Mathematics in Art and Architecture (GEK1518) - References
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- Mathematics
in Art
- Martha Boles and Rochelle Newman, The Surface Plane:
The Golden Relationship: Art, Math and Nature, Pythagorean Press,
1992.
- Michele Emmer, The Visual Mind: Art and Mathematics,
The MIT Press, 1993.
- Matila Ghyka, The Geometry of Art and Life, Dover Publications,
Inc., 1977.
- Jay Kappraff, Connections: The Geometric Bridge between
Art and Science, World Science Publishing Co. Pte. Ltd., 2001.
- Jay Kappraff, Beyond Measure: A Guided Tour Through
Nature, Myth, and Number, World Science Publishing Co. Pte. Ltd.,
2002.
- Martin Kemp, The Science of Art, Yale University Press,
1990.
- Robert Lawlor, Sacred Geometry, Thames & Hudson
Ltd., 1982.
- Rochelle Newman and Martha Boles, Universal Patterns:
The Golden Relationship: Art, Math and Nature, Pythagorean Press,
1992.
- Rochelle Newman and Donna M. Fowler, Space, Structure
and Form: Interweaving Art, Math and Nature in Three Dimensions,
Pythagorean Press, 1996.
- Dan Pedoe, Geometry and the Visual Arts, Dover Publications,
Inc., 1976.
- Ivars Peterson, Fragments of Infinity: A Kaleidoscope
of Math and Art, John Wiley & Sons, Inc., 2001.
- Michael S. Schneider, A Beginner's Guide to Constructing
the Universe: The Mathematical Archetypes of Nature, Art, And Science,
Harper Perennial, 1995.
- Mathematics
in Architecture
- Jenny A. Baglivo and Jack E. Graver, Incidence and Symmetry
in Design and Architecture, Cambridge University Press, 1983.
- William Blackwell, Geometry in Architecture, John Wiley & Sons,
Inc., 1984.
- George L. Hersey, Architecture and Geometry in the Age
of the Baroque, The University of Chicago Press, 2000.
- Roger Herz-Fischler, The Shape of the Great Pyramid,
Wilfrid Laurier University Press, 2000.
- Lionel March and Philip Steadman, Geometry of Environment,
The MIT Press, 1974.
- Lionel March, Architectonics of Humanism: Essays on
Number in Architecture, Academy Editions, 1998.
- A.T. Mann, Sacred Architecture, Element, 1993.
- Mario Salvadori, The Art of Construction, Chicago Review
Press, 1990.
- Garry Stevens, The Reasoning Architect: Mathematics
and Science in Design, McGraw Hill Publishing Company, 1990.
- Vitruvius, Ten Books on Architecture. Translated by
Ingrid D. Rowland, Commentary and Illustrations by Thomas Noble
Howe, Cambridge University Press, 1999.
- Kim Williams (ed.), NEXUS: Architecture and Mathematics,
Edizioni dell'Erba, 1996.
- Kim Williams (ed.), NEXUS II: Architecture and Mathematics,
Edizioni dell'Erba, 1998.
- Mathematics
in Nature
- John A. Adam, Mathematics in Nature: Modeling Patterns
in the Natural World, Princeton University Press, 2003.
- Theodore Andrea Cook, The Curves of Life, Dover Publications,
Inc., 1979.
- Stefan Hildebrandt and Anthony Tromba, Mathematics and
Optical Form, Scientific American Library, 1985.
- Peter S. Stevens, Patterns in Nature, Penguin Books,
1974.
- Visual
Mathematics
- C.J. Budd and C.J. Sangwin, Mathematics Galore!, Oxford
University Press, 2001.
- H.S.M. Coxeter, Introduction to Geometry, John Wiley & Sons,
1961.
- David Gay, Geometry by Discovery, John Wiley & Sons,
1998.
- Paulus Gerdes, Geometry from Africa: Mathematical and
Educational Explorations, Mathematical Association of America,
1999.
- J.L. Heilbron, Geometry Civilized, Oxford University
Press, 2000.
- David Hilbert and S. Cohn-Vossen, Geometry and the Imagination,
Chelsea Publishing Company, 1952.
- L. Christine Kinsey and Teresa E. Moore, Symmetry, Shape
and Space, Key College Publishing, 2002.
- Arthur L. Loeb, Concepts & Images:
Visual Mathematics, Birkhäuser, 1993.
- Eli Maor, To Infinity and Beyond, Princeton University
Press, 1991.
- George E. Martin, Transformation Geometry: An Introduction
To Symmetry, Springer-Verlag, 1982.
- Phares G. O'Daffer and Stanley R. Clemens, Geometry:
An Investigative Approach, Addison-Wesley Publishing Company, 1992.
- H.L. Resnikoff and R.O. Wells, Jr., Mathematics in Civilization,
Dover Publications, Inc., 1984.
