References for Piero della Francesca
- W P D Wightman, Biography in Dictionary of Scientific Biography (New York 1970-1990).
http://www.encyclopedia.com/topic/Piero_della_Francesca.aspx#5
- Biography in Encyclopaedia Britannica.
http://www.britannica.com/EBchecked/topic/459853/Piero-della-Francesca
Books:
- J R Banker, The culture of San Sepolcro during the youth of Piero della Francesca (University of Michigan Press, 2003)).
- A Busignani, Piero della Francesca: the life and work of the artist (Thames & Hudson, 1968).
- K Clark, Piero della Francesca (Phaidon, London, 1969).
- M D Davis, Piero della Francesca's Mathematical Treatises (Longo Editore, Ravenna, 1971).
- J V Field, The Invention of Infinity: Mathematics and Art in the Renaissance (Oxford University Press, Oxford, 1997).
- J V Field, Piero della Francesca : a mathematician's art (Yale University Press, 2005).
- C Ginzburg, The enigma of Piero: Piero della Francesca (Verso, 2002).
- M A Lavin, Piero della Francesca: the Flagellation (University of Chicago Press, Chicago, 1990).
- R Longhi, Piero della Francesca (F Warne & Co., London, 1930).
- N Rowley, Piero della Francesca: from Arezzo to Sansepolcro (Scala, 2007).
- G Vasari, Lives of the artists (Penguin Classics, 1987).
- L Venturi, Piero della Francesca: biographical and critical studies (Skira, 1959).
Articles:
- K Andersen, The mathematical treatment of anamorphoses from Piero della Francesca to Niceron, in History of mathematics (San Diego, CA, 1996), 3-28.
- K Andersen, Perspective and the plan and elevation technique, in particular in the work by Piero della Francesca, in Amphora (Basel, 1992), 1-23.
- G Arrighi, Artisti matematici del rinascimento : Piero della Francesca e Francesco di Giorgio Martini, in 1971 Actes XIIe Congrès Internat. d'Histoire des Sciences Tome IV : Histoire des Mathématiques et de la Mécanique (Paris, 1971), 5-9.
- G Arrighi, Note di algebra di Piero della Francesca, Physis - Riv. Internaz. Storia Sci. 9 (1967), 421-424.
- J R Banker, Piero della Francesca as Assistant to Antonio d'Anghiari in the 1430s: Some Unpublished Documents, The Burlington Magazine 135 (1078) (1993), 16-21.
- J Beck, Francesca at San Francesco in Arezzo: An Art-Historical Peregrination, Artibus et Historiae 24 (47) (2003), 51-80.
- M Daly Davis, Luca Pacioli, Piero della Francesca, Leonardo da Vinci: between 'proportionality' and 'perspective' in the 'Divina proportione', in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 355-362.
- J Elkins, Piero della Francesca and the Renaissance Proof of Linear Perspective, The Art Bulletin 69 (2) (1987), 220-230.
- J V Field, Piero della Francesca and the 'distance point method' of perspective construction, Nuncius Ann. Storia Sci. 10 (2) (1995), 509-530.
- J V Field, Piero della Francesca's treatment of edge distortion, J. Warburg Courtauld Inst. 49 (1986), 66-90.
- J V Field, Rediscovering the Archimedean polyhedra: Piero della Francesca, Luca Pacioli, Leonardo da Vinci, Albrecht Dürer, Daniele Barbaro, and Johannes Kepler, Arch. Hist. Exact Sci. 50 (3-4) (1997), 241-289.
- J V Field, Piero della Francesca as practical mathematician: the painter as teacher, in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 331-354.
- M Folkerts, Piero della Francesca and Euclid, in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 293-312.
- E Gamba and V Montebelli, Geometry in the Treatise on the abacus and the Libellus de quinque corporibus regularibus of Piero della Francesca: a critical comparison (Italian), in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 253-268.
- E Giusti, Medieval sources of Piero della Francesca's 'Algebra' (Italian), Boll. Storia Sci. Mat. 13 (2) (1993), 199-250.
- E Giusti, The algebra in the 'Trattato d'abaco' of Piero della Francesca : observations and conjectures (Italian), Boll. Storia Sci. Mat. 11 (2) (1991), 55-83.
- E Giusti, Medieval sources of Piero della Francesca's 'Algebra' (Italian), in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 313-329.
- P F Grendler, What Piero learned in school: Fifteenth-Century Vernacular Education, in M.A. Lavin (ed.), Piero della Francesca and His Legacy (University Press of New England, 1995), 161-176.
- M A Lavin, Computers and Art History: Piero della Francesca and the Problem of Visual Order, New Literary History 20 (2) (1989), 483-504.
- M A Lavin and M I Redleaf, Heart and Soul and the Pulmonary Tree in Two Paintings by Piero della Francesca, Artibus et Historiae 16 (31) (1995), 9-17.
- P Longo, Flagellation between Talete and Gauss (Italian), Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8) 2 (2) (1999), 121-144.
- M A Peterson, The geometry of Piero della Francesca, Math. Intelligencer 19 (3) (1997), 33-40.
- G Smedley, Reason and analogy. A reading of the diagrams: Piero della Francesca, Plato, Ptolemy and others, in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 385-406.
- D Stoller, Piero della Francesca - der Maler als Mathematiker, in Mathematikdidaktik, Bildungsgeschichte, Wissenschaftsgeschichte II (Cologne, 1990), 17-35.
- P Taylor and C Van Eck, Piero della Francesca's Giants, J. Warburg Courtauld Inst. 60 (1997), 243-247.
- E Ulivi, Unpublished documents concerning Luca Pacioli, Piero della Francesca and Leonardo da Vinci, with some autographs (Italian), Boll. Stor. Sci. Mat. 29 (1) (2009), 15-160.
- K Veltman, Piero della Francesca and the two methods of Renaissance perspective, in Between art and science: Piero della Francesca (Italian), Arezzo-Sansepolcro, 1992 (1996), 407-419.
- R Wittkower and B A R Carter, The Perspective of Piero della Francesca's 'Flagellation', J. Warburg Courtauld Inst. 16 (3-4) (1953), 292-302.
May 2010
MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/References/Francesca.html]