University of Maine Orono, Maine 04469-5752

Telephone: (207) 581-3928 (o) / (207) 817-0388 (h)

E-mail: eisso.atzema@maine.edu

- "On a Flawed, 16th-Century Derivation of Brahmagupta's Formula for the
Area of a Cyclic Quadrilateral,"
*Forum Geometricorum*15 (2015), pp.165-172 - "From Brahmagupta to Euler: On the Formula for the Area of a Cyclic
Quadrilateral,"
*BSHM Bulletin. Journal of the British Society for History of Mathematics*30(2015), pp. 20-34 - (with Gerard Buskes) "Engel's Ingenious Models: On the Models of
the Fresnel Wave Surface at the University of Mississippi,"
*Rittenhouse - Journal of the American Scientific Instrument Enterprise*22:1 (2009) (special issue), pp. 90-112 - "On n-Sections and Reciprocal Quadrilaterals,"
*Forum Geometricorum*9 (2009), pp. 1-17 - "An Elementary Proof of a Theorem by Emelyanov,"
*Forum Geometricorum*8 (2008), pp. 201-204 - "Butterflies in Quadrilaterals: A Comment on a Note by Sidney Kung,"
*Mathematics Magazine*80:1 (Febr. 2007), pp. 70-72 - "A Theorem by Giusto Bellavitis on a Class of Quadrilaterals,"
*Forum Geometricorum*6 (2006), pp. 181-185 - "Into the Woods: Wiener in Maine,"
*The Mathematical Intelligencer*25:2 (Spring 2003), pp. 7-17. - "Beyond Monge's Theorem: A Generalization of the Pythagorean
Theorem,"
*Mathematics Magazine*73:4 (Oct. 2000), pp. 293-296. - (with R. H. Vermij) "
*Specilla Circularia*: an Unknown Work by Johannes Hudde,"*Studia Leibnitiana*XXVII/1 (1995), pp.104-121 - "Letters from Luigi Cremona to Julius Plücker (1867-1868
*), "*(in Italian)*La Corrispondenza di Luigi Cremona (1830-1903*), vol. II*(= Serie di Quaderni della Rivista di Storia della Scienza*, n.3 (1994)), pp. 73-77. - "All Phenomena of Optics that depend on Mathematics - A Sketch of
the Development of 19th Century Geometrical Optics,"
*Tractrix. Yearbook for the Dutch Society for the History of Science*, vol.5 (1993), pp. 45-80.

Book Chapters (Refereed)

- "Charles-François Sturm's Writings on Optics." In:
J.-C. Pont (e.a.) (Eds)
*Collected Works of Charles-François Sturm*(Basel: Birkhäuser, 2009), pp.49-68. - (with H. White) "Euler on Cevians." In: A. Shell-Gellasch
& R. Jardine (Eds)
*From Calculus to Computers. Using the Last 200 Years of Mathematics History in the Classroom*(= MAA Notes #68) (Washington: MAA, 2005), pp. 75-91. - (with G. Alberts & J.A. van Maanen) "Mathematics in the
Netherlands: A Brief Survey, with an Emphasis on the Relation to
Physics, 1560-1960." In: K. van Berkel (e.a.) (Eds)
*A History of Science in the Netherlands. Survey, Themes and Reference*(Leiden: Brill, 1999), pp. 367-399. - "A Theory of Caustics - The Contribution of Dupin, Quetelet, and
Gergonne to Geometrical Optics." In: A. von Gotstedter (Ed.),
*Ad Radices. IGN Jubiläumsband*(Steiner Verlag Stuttgart, 1995), pp. 331-354.

Reference Works Entries

- "Richard van Rees (1797-1875)." ; "Johan Frederik Hennert (1733-1813)."
(in Dutch) In:
*Biographisch Woordenboek van Nederlandse Wiskundigen (BWNW)*(an on-line dictionary of Dutch mathematicians) - "Table 1: Geometrical Optics in the 19th Century." (in
Italian) In: Sandro Petruccioli e.a. (eds.)
*Storia della Scienza*(Rome: Istituto della Enciclopedia Italiana, 2001-...). Vol. 7 (2002), p.345

Outreach & Proceedings (Marginally Refereed)

