Department of Mathematics
Elena Anne Marchisotto
Emerita Professor of Mathematics
My research interests are geometry, foundations of mathematics, history of mathematics, and mathematics education. I have been studying the works of Mario Pieri (1860-1913), an algebraic geometer who also made significant contributions to foundations of mathematics.
Books - Journal Articles - Chapters in Books - Book Reviews
Books - Journal Articles - Chapters in Books - Book Reviews
Books
- 2021 The Legacy of Mario Pieri on the Foundations and Philosophy of Mathematics. Foreword by David E. Rowe. With F. Rodriguez-Consuegra and J. T. Smith. Birkhäuser, Boston, MA.
- 2012 The Mathematical Experience, Study Edition , updated second edition, With Philip J. Davis and Reuben Hersh Modern Birkhäuser Classics. Birkhäuser/Springer, New York, xxvi+500 pp. ISBN: 978-0-8176-8294-1. MR2893927 (2012j:00002
- 2007 The Legacy of Mario Pieri in Geometry and Arithmetic . With J. T. Smith. Foreword by Ivor Grattan-Guinness. Birkhäuser Boston, Inc., Boston, MA. xx+494 pp. ISBN: 978-0-8176-3210-606. MR2310967 (2008b:01008). Reviewed by P. N. Ruane at MAA on-line
- 2003 Mathematics for High School Teachers, an Advanced Perspective . With Z. Usiskin, A. Peressini, and D. Stanley. Upper Saddle River: Prentice Hall. ISBN 0130449415.
- 1995 The Mathematical Experience Study Edition . With P. Davis and R. Hersh. Introduction by Gian-Carlo Rota. New York: Birkhäuser. Reviewed by Kenneth C. Millett in the Notices of the American Mathematical Society 44, no. 10, 1997 1361-1318; by A. M. Coyne in Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts, 1996, 837-41; MR1347448 (96f:00008a) and MR1355999 (96f:00008b).
- 1995 The Companion Guide to the Mathematical Experience . With P. Davis and R. Hersh. New York: Birkhäuser. <1991> Measurement Geometry. With Karen Sue Cain. University of Kentucky. <1986> Algebra. New York: John Wiley & Sons.
- 2023 Anneli Lax: They Think, Therefore We Are. Journal of Humanistic Mathematics , Volume 13 Issue 1 (January 2023), 252-285. . Available at: https://scholarship.claremont.edu/jhm/vol13/iss1/21
- 2022 H.S.M. Coxeter’s Theory of Accessibility: From Mario Pieri to Marvin Greenberg. Results in Mathematics. Special issue in memory of Heinrich Wefelscheid. volume 77, Article number: 187 (July 2022), ISSN: 1422-6383 (Print) 1420-9012 (Online). . https://doi.org/10.1007/s00025-022-01690-9
- 2021 Mario Pieri’s View of the Symbiotic Relationship between the Foundations and the Teaching of Elementary Geometry in the Context of the Early Twentieth Century Proposals for Pedagogical Reform. With A Millán Gascia.Philosophia Scientiae 25 , no. 1, 157–183.
- 2020 The Human Face of Mathematics: Reuben Hersh (1927-2020) In Memoriam. Journal of Humanistic Mathematics 10, Issue 2 (July 2020), 539-552. . Available at: https://scholarship.claremont.edu/jhm/vol10/iss2/25
- 2012 The legacy of Mario Pieri – the man, the scholar, the teacher. Quaderni di Storia dell'Universita' di Torino 10 , no. 5, 3-18.
- 2010 Mario Pieri: the man, the mathematician, the teacher. La Matematica nella Società e nella Cultura Rivista dell'Unione Matematica Italiana I (3), no. 3, (2010), 321-364, 465 (ISSN 1972-7356).
- 2006 The projective geometry of Mario Pieri: a legacy of Georg Karl Christian von Staudt. Historia Mathematica 33 , no. 3, 277-314. On-line version published October 2005: Science Direct (www.sciencedirect.com). MR2233594 (2007b:01018). Zbl. (1101.51002).
- 2002 The Theorem of Pappus: A Bridge between Algebra and Geometry. The American Mathematical Monthly 109 , no. 6, June/July, 497-516. MR1908005 (2003c:51001). Zbl (1052.20016).
