Architecture and Mathematics

References

Adams, William Howard. Jefferson’s Monticello. New York: Abbeville Press, 1983.

Alberti, Leon Battista. On the Art of Building in Ten Books (De re aedificatoria). Joseph Rykwert, Neil Leach and Robert Tavernor, trans. Cambridge, MA: MIT Press, 1988.

Artmann, Benno. Euclid: The Creation of Mathematics. New York: Springer-Verlag, 1999.

Bennett, James A. The Mathematical Science of Christopher Wren. Cambridge, UK: Cambridge University Press, 1982.

Blackwell, William. Geometry in Architecture. New York: Wiley, 1984.

Boesiger, Willy and Hans Girsberger, eds. Le Corbusier 1910-65. Boston: Birkhauser, 1999.

Bovill, Carl. Fractal Geometry in Architecture and Design. New York: Springer-Verlag, 1995.

Brawne, Michael. University of Virginia the Lawn: Thomas Jefferson (Architecture in Detail). London: Phaidon Press, 1994.

Brunés, Tons. The Secrets of Ancient Geometry and Its Use. 2 vols. Copenhagen: Rhodes, 1967.

Burke, Edmund. A Philosophical Enquiry into the Origin of our Ideas of the Sublime and Beautiful. New York: Columbia University, 1958.

Ching, Frank. Architectural Graphics. New York: Van Nostrand Reinhold, 1985.

Cowen, Painton. Rose Windows. San Francisco: Chronicle Books, 1979.

Eco, Umberto. Art and Beauty in the Middle Ages. New Haven: Yale University Press, 1988.

El-Said, Issam. Islamic Art and Architecture: The System of Geometric Design. Tarek El-Bouri and Keith Critchlow, eds. Reading, UK: Garnet Publishing Limited, 1993.

Emmer, Michele. The Visual Mind: Art and Mathematics. Cambridge, MA: MIT Press, 1993

Euclid. The Thirteen Books of Euclid’s Elements. 3 vols. Sir Thomas Heath, ed. New York: Dover Books, 1956.

Evans, Robin. The Projective Cast: Architecture and Its Three Geometries. Cambridge, MA: MIT Press, 1995.

Fletcher, Sir Banister. A History of Architecture. Butterworth-Heinemann, 1987.

Fowler, David. The Mathematics of Plato’s Academy: A New Reconstruction. New York: Oxford University Press, 1999.

Gast, Klaus-Peter and Arthur Ruegg. Le Corbusier: Paris-Chandigarh. Boston: Birkhauser, 2000.

Gerdes, Paulus. Geometry From Africa: Mathematical and Educational Explorations. Washington, DC: Mathematical Association of America, 1999.

Hambidge, Jay. The Parthenon and Other Greek Temples: Their Dynamic Symmetry. New Haven: Yale University Press, 1924.

Hargittai, István and Magdolna Hargittai. Symmetry: A Unifying Concept. Bolinas, California: Shelter Publications, 1994.

Heath, Thomas L. A History of Greek Mathematics. 2 vols. New York: Dover Publications, 1981.

Heilbron, J. L. The Sun in the Church: Cathedrals as Solar Observatories. Cambridge, MA: Harvard Univ Press, 1999.

Hersey, George and Richard Freedman. Possible Palladian Villas (Plus a Few Instructively Impossible Ones). Cambridge, MA: MIT Press, 1992.

Hersey, George. Architecture and Geometry in the Age of the Baroque. Chicago: University of Chicago Press, 2001.

Herz-Fischler, Roger. A Mathematical History of the Golden Number. New York: Dover Publications, 1998.

Herz-Fischler, Roger. The Shape of the Great Pyramid. Waterloo, Ontario: Wilfrid Laurier University Press, 2000.

Hiscock, Nigel. The Wise Master Builder: Platonic Geometry in Plans of Medieval Abbeys and Cathedrals. Hampshire, UK: Ashgate, 2000.

Huntley, H. E. The Divine Proportion: A Study in Mathematical Beauty. New York: Dover Publications, 1970.

Kappraff, Jay. Connections: The Geometric Bridge Between Art and Science. New York: McGraw-Hill, 1991.

Katz, Victor J. A History of Mathematics: An Introduction. New York: Addison Wesley Longman, 1998.

Kitao, Timothy K. Circle and Oval in the Square of Saint Peter's. New York: New York University, 1974.

Krier, Rob. Architectural Composition. New York: Rizzoli, 1988.

Lawlor, Robert. Sacred Geometry: Philosophy and Practice. New York: Thames and Hudson, 1989.

Le Corbusier, Le Modulor and Modulor 2. English edition. Boston: Birkhauser, 2000.

Leyton, Michael. Symmetry, Causality, Mind. Cambridge, MA: MIT Press, 1992.

Lund, Fredrik Macody. Ad Quadratum: A Study of the Geometrical Bases of Classic & Medieval Religious Architecture. 2 vols. London: B. T. Batsford, 1921.

March, Lionel. Architectonics of Humanism: Essays on Number in Architecture. London: Academy Editions, 1998.

Millon, H. A. and V. M. Lampugnani, eds. The Renaissance from Brunelleschi to Michelangelo: The Representation of Architecture. Venice: Bompiani, 1994.

Michell, John. The New View over Atlantis. New York: Harper Collins, 1982.

Moore, Charles W. and Gerald Allen. Dimensions: Space, Shape & Scale in Architecture. New York: Architectural Records Books, 1976.

Newman, Rochelle and Martha Boles. The Golden Relationship in Art, Math, and Nature (Book 1: Universal Patterns; Book 2: The Surface Plane). Bradford: Pythagorean Press, 1992.