- "A Most Elegant Property: On the Early History of Lexell's Theorem"
In: Dirk Schlimm and Maria Zack (eds),
*Research in History and Philosophy of Mathematics. The CSHPM 2016 Annual Meeting in Calgary, Alberta*(Birkhauser, 2017), pp. 117-132 - "Mathematics Textbook Reform in the Progressive Era:
The Case of David Eugene Smith." In: Monique Lebrun e.a.
(eds),
*Le manuel scolaire, d'ici et d'ailleurs, d'hier à demain*(Montréal: PUQ, 2007) (file 10-04.pdf on accompanying CD-ROM; 15 pp.) - (with Geoff Lambert) "An Italian Lesson in Timetable Reading,"
*The Times. Journal of the Australian Association of Timetable Collectors*19:8(August 2002), pp. 11-15 - "Sonia Kovalevskaia," (in Dutch)
*Pythagoras*, 3 (1997/8), p.4 - "Christiaan Huygens and the 19th Century: the Road
to the Oeuvres Complètes," (in Dutch)
*De Prate-banck. Informatiebulletin van Vereniging Hofwijck*afl. 2.4 (1995), pp. 3-7 - "Dirk Struik - Centenarian!!," (in Dutch)
*Nieuwe Wiskrant. Tijdschrift voor Nederlands Wiskundeonderwijs*vol. 14.2 (1995), pp. 27-31 - "On Caustic Curves and their Determination," (in Dutch)
*Vakantiecursus 1994 Computer Algebra*(=*CWI Syllabus*36), pp.26-41.

Non-Refereed Proceedings

- "Conic Sections and Cabri Geometry: New Questions or
Old Hat?" In:
*Proceedings of the Eleventh Annual International Conference on Technology in Collegiate Mathematics*(Hyatt Regency, New Orleans (LA), November 19-22, 1998) (Addison Wesley Longman, 2000), pp. 16-20 - "Student and the Student t-Distribution: The TI-83 and Probability Theory." In: Proceedings of the Tenth Annual International Conference on Technology in Collegiate Mathematics (Hyatt Regency, Chicago (IL), November 7-8, 1997) (Addison Wesley Longman, 1999), pp. 21-25.
- "Solving Alhazen's Problem: Technology and History in the
Mathematics Classroom." In:
*Proceedings of the Ninth Annual International Conference on Technology in Collegiate Mathematics*(Reno Hilton, Reno (NV), November 7-10, 1996) (Addison Wesley Longman, 1998), pp.33-37. - "Maple V and Geometrical Optics:
Aberration Coefficients in Arbitrary Optical
Systems." In: R.J. Lopez (ed.),
*Maple V: Mathematics and its Applications. Proceedings of the Maple Summer Workshop and Symposium*(Rensselaer Polytechnic Institute, Troy (NY), August 9-13, 1994) (Birkhauser, 1994), pp.209-218.

Miscellaneous

- (with D. Baptista, L. Muszyński and D. J. Gardner) "An
Experimental Method for Three-Dimensional Dynamic Contact Angle Analysis,"
*Journal of Adhesion Science and Technology*26:18-19 (May 2012), pp. 2199-2215 - (with A. Khalil, J.L. Grant, L.B. Caddle, K.D.Mills and A. Arneodo)
"Chromosome territories have a highly non-spherical morphology and
non-random positioning,"
*Chromosome Research*15 (2007), pp.899-916 - (with G. Kroetsch & K.B. Wolf) "Canonical transformations to warped
surfaces: correction of aberrated optical images,"
*Journal of Physics A: Mathematical and General*30:16 (August 1997), pp. 5793-5803

Reports and Preprints

*From Gaspard Monge to Computer Graphics,*Forum für Informationstechnologie (1995; 55 p.)*An Elementary Approach to Curvature: Curves in R*^{2}(11 p.) = Appendix to: R. Geraets e.a. "Computation of Euclidean, Affine and Projective Curvature of Discrete Planar Curves Using Curve Evolution,"*Deliverable 1994 of Computer Vision Research Group, Utrecht for ESPRIT VIVA project, grant EC-BRA-6448*- (with J.A. Sanders) "The Transition
of Light through Several Media - A Lie Theoretical
Approach",
*RIACA Technical Report*, no. 8 (April 1995)(9 p.)

Reviews (1994-present)

- Review F.J. Dijksterhuis
*Christiaan Huygens and the Mathematical Science of Optics in the Seventeenth Century*(Kluwer Academic, 2004), In:*Historia Mathematica*33(2006), pp.367-369 - Review K.H. Parshall & A. Rice (eds)
*Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945*(AMS, 2002). In:*Isis*96:3 (September 2005), pp. 451-452 - Review B. Brenner & J. Lützen (eds.),
*Around Caspar Wessel and the Geometric Representation of Complex Numbers*(including a translation of Wessel's original paper of 1797) (Copenhagen, 1999-2001). In:*Historia Mathematica*31:1 (February 2004), pp. 116-119 - Review J.A. Stedall,
*A Discourse Concerning Algebra. English Algebra to 1685*(Oxford University Press, 2002). At: http://www.maa.org/reviews/discoursealgebra.html - Review K. Neal,
*From Discrete to Continuous. The Broadening of the Number Concept in Early Modern England*(Kluwer Academic Publishers, 2002). At: http://www.maa.org/reviews/discretecontinuous.html - Review J. Fauvel, R. Flood & R. Wilson,
*Oxford Figures*(Oxford University Press, 2000). At: http://www.maa.org/reviews/oxfigs.html - Review R. Callinger,
*A Contextual History of Mathematics to Euler*(Prentice-Hall, 1999). At: http://www.maa.org/reviews/contextual.html - ... and more (shorter) reviews in
*Mathematical Reviews*(2),*Newsletter BSHM*(1),*Centaurus*(1),*Nieuw Archief voor Wiskunde*(5),*GEWINA Tijdschrift*(4),*ITW Nieuws*(1)

Presentations (1994-present)

2013

- "The Reverend Thomas Hill (1818-1891): Educator, Administrator and Mathematician," Annual Joint AMS/MAA Meeting, January 9-12, San Diego Conference Center, San Diego, California (US) (invited)

2012

- "Lessons on Train Schedules: From String Charts to Teaching Tools," Pi Mu Epsilon Colloquium, April 5, Department of Mathematics, University of Maine, Orono, Maine

2011

- ---

2010

- "Beyond The Compass: On the
*Construction*of the Conic Sections", Séminaire d'Histoire des Mathématiques, May 25, Université Lille 1, Lille, France (invited) - "Beyond The Compass: On the
*Construction*of the Conic Sections", Philadelphia Area Seminar on the History of Mathematics (PASHoM), March 18, Villanova University, Philadelphia, Pennsylvania (invited)

2009

- ---

2008

- "On the (History of the) Use of Directed Angles and Their Extension to n-Sections" MAA Mathfest, July 31-August 3, Monona Center, Madison, Wisconsin, (US) (invited)
- "Beyond Trigonometry: On the Study of Quadrilaterals in the Early 17th Century Dutch Republic" Annual Joint AMS/MAA Meeting, January 6-9, San Diego Conference Center, San Diego, California (US) (invited)

2007

- "Between Mathematics and Physics: The Fresnel wave surface in the first two decades after Fresnel (1830-1850)" Faculty Colloquium, Department of Mathematics, University of Mississippi, October 4, Oxford (MS) (invited)
- "An Exceedingly Beautiful Theorem: Halley's 1706 edition of Apollonius'
*De Sectione Rationis,*" Faculty Colloquium, Department of Mathematics, University of Groningen, April 17, Groningen (NL) (invited) - "Lessons on Train Schedules: From String Charts to Teaching Tools," Colloque Mathématiques & Sciences, IUFM de Montpellier, March 29, Montpellier (FR) (invited)
- "An Exceedingly Beautiful Theorem: Halley's 1706 edition of Apollonius'
*De Sectione Rationis,*" Annual Joint AMS/MAA Meeting, January 5-8, New Orleans Sheraton & Marriott, Louisiana (US) (invited)

2006

- "Mathematics Textbook Reform in the Progressive Era: The Case of David Eugene Smith," Colloque international: Le Manuel Scolaire d'ici et d'ailleurs, d'hier et à demain, April 11-14, Bibliothèque Nationale du Québec, Montréal, PQ (CA)

2004

- "Codifying the Tradition: On Textbooks and Curricula," Sectional AMS Meeting, November 6-7, University of Pittsburgh, Pittsburgh, Pennsylvania (US)
- "On Astigmatism, Infinitely Thin Pencils and Cylindrical Lenses: From Airy to Optometry," Joint Meeting CSHPM/BSHM, July 9-11, Clare College, Cambridge (UK)
- "Lessons on Train Schedules: From String Charts to Teaching Tools," Annual Meeting CMS, June 13-14, Halifax, Nova Scotia (CA) (invited)

**2003**

- "Beyond the Infinitely Thin pencil," Charles François Sturm (1803-1855). Colloquium and Workshop on the Occasion of his 200th Anniversary, September 15-19, Université de Genève, Geneva (CH) (invited)

**2002**

- "Karpinski or a Bibliography of American Math Textbooks," Ninth Midwest History of Mathematics Conference, October 4-5, Miami University, Oxford, Ohio (US)
- "Euler on Quadrilaterals," Euler 2K + 2 Conference. Countdown to the Tercentenary, August 4-7, Linell Motel, Rumford, Maine (US)
- "Tradition and Innovation: The Rise and Fall of Sturm's Theorem in Elementary Algebra," 971st Annual Joint AMS/MAA Meeting, January 6-9, San Diego Convention Center, California (US) (invited)

