Architecture and Mathematics

References

Ackerman, James. Palladio. Harmondsworth: Penguin, 1966.

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

Alberti, Leon Battista. De re aedificatoria. Florence, 1486. English translation by Joseph Rykwert, Robert Tavernor and Neil Leach: On the Art of Building. Cambridge, Mass.: MIT Press, 1988.

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

Belli, Silvio. Della Proportione, et Proportionalità, Communi Passioni del Quanto, Libri Tre. Venice, 1573. English translation and commentary by Stephen R. Wassell and Kim Williams, with a foreword by Lionel March: Silvio Belli, On Ratio and Proportion, The common Properties of Quantity. Florence: Kim Williams Books, 2002.

Beltramini, Guido, Antonio Padoan, Howard Burns and Pino Guidolotti. Andrea Palladio: The Complete Illustrated Works. New York: Universe Publishing, 2001.

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.

Boucher, Bruce. Andrea Palladio: The Architect in his Time. New York: Abbeville Press, 1994.

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.

Ching, Francis D. K., Mark M. Jarzombek, and Vikramaditya Prakash. A Global History of Architecture. Hoboken, New Jersey: John Wiley & Sons, 2007.

Cooper, Tracy E. Palladio’s Venice: Architecture and Society in a Renaissance Republic. New Haven, Conn.: Yale University Press, 2006.

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.

Fletcher, Rachel. “Palladio’s Villa Emo: The Golden Proportion Hypothesis Defended.” Nexus Network Journal 3 (2001), 105-112.

———. “Golden Proportions in a Great House: Palladio’s Villa Emo.” Pp. 73-85 in Nexus III: Architecture and Mathematics. Kim Williams, ed. Pisa: Pacini Editore, 2000.

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.

———. 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.

Howard, Deborah and Malcolm Longair. “Harmonic Proportion and Palladio’s Quattro Libri.” Journal of the Society of Architectural Historians 41 (1982), 116–143.

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.

Leonardis, Rocco. Systematic Guide to Perspective: A Step-By-Step Handbook for the Classroom & the Professional. New York: New York School of Interior Design, 1998.

Lewis, Douglas. The Drawings of Andrea Palladio. Washington D.C.: International Exhibitions Foundation, 1981.

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.

———. “Palladio’s Villa Emo: The Golden Proportion Hypothesis Rebutted.” Nexus Network Journal 3 (2001), 85-104.

———. “Architectonics of proportion: a shape grammatical depiction of classical theory,” Environment and Planning ‘B’: Planning and Design 26 (1999), 91−100.

———. “Architectonics of proportion: historical and mathematical grounds.” Environment and Planning ‘B’: Planning and Design 26 (1999), 447−454.

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.

Mitrovic, Branko. “Palladio’s Theory of Proportions and the Second Book of the Quattro Libri dell’Architettura”, Journal of the Society of Architectural Historians 49 (1990), 279–292.

———. “Palladio’s Theory of Classical Orders in the First Book of I Quattro Libri Dell’Architettura.” Architectural History 42 (1999), 110–140.

———. “A Palladian Palinode: Reassessing Rudolf Wittkower’s Architectural Principles in the Age of Humanism.” Architectura 31 (2001), 113–131.

———. Learning from Palladio. New York: Norton, 2004.

Mitrović, Branko and Stephen R.Wassell. Andrea Palladio: Villa Cornaro in Piombino Dese. New York: Acanthus Press, 2006.

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. I quattro libri dell’architettura. Venice, 1570. English translation by Robert Tavernor and Richard Schofield: Andrea Palladio, The Four Books on Architecture. Cambridge, Mass.: 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.

Puppi, Lionello. Andrea Palladio. Milan: Electa, 1973. English translation by Pearl Sanders. Andrea Palladio. Boston: New York Graphic Society, 1975.

Robison, Elwin, C. “Structural Implications in Palladio's Use of Harmonic Proportions.” Annali d’architettura 10–11 (1998–1999), 175–182.

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. “The Mathematics of the Ideal Villa” was first published in Architectural Review 101 (1947), 101–104.

Rykwert, Joseph. The Palladian Ideal. New York: Rizzoli, 1999.

Sarhangi, Reza, ed. Bridges: Mathematical Connections in Art, Music, and Science. Conference Proceedings 1998. Winfield, Kansas, USA: Bridges Conference, 1998. Subsequent Bridges conferences proceedings are published annually.

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

Serlio, Sebastiano. Tutte l’opere d’architettura et prospetiva. Venice, 1619. English translation by Vaughan Hart and Peter Hicks: On Architecture. New Haven and London: Yale University Press, 1996.

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

Spinadel, Vera de. “‘Triangulature’ in Andrea Palladio.” Nexus Network Journal 1 (1999), 117–120.

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

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

Stiny, George and William J. Mitchell. “The Palladian Grammar.” Environment and Planning ‘B’: Planning and Design 5 (1978), 5−18.

Tavernor, Robert. Palladio and Palladianism. London: Thames and Hudson, 1991.

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, Giacopo Barozzi da. Regola delli cinque ordini. Rome, 1563. English translation with a reprint of the second edition (Rome, 1572) by Branko Mitrovic, Canon of the Five Orders of Architecture. New York: Acanthus, 1999.

Vitruvius. De architectura. English translations by Morris Hickey-Morgan, The Ten Books on Architecture. New York: Dover, 1960 and Ingrid Rowland, Ten Books on Architecture. New York: Cambridge University Press, 1999.

Wassell, Stephen. “The Mathematics of Palladio’s Villas.” Nexus Network Journal 1 (1999), 121–128.

———. “Andrea Palladio (1508-1580).” Nexus Network Journal 10 (2008), 213–225.

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. Subsequent Nexus conferences proceedings are published biennially.

———. Nexus Network Journal: Architecture and Mathematics. Basel: Birkhauser, 1999. Volume 1 published in 1999, and subsequent volumes and numbers are published at least annually.

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. First published as vol. 19 of Studies of the Warburg Institute in 1949.

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.