Publications and Presentations
Eisso J. Atzema

Department of Mathematics & Statistics
University of Maine Orono, Maine 04469-5752
Telephone: (207) 581-3928 (o) / (207) 866-3871 (h)
E-mail: atzema@math.umaine.edu

Journal Papers (Refereed)

• (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)." (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)

• "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 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 R² (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)

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, 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: January 26, 2009

Comments/Questions: atzema@math.umaine.edu