- Thomas Q. Sibley, The Geometric Viewpoint: A Survey
of Geometries, Addison Wesley Longman, 1998.
- Hermann Weyl, Symmetry, Princeton University Press,
1952.
- Perspective
in Painting
- Willy A. Bärtschi, Linear Perspective, Van Nostrand
Reinhold Company, 1981.
- Katherine McL. Byers and James M. Henle, Where the Camera
Was, Mathematics Magazine 77 (2004), 251-259.
- Alison Cole, Perspective, Dorling Kindersley, 2000.
- Rex Vicat Cole, Perspective for Artists, Dover, 1976.
First published by Seeley, London, 1921.
- Fred Dubery and John Willats, Perspective and other
drawing systems, Van Nostrand Reinhold Company, 1972.
- David Falk, Dieter Brill and David Stork, Seeing the
Light: Optics in Nature, Photography, Color, Vision, and Holography,
John Wiley, 1986.
- J.V. Field, The Invention of Infinity: Mathematics and
Art in the Renaissance, Oxford University Press, 1997.
- Robert W. Gill, Basic Perspective, Thames and Hudson,
1974.
- David Hockney, Secret Knowledge: Rediscovering the lost
techniques of the old masters, Thames and Hudson, 2001.
- William M. Ivins, Jr., On the Rationalization of Sight,
Da Capo Press, 1973.
- Jan Krikke, The corridor of space : China, modernists, and the cybernetic century
- Michael Kubovy, The Psychology of Perspective and Renaissance
Art, Cambridge University Press, 1986.
- John Montague, Basic Perspective Drawing: A Visual Approach,
Van Nostrand Reinhold, 1993.
- M.H. Pirenne, Optics, Painting & Photography,
Cambridge University Press, 1970.
- Philip Steadman, Vermeer's Camera: The Truth Behind
the Masterpieces, Oxford University Press, 2001.
- John Willats, Art and Representation, Princeton University Press, 1997.
- Georg Wolff, Mathematik und Malerei, Mathematisch-Physikalische
Bibliothek, Band 20/21, Verlag B.G. Teubner, 1925.
- Symmetry,
Tilings and Patterns
- Jinny Beyer, Designing Tessellations, Contemporary Books,
1999.
- Michael Field and Martin Golubitsky, Symmetry in Chaos:
A Search for Pattern in Mathematics, Art and Nature, Oxford University
Press, 1992.
- Branko Grünbaum and G.C. Shephard, Tilings and Patterns,
W. H. Freeman and Company, 1987.
- István Hargittai and Madgolna Hargittai, Symmetry: A
Unifying Concept, Shelter Publications, Inc., 1994.
- Clare E Horne, Geometric Symmetry in Patterns and Tilings,
CRC Press, 2000.
- Slavik Vlado Jablan, Symmetry, Ornament and Modularity,
World Scientific, 2002.
- Owen Jones, The Grammar of Ornament, Dorling Kindersley,
2001. Originally published by Day & Son, 1856.
- E.H. Lockwood and R.H. Macmillan, Geometric Symmetry,
Cambridge University Press, 1978.
- Dale Seymour and Jill Britton, Introduction to Tessellations.
- A.V. Shubnikov and V.A. Koptsik, Symmetry in Science
and Art, Plenum Press, 1974.
- Peter S. Stevens, Handbook of Regular Patterns, The
MIT Press, 1981.
- Dorothy K. Washbourn and Donald W. Crowe, Symmetries
of Culture, University of Washington Press, 1988.
- Brian Wichmann, The World of Patterns, World Scientific,
2001.
- Chinese
Patterns
- Daniel Sheets Dye: Chinese Lattice Designs, Dover Publications,
Inc., 1974.
- Islamic
Patterns
- Syed Jan Abas and Amer Shaker Salman, Symmetries of
Islamic Geometrical Patterns, Scientific World, 1995.
- Sheila S. Blair and Jonathan M. Bloom, The art and architecture
of Islam 1250-1800, Yale University Press, 1994.
- Dominique Clévenot, Splendors of Islam: Architecture,
Decoration and Design, The Vendome Press, 2000.
- Keith Critchlow, Islamic Patterns: An Analytical and
Cosmological Approach, Inner Traditions International, 1999.
- Eva Wilson, Islamic Designs for Artists and Craftspeople,
Dover Publications, Inc., 1988.
- The
Golden Ratio
- Roger Herz-Fischler, A Mathematical History of the Golden
Number, Dover Publications, Inc., 1998.
- H.E. Huntley, The Divine Proportion: A Study in Mathematical
Beauty, Dover Publications, Inc., 1970.
- Mario Livio, The Golden Ratio: The Story of Phi, the
World's Most Astonishing Number, Broadway Books 2002.
- George Markowsky, Misconceptions about the Golden Ratio,
College Math. J., 23 (1992), 2-19.