**2001**

- "Irresistible to the Boys: The Introduction of a New Class of Graphical Problems in Elementary Math Textbooks," 971st AMS Meeting (Regional), October 13-14, Williams College, Williams Town, Massachusetts (US)
- "Into the Woods: Wiener in Maine," Conference on History of Undergraduate Mathematics in America, June 21-24, United States Military Academy, West Point, New York (US)

**2000**

- "Cabri and Regular Polygons: Trick or Treat?," 13th International Conference on Technology in Collegiate Mathematics, November 16-19, Hyatt Regency, Atlanta, Georgia (US)
- "From Monge to Computer Graphics: A Case of Applied History of Mathematics," Math Department Colloquium, March 13, Colby College, Waterville, Maine (US)

**1999**

- "Into the Woods: Wiener in Maine," 947th AMS Meeting (Regional), October 2-3, Providence College, Providence, Rhode Island (US)
- "The Introduction of the Various Manifestations of the Function Concept in American College Teaching, 1882-1920," Annual Joint AMS/MAA Meeting, January 13-16, Henry B. Gonzales Convention Center, San Antonio, Texas (US) (invited)

**1998**

- "Conic Sections and Cabri: New Questions or Old Hat?," 11th International Conference on Technology in Collegiate Mathematics, November 19-22, Hyatt Regency, New Orleans, Louisiana (US)
- "Solving Alhazen's Problem: History and Technology Hand in Hand," Math Colloquium, February 12, Department of Mathematics & Statistics, University of Maine, Orono, Maine (US)

**1997**

- "Student and the Student t-Distribution: The TI-83 and Probability Theory," 10th International Conference on Technology in Collegiate Mathematics, November 7-8, Chicago Hyatt, Chicago (US)
- "Solving Alhazen's Problem: History and Technology in the Classroom," 10th Anniversary Midwest Conference on the History of Mathematics, April 5, Akron, Ohio (US)
- "Introductory Statistics and the TI-83: Which Way to go?" Regional Meeting of the MAA Southeast Section, March 15, Georgia Institute of Technology, Atlanta, Georgia (US)

**1996**

- "Regression and Georgia State Patrol: Fitting curves on the TI-83," GSAMS Innovations in Undergraduate Teaching Session, November 21, Education Building, North Georgia College & State University, Dahlonega, Georgia (US)
- "Solving Alhazen’s Problem: Technology and History in the Classroom," 9th International Conference on Technology in Collegiate Mathematics, November 8-9, Reno Hilton, Reno, Nevada (US)
- "From Gaspard Monge to Computer Graphics: A Case of Applied History of Mathematics," History and Philosophy of Mathematics, April 25-26, IMFUFA, University of Roskilde (DK) (invited)

**1995**

- "Christiaan Huygens and the 19th Century: the Road to the Oeuvres Complètes," (in Dutch), Christiaan Huygens Lecture, November 30, Hofwijck Society (invited)
- "The Electronic Historian," European Honour Course in History of Mathematics, July 10-27, Center for Information and Media, Utrecht University, Utrecht (NL) (invited)
- "A Genius True to his Country: Nationalism and the Forging of Christiaan Huygens as a Scientific Hero," Christiaan Huygens Conference, July 7-8, Academy Building, Leiden University, Leiden (NL)
- "Different Views - The Optical Work of Johann and Jacob Bernoulli," 31st Annual Dutch Mathematical Conference, April 20-21, Zernike Hall, Groningen University, Groningen (NL) (invited)

**1994 (selection)**

- "Lie Optics and Computer Algebra: The RIACA Optics Project," NFWO-FNRS Contact Group Meeting, December 8, Institute for Pure Mathematics, Catholic University of Gandt, Gandt (BE) (invited)
- "Lie Optics and Computer Algebra," (in Dutch), Internal Seminar, October 11, Philips Research Laboratories, Eindhoven (NL) (invited)
- "Caustics and Their Computation," (in Dutch), Holiday Course for Mathematics Teachers, September 2-3, Technical University Eindhoven, Eindhoven (NL)
- "Maple V and Geometrical Optics - Aberration Coefficients in Arbitrary Optical Systems," Maple Summer Workshop, August 9-13, Rensselaer Polytechnic Institute, Troy (NY)
- "Computer Algebra and Geometrical Optics," (in Dutch), Annual Meeting Dutch Mathematical Society, April 7-8, State University Leiden (NL)
- "Dupin - Quetelet - Gergonne: The Formation of a Theory of Caustics (1820-1830)," Research In Progress Meeting British Society for the History of Mathematics, February 2, Department of Mathematics, Imperial College, London (UK) (invited)

- Last modified: July 18, 2017
- Comments/Questions: eisso.atzema@maine.edu