Newton, Norman T. Design on the Land: The Development of Landscape Architecture. Cambridge, MA: Belknap Press of Harvard University Press, 1971.

Nichols, Frederick D. Thomas Jefferson's Architectural Drawings. Boston: Massachusetts Historical Society, 1961.

Nicomachus of Gerasa. Introduction to Arithmetic. M.L. D'Ooge, trans. Ann Arbor: University of Michigan Press, 1938.

Palladio, Andrea. The Four Books of Architecture (I quattro libri dell’architettura). Robert Tavernor and Richard Schofield, trans. Cambridge, MA: MIT Press, 1997.

Pennethorne, John. Geometry and Optics of Ancient Architecture. London: Williams and Norgate, 1878.

Padovan, Richard. Proportion: Philosophy, Science and Architecture. London: E & FN Spon, 1999.

Panofsky, Erwin. Meaning in the Visual Arts. Chicago: University of Chicago Press, 1982.

Pedoe, Daniel. Geometry and the Visual Arts. New York: Dover, 1983.

Pérez-Gómez, Alberto. Architecture and the Crisis of Modern Science. Cambridge, MA: MIT Press, 1983.

Rose, P. L. The Italian Renaissance of Mathematics: Studies on Humanists and Mathematicians from Petrach to Galileo. Geneva: Librarie Droz, 1975.

Rowe, Colin. The Mathematics of the Ideal Villa and Other Essays. Cambridge, MA: MIT, 1982.

Sarhangi, Reza, ed. Bridges: Mathematical Connections in Art, Music, and Science. Conference Proceedings 1998. Winfield, Kansas, USA: Bridges Conference, 1998.

Sarhangi, Reza, ed. Bridges: Mathematical Connections in Art, Music, and Science. Conference Proceedings 1999. Winfield, Kansas, USA: Bridges Conference, 1999.

Sarhangi, Reza, ed. Bridges: Mathematical Connections in Art, Music, and Science. Conference Proceedings 2000. Winfield, Kansas, USA: Bridges Conference, 2000.

Sarhangi, Reza, ed. Bridges: Mathematical Connections in Art, Music, and Science. Conference Proceedings 2001. Winfield, Kansas, USA: Bridges Conference, 2001.

Scholfield, P. H. The Theory of Proportion in Architecture. Cambridge, UK: Cambridge University Press, 1958.

Serlio, Sebastiano. The Five Books of Architecture. New York: Dover Publications, 1982.

Serlio, Sebastiano. On Architecture, Vol. 2 (Books VI-VII of “Tutte l’opere d’architettura et prospetiva” with “Castrametation of the Romans” and “The Extraordinary Book of Doors”). Vaughan Hart and Peter Hicks, trans. New Haven, CT: Yale University Press, 2001.

Sitte, Camillo. City Planning According to Artistic Principles. G. R. Collins and C. C. Collins, trans. New York: Random House, 1965.

Steadman, J. P. Architectural Morphology. London: Pion Ltd., 1983.

Stewart, Ian and Martin Golubitsky. Fearful Symmetry: Is God a Geometer? Oxford: Blackwell Publishers, 1993.

Tompkins, Peter. Secrets of the Great Pyramid. New York: Budget Books, 1997.

Trachtenberg, Marvin and Isabelle Hyman, Architecture: From Prehistory to Post-Modernism. Englewood Cliffs, NJ: Prentice Hall, 1986.

Venturi, Robert. Complexity and Contradiction in Architecture. Garden City, NY: Doubleday, 1966.

Vignola, Giacomo Barozzi da. Canon of the Five Orders of Architecture. Branko Mitrovic, trans. New York: Acanthus Press, 1999.

Vitruvius. Ten Books on Architecture (De Architectura). Indgrid D. Rowland and Thomas Noble Howe, trans. Cambridge, UK: Cambridge University Press, 1999.

Vitruvius. The Ten Books on Architecture (De Architectura). Morris Hicky Morgan, trans. New York: Dover Publications, 1960.

Weyl, Hermann. Symmetry. Princeton: Princeton University, 1952.

Williams, Kim. Italian Pavements: Patterns in Space. Houston: Anchorage Press, 1997.

Williams, Kim, ed. Nexus: Architecture and Mathematics. Fucecchio, Florence: Edizioni dell’Erba, 1996.

Williams, Kim, ed. Nexus II: Architecture and Mathematics. Fucecchio, Florence: Edizioni dell’Erba, 1998.

Williams, Kim, ed. Nexus III: Architecture and Mathematics. Pisa: Pacini Editore, 2000.

Williams, Kim ed. Nexus Network Journal, vol. 1 (1999).

Williams, Kim ed. Nexus Network Journal, vol. 2 (2000)

Williams, Robert. The Geometrical Foundation of Natural Structure. New York: Dover Publications, 1979.

Wilson, Grace. Geometry for Architects. Stipes Dover, 1975.

Wilson, Richard Guy, ed. Thomas Jefferson's Academical Village: The Creation of an Architectural Masterpiece. Charlottesville: University Press of Virginia, 1993.

Wittkower, Rudolf. Architectural Principles in the Age of Humanism. Chichester, West Sussex: Academy Editions, 1998.

Although lengthy, this list is by no means exhaustive of the literature, especially regarding urban planning and landscape architecture. The holdings here at SBC are quite extensive; most of the books listed above can be found in one of our libraries. Once a book is located, a browsing of adjacent books on the shelves will result in other useful findings. The instructor will also recommend several pertinent journal articles. The student is not expected to read all of these books from cover to cover during this course but rather to choose from this list based on her specific topic of study.