al-Risala al-Muhitiyya:  A Summary", Missouri Journal of Mathematical Sciences, Vol. 22, No. 2, 2010, pp. 64-85.  Mathematical Reviews, MR2675403 (2011e:01005).  Zentralblatt MATH,  Zbl 1204.01009.  Historia Mathematica, Vol. 38, Issue 3, August 2011, p. 435.
  • "A Study of Risala al-Watar wa'l Jaib ("The Treatise on the Chord and Sine")", Forum Geometricorum, Volume 15 (2015) 229-242.  Mathematical Reviews, MR 3418854 (Reviewed), Zentralblatt MATH, Zbl 1328.01015.
  • "A Study of Risala al-Watar wa'l Jaib ("The Treatise on the Chord and Sine"):  Revisited" , Forum Geometricorum, Volume 18 (2018), 219-222.  Mathematical Reviews, MR3819227 (Reviewed),  Zentralblatt MATH, Zbl 1395.51026.
  • "An Overview of Mathematical Contributions of Ghiyath al-Din Jamshid Al-Kashani [Kashani]", Mathematics Interdisciplinary Research, Volume 4 (2019), pp. 11–19.

Islamic law/Islamic courts and corrections

  • "Islamic Courts and Corrections", International Journal of Comparative and Applied Criminal Justice, Vol. 19, No. 1, Spring 1995, pp. 33–46. Co-authored with Dennis J. Wiechman and Jerry D. Kendall.[22]
  • "Islamic Law: Myths and Realities", CJ International, Vol. 12, No. 3, May–June 1996, pp. 13–19. Co-authored with Dennis J. Wiechman and Jerry D. Kendall.

References[edit]

  1. ↑ Erbacher, Megan. "UE math professor wins distinguished service award". Evansville Courier & Press. Retrieved 2020-10-13.
  2. ↑ "UE math professor wins distinguished service award". Evansville. Retrieved 2020-10-13.
  3. ↑ "Global Scholars 2007 - 2008 - Center for Innovation and Change Programs - University of Evansville". www.evansville.edu. Retrieved 2020-10-08.
  4. ↑ "AceNotes Today - Monday, August 24, 2015". acenotes.evansville.edu. Retrieved 2020-10-08.
  5. ↑ Erbacher, Megan. "UE math professor wins distinguished service award". Evansville Courier & Press. Retrieved 2020-10-08.
  6. ↑ "UE professor Mohammad Azarian receives Mathematical Association of America-Indiana Award". article.wn.com. Retrieved 2020-10-13.
  7. ↑ "AceNotes Today - Friday, August 16, 2019". acenotes.evansville.edu. Retrieved 2020-10-08.
  8. ↑ Azarian, Mohammad K. (February 1990). "On the Lower Near Frattini Subgroups and Nearly Splitting Groups". Missouri Journal of Mathematical Sciences. 2 (1): 18–25. doi:10.35834/1990/0201018. ISSN 0899-6180.
  9. ↑ Azarian, Mohammad K. (October 1990). "On the Lower Near Frattini Subgroups of Amalgamated Free Products of Groups I". Missouri Journal of Mathematical Sciences. 2 (3): 105–114. doi:10.35834/1990/0203105. ISSN 0899-6180.
  10. ↑ "ON THE NEAR FRATTINI SUBGROUPS OF AMALGAMATED FREE PRODUCTS OF GROUPS". HOUSTON JOURNAL OF MATHEMATICS, Volume 16, No. 4, 1990. CiteSeerX 10.1.1.434.1843.
  11. ↑ "ON THE LOWER NEAR FRATTINI SUBGROUPS OF GENERALIZED FREE PRODUCTS WITH CYCLIC AMALGAMATIONS, MOHAMMAD K. AZARIAN". HOUSTON JOURNAL OF MATHEMATICS Volume 17, No. 3, 1991. CiteSeerX 10.1.1.637.6963.
  12. ↑ "ON THE NEAR FRATTINI SUBGROUPS OF CERTAIN GROUPS". HOUSTON JOURNAL OF MATHEMATICS Volume 20, No. 3, 1994. CiteSeerX 10.1.1.433.8196.
  13. ↑ "HJM, Vol. 22, No. 1, 1996". www.math.uh.edu. Retrieved 2020-10-08.
  14. ↑ "Download Limit Exceeded". citeseerx.ist.psu.edu. Retrieved 2020-10-08.
  15. ↑ Azarian, Mohammad K. (2001). "Near Frattini subgroups of residually finite generalized free products of groups". International Journal of Mathematics and Mathematical Sciences. Retrieved 2020-10-08.
  16. ↑ "ON THE HYPERFACTORIAL FUNCTION, HYPERTRIANGULAR FUNCTION, AND THE DISCRIMINANTS OF CERTAIN POLYNOMIALS" (PDF). International Journal of Pure and Applied Mathematics Volume 36 No. 2 2007.
  17. ↑ "Euler's Number via Difference Equations. Mohammad K. Azarian" (PDF). Int. J. Contemp. Math. Sciences, Vol. 7, 2012, No. 22, 1095 - 1102.
  18. ↑ "Fibonacci Identities as Binomial Sums. Mohammad K. Azarian" (PDF). Int. J. Contemp. Math. Sciences, Vol. 7, 2012, No. 38, 1871 - 1876.
  19. ↑ "Fibonacci Identities as Binomial Sums II. Mohammad K. Azarian" (PDF). Int. J. Contemp. Math. Sciences, Vol. 7, 2012, No. 42, 2053 - 2059.
  20. ↑ "On Bernoulli's Differential Equation" (PDF). Applied Mathematical Sciences, Vol. 6, 2012.
  21. ↑ "On Exact Differential Equations of First Order with Two Variables" (PDF). Applied Mathematical Sciences, Vol. 6, 2012, No. 137, 6805.
  22. ↑ Wiechman, Dennis J.; Azarian, Mohammad K.; Kendall, Jerry D. (1995-03-01). "Islamic courts and corrections". International Journal of Comparative and Applied Criminal Justice. 19 (1): 33–46. doi:10.1080/01924036.1995.9678535. ISSN 0192-4036.

External links[edit]


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