- 1999 Anneli Lax in memorium. Humanistic Mathematics Journal 21 , 1.
- 1996 The next step: Extended group projects for introductory mathematics classes. With R. Vakilian. Primus 6, no. 2, 167-177.
- 1995 In the shadow of giants. The work of Mario Pieri in foundations of mathematics. History and Philosophy of Logic 16 , 107-119. MR1468603 (98e:03001), Zbl (0844.01007). Cited in MR1936800 (2300h:01022) and MR1918541 (2003g:01028).
- 1994 An Invitation to Integration in Finite Terms. With A. Zakeri. The College Mathematics Journal 25 , 295-308.
- 1993 The work of Mario Pieri in the foundations and philosophy of mathematics. With F. Rodriguez-Consuegra, University of Barcelona. History and Philosophy of Logic 14 , 215-220.
- 1993 Mario Pieri and his contributions to geometry and foundations of mathematics. Historia Mathematica 20 , 285-303. MR1238180 (94d:01074).
- 1993 Connections in Mathematics: An Introduction to Fibonacci via Pythagoras. Fibonacci Quarterly 31 , 21-27. MR1202338 (94g:01003).
- 1992 Lines without order. The American Mathematical Monthly . 738-74599, no. 8, October 1992, 738-745. MR1186458 (93j:51010).
- 1992 Mathematics as a humanistic discipline. Humanistics Mathematics Journal . April, 1992, 69-76.
- 1991 Small steps to a student centered classroom. With J. Castro, J. Gold, M. Schilling, J. Zeitlin. Primus , September, 253-274.
- 1989 Mario Pieri: His contributions to the foundations and teaching of Geometry. Historia Mathematica 16 (3), 287-288.
- 1984 Mathematics 095, Review of pre-college mathematics: A Modular, Multi-Media Course. With J. Hartzog. International Journal of Mathematics, Education, Science and Technology 15 , 221-230.
- 2017 A case study in Hersh’s Philosophy: Bézout’s Theorem. In Humanizing Mathematics and its Philosophy: Essays Celebrating the 90th Birthday of Reuben Hersh. Bharath Sriraman, Ed. Reviewed by Joseph Auslander in the Notices of the American Mathematical Volume 65, Number 11, December 2018, 1424-1429. https://www.ams.org/journals/notices/201811/201811FullIssue.pdf
- 2011 Foundations of geometry in the school of Peano. In: Giuseppe Peano between Mathematics and Logic. F. Skof, Ed. Milan: Springer-Verlag. (ISBN 978-88-470-1835-8) Chapter 9, 157-169. MR2856948
- 2010 L’opera scientifica di Mario Pieri (1860-1913) a 150 anni dalla nascita. With A. Brigaglia, E. Luciano, F. Arzarello. In: Conferenze e Seminari dell’Associazione Subalpina Mathesis 2009-2010. F. Ferrara, L. Giacardi, M. Mosca, Eds. Torino: Kim Williams Books, 279-287.
- 2001 The graduate student as teacher: faculty meetings as a catalyst for teacher development. In Mathematics Education: An Encyclopedia . Taylor and Francis.
- 2001 Contributions to the Dictionary of Classical and Theoretical Mathematics. C. Cavagnaro & W.T. Haight, Eds.
- 1993 Teaching Mathematics Humanistically: A New Look at an Old Friend. In: Essays in Humanistic Mathematics. Mathematical Association of America (MAA) Notes Series, 1993, 183-190.
- Califano, M. B. Ed. Paradossi e disarmonie nelle scienze e nelle arti. History and Philosophy of Logic, 30 (3), 2009
- Charpentier, Eric, Annick Lesne, and Nikolai Nikolski, Editors Kolmogorov’s Heritage in Mathematics. Book Review MAA online.
- Magnani, Lorenzo . Philosophy and Geometry, Theoretical and Historical Issues. Book Review Mathesis. Series III, volume 2, no. 2, July-December, 2006, 403-404.URL
- Polster, Burkard. A Geometrical Picture Book. Book Review MAA online, 1999
- Wilson, Alistair Macintosh. The Infinite in the Finite. Book Review. Maa online, 1999.