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Igor Stravinsky |
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M. Duchamp |
Claude Debussy |
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Salvador Dali |
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Activities
Fall 2004:
- 30 September 2004: Guest Lecture on Math and reality, with focus on Newton and Aristotle by Professor Marco Panza (CNRS, Universite de Paris VII, Chevaleret)
- 5 November 2004: Studio Visit. Helaman Ferguson's Studio, Baltimore
- 16 November 2004: Guest Lecture by Professor Reza Sarhangi (Towson University) on The Art and Mathematics of Star Polygons
- 30 November 2004: Guest Lecture by Professor Daniele Struppa (Dean, George Mason University)
Fall 2003:
- 11 November 2003: Guest Lecture on Neo-Platonism by Professor Daniele Struppa (George Mason University)
- 7 November 2003: Stephen Brush: Is mathematics the key to the universe? (Mathematics Colloquium, MATH 3206, 3pm)
- 14 November 2003: A universe of dreams: Poetry & Music inspired by the Hubble Space Telescope, 7:30pm
- November 2003: Trip to Helaman Ferguson’s studio in Baltimore
- November 2003: Trip to DC Museums
- 8 December 2003: Term paper due at noon in my
office (MATH 4115)
Past:
- 23 October 2003: Guest Lecture on Schoenberg and Webern by Professor Jennifer DeLapp (UMD Music).
- 15 October 2003: Pi, a movie (in-class)
- The fantastic world of M. C. Escher by Michele Emmer, 10/5/03 – 10/12/03, Hornbake Library.
Other:
- Possibilities: Guest Lectures by Ben Young and Andrew Dykstra (UMD Math), Ben Levy (UMD Music).
- In-class presentations by students (13 November- 11 December)
Links
(GEB)
Godel Escher Bach
(on google)
Collection of Escher’s paintings
Beautiful proofs in mathematics
Geometry Center
Experimental
Geometry Lab (UMD) (Rich Schwartz
(posters and games), Bill Goldman)
Art,
Mathematics and Music
Nexus Network Journal
(Architecture and Mathematics online)
BRIDGES (Annual conference) 1998
Mathematics and Art --- so many
connections (Doris Schattschneider)
Mathematics
in Art and Architecture
The
mathematics of music and the music of mathematics
Canons and Fugues of J.S.
Bach
Pathways between
Mathematics and the Arts
Geometry in Art and
Architecture
Kepler and the music of the
spheres
La musique,
le nombre, l’ordinateur
The philosopher’s stone
matrix
Hidden melody and Harmonia
Mundi
Euclidism and Theory of
Architecture
Marrying
Math and Art: Ferguson’s work
Joseph Schillinger’s system of music
Fibonacci numbers and Golden
Ratio
E-books on
Math and Art and Mathematics
across the Curriculum (Dartmouth)
The International Society of the Arts,
Mathematics, and Architecture (ISAMA)
Non-Euclidean Art (Clifford
Singer)
Mathematics and Music (Dave
Benson)
Faces of mathematics (British)
Goudreau Museum of Mathematics in Art and
Science
AM97 Art and Mathematics
Conference
AM98 Art and Mathematics
Conference
Mathematics and Art: Order in Space
The art of Renaissance
Science
Artworks at the
intersection of art and mathematics
Art History:
Mathematics and the liberal Arts
Mathematical
Models and modern Art
Art
thou Mathematics? and Mathematical
Fiction
Art and Mathematics
before the Quattrocento
There's an art - a
language art - to mathematics
The
linking of art and mathematics
The importance of mathematics
in Renaissance Art
Art is math is art
for Professor Coxeter
The
Golden Section in Art, Architecture and Music
Mathematics and Art : The film series
Mathematical Art
of M.C. Escher -- Platonic Realms MiniText
2000 - Ano Mundial da Matematica
Glasgow mathematics
internet cafe - mathematics and art
Bridges of Mathematics, Art,
and Physics
Mathematics in Art A self-directed tour for the Ball
State University Museum of Art
Whitaker Center:
Science Center
VisDays
2001 Key Note Abstracts
A TaSte of Art - Andrew Hodges
CREATIVITY: A BRIDGE
BETWEEN ART AND MATHEMATICS
Mathematica per
architettura: alcune esperienze europee by Orietta Pedemonte
Arte
e Cultura a Roma - Musei - Museo della Matematica
Scientiae
Munus - Matematica e arte –
Osservazioni sul
Piero Matematico di Daniela Gentilin e Ennio Bettanello
Modularity in Art (Electronic Journal)
Pythagorean Harmony of the Universe
Paintings
Albrecht Durer Melencolia
Raphael Scuola di Atene (details of personages)
Leonardo da Vinci (here too, hometown, drawings)
Jan Vermeer (and the Golden Section)
Marcel Duchamp Paintings
Salvador Dali Corpus Hypercubus
Churlenis: ``A painting is a rhythmic arrangement of colour in space.’’
1. A castle (fairy-tale) 2. Friendship 3. Sonata of the stars 4. Sonata of the sea (allegro) 5. Sonata of the sea (finale)
Another site for Churlenis: This is also in Russian, but scroll down , at the very bottom there are links to paintings.
(The first 13 comprise the series "Creation of the World" and then there's "sonata of Spring" (4 paintings, you'll recognize the
words "Allegro", "andante" and "Scherzo" in the titles of the first three, and the fourth one is "Finale". After that there are some non-musical paintings)
Books
Josef Albers *Interaction of
color
G.L. Alexanderson *Mathematical People * More
Mathematical People
Marcia Ascher *Mathematics Elsewhere *Mathematics of the Incas * Ethnomathematics
Gaston
Bachelard *The poetics of space
A.K. Bag *Mathematics in
Ancient and Medieval India
Thomas Banchoff *Beyond the Third
Dimension
Maurice Bazin *Mathematics across
Cultures
E.T. Bell *Men of Mathematics
* Mathematics (Queen and Servant of Science) * The Development of Mathematics *
The Magic of Numbers
John Berger *Ways of seeing *Sense of sight *About looking
David Berlinski *The Advent of the
Algorithm *Newton’s Gift
J. Bourgoin *Arabic Geometrical
Pattern and Design
Bryan Bunch *Mathematical
Fallacies and Paradoxes *Reality’s mirror: the mathematics of symmetry *The
kingdom of infinite number. A field guide
Lewis Carroll *Through the
Looking-Glass * Euclid and his modