Ilhan Izmirli

Ilhan Izmirli grew up surrounded by books and a profound sense of deference for education, a practice, which, according to Oscar Wilde (1854 – 1900), “makes one rogue cleverer than another.” To Izmirli, the pursuit of knowledge is at once esoteric and abstract for the sole purpose of attaining intellectual maturity, cultural sensitivity, and social consciousness. As he continued academic study, he was equally attracted to literature, mathematics, music, and physics and was having a hard time deciding which one of these disciplines to study in college. Before graduating from high school, Izmirli was exposed to the vast universality of mathematics. The infiniteness that arose from relatively simple situations left him enthralled with serious computation.

Inspired by his first encounter with a tessellation of planar mathematics and its application in natural studies, Izmirli has devoted his research to mathematics and statistics education; philosophy of mathematics; philosophy of science; history of mathematics; relations between mathematics and other disciplines such as physics, philosophy, and music; and chaos theory. He has presented numerous papers on these and related topics at international conferences throughout the world.

Degrees

• PhD, History of Mathematics, American University
• PhD, Mathematics, University of South Carolina
• MS, Mathematics, University of Istanbul
• BS, Mathematics, Bosphorus University

Papers

1. Dodecaphony and Interval Vectors. Transactions on Engineering and Computing Sciences. Vol. 13, No. 2, March 2025.

2. Mathematics of Contour Classes. American Review of Mathematics and Statistics. Vol. 12, No. 1, June, 2024.

3. An Episode in Analytic Reasoning: Who Really Discovered the Mass-Energy Equivalence? Review of Education Studies. Vol. 4, No. 2, June 2024 here and here.

4. Power Series Matrices. Transactions on Engineering and Computing Sciences. Vol. 12, Issue 3, May 2024.

5. A Generalization of Bernoulli’s Inequality. International Journal of Innovative Research in Sciences and Engineering (IJIRES). Vol. 3, Issue 6, July 2023.

6. An Important Historical Milestone: The Classification of the Cubic Equations. Global Research in Higher Education. Vol. 6, No. 2, June 2023.

7. An Alternate Proof of Stirling’s Formula. 2022. In JSM Proceedings, Section on “Teaching Statistics and Data Ethics in the Health Sciences”. Alexandria, VA: American Statistical, pp. 1486-1492. December, 2022.

8. Photoconductivity under Pulsed Excitation. Advances in Pure Mathematics. Vol. 12, No. 6, June 2022.

Conference Presentations/Seminars

An Alternate Proof of Stirling’s Formula. Contributed paper presented in the “Teaching Statistics and Data Ethics in the Health Sciences” Session of the 2022 Joint Statistical Meeting held in Walter E. Washington Convention Center in Washington DC. August 9, 2022.

Book and Paper Reviews

1. A Review of the Book “Vector: A Surprising Story of Space, Time, and Mathematical Transformation” by Robyn Arianrhod. The review was for Mathematical Reviews/MathSciNet, March, 2025.

2. Review of the book Significant Statistics: An Introduction to Statistics. Virginia Tech Open Books (2024). Adapted by John Morgan Russell from Barbara Illowsky et al. May, 2024.

3. Review of the paper Turning the Volvelle: Exploring Jack Douthett’s Voice Leading Dynamics by Roger Asensi Arranz and Thomas Noll that appeared in the Journal of Mathematics and Music, 2022 Vol. 16, No. 3, 346–366. The review was for Mathematical Reviews/MathSciNet. December, 2023

4. Review of the paper “Euler’s “Tentamen”: Historical and Mathematical Aspects on the Consonance Theory” by Sonia Cannas and Maria Polo. The review was for Mathematical Reviews/MathSciNet. May, 2023

5. Review of the book Encounters with Euclid – how an Ancient Greek Geometry Text Shaped the World by Benjamin Wardhaugh (Princeton Univ. Press, Princeton, NJ, 2021, 403 pp). The review was for Mathematical Reviews/MathSciNet. January 2023.

6. Gaussian-Hybrid Numbers Obtained from Pell and Pell-Lucas Sequences. The review was for the Journal for Advances in Mathematics and Computer Science. November 2022.

7. Multiplication and Inverse Operation in Parametric Form of Triangular Fuzzy Numbers. The review was for Horizon Research and Publishing, USA. October 2022.