- Hans Walser, The Golden Section, The Mathematical Association
of America, 2001.
- Polyhedra
- W.W. Rouse Ball and H.S.M Coxeter, Mathematical Recreation
and Essays, Dover Publications, Inc., 1987.
- Keith Critchlow, Order in Space: A Design Source Book,
Thames & Hudson, 1969.
- Peter R. Cromwell, Polyhedra, Cambridge University Press,
1997.
- H.M. Cundy and A.P. Rollett, Mathematical Models, Tarquin
Publications, 1981.
- George W. Hart and Henri Picciotto, Zome Geometry: Hands-on
Leaning with Zome Models, Key Curriculum Press, 2001.
- Peter Hilton and Jean Pedersen, Build Your Own Polyhedra,
Addison-Wesley Publishing Company, 1994.
- Alan Holden, Shapes, Space and Symmetry, Dover Publications,
Inc., 1991.
- Peter Pearce, Structure in Nature is a Strategy for
Design, The MIT Press, 1990.
- Anthony Pugh, Polyhedra: A Visual Approach, University
of California Press, 1976.
- A. R. Rajwade, Convex Polyhedra with Regularity Conditions
and Hilbert's Third Problem, Hindustan Book Agency, 2001.
- Marjorie Senechal and George Fleck, Shaping Space: A
Polyhedral approach, Birkhäuser Boston, Inc., 1988.
- Robin Van Loon, Geodesic Domes, Tarquin Publications,
2000.
- Magnus J. Wenninger, Polyhedron Models for the Classroom,
National Council of Teachers of Mathematics, 1975.
- Robert Williams, The Geometrical Foundation of Natural
Structure: A Source Book of Design, Dover Publications, Inc., 1979.
- Escher
- H.S.M. Coxeter, M. Emmer, R. Penrose and M.L. Teuber,
M.C. Escher: Art and Science, Elsevier Science Publishers, 1986.
- Bruno Ernst, The Magic Mirror of M.C. Escher, Ballantine
Books, 1976.
- Caroline H. MacGillavry, Fantasy & Symmetry:
The Periodic Drawings of M.C. Escher, Harry N. Abrams, Inc., 1976.
- Doris Schattschneider and M. Emmer (eds.), M.C. Escher's
Legacy: A Centennial Celebration, Springer-Verlag, 2003.
- Doris Schattschneider, M.C. Escher: Visions of Symmetry,
W. H. Freeman and Company, 1990.
- Doris Schattschneider and Wallace Walker, M.C. Escher
Kaleidocycles, Pomegranate Artbooks, 1987.
- Holbein
- Susan Foister, Ashok Roy and Martin Wyld, Making & Meaning:
Holbein's Ambassadors, National Gallery Company, 1997.
- J.D. North, The Ambassadors' Secret: Holbein and the
World of the Renaissance, Hambledon and London, 2002.
- Mazes
and Labyrinths
- Adrian Fisher and Georg Gerster, The Art of the Maze,
Adrian Fisher & Georg Gerster, 1990.
- Adrian Fisher and Diana Kingham, Mazes, Shire Publications
Ltd., 2000.
- Adrian Fisher and Howard Loxton, Secrets of the Maze,
Barons, 1997.
- Kaleidoscopes
- Thom Boswell (ed.), The Kaleidoscope Book: A Spectrum
of Spectacular Scopes to Make, Sterling Publishing Company, Inc.,
1995.
- The
Fourth Dimension
- Thomas Banchoff, Beyond the Third Dimension, Scientific
American Library, 1996.
- Optical
Illusions
- S. Tolansky, Optical Illusions, Pergamon Press, 1964.
- Fortifications
- Martin H. Brice, Stronghold: A History of Military Architecture,
Batsford, 1984.
- Christopher Duffy, Siege Warfare: The Fortress in the
Early Modern World 1494-1660, Routledge and Kegan Paul, 1979.
- Christopher Duffy, Fire & Stone:
The Science of Fortress Warfare 1660-1860, David and Charles, 1975.
- Marguerita Z. Herman, Ramparts: Fortifications From
the Renaissance to West Point, Avery Publishing Group, 1992.
- Architecture
in Singapore
- LEE Geok Boi, The Religious Monuments of Singapore:
Faiths of our Forefathers, Landmark Books, 2002.
- Music
- John Fauvel, Raymond Flood and Robin Wilson (eds.),
Music and Mathematics: From Pythagoras to Fractals, Oxford University
Press, 2003.
- Douglas R. Hofstadter, Gödel, Escher, Bach: An Eternal
Golden Braid, Penguin Books, 1979.
- Eli Maor, E: The Story of a Number, Princeton University
Press, 1998.
Helmer
Aslaksen
Department
of Mathematics
National
University of Singapore
aslaksen@nus.edu.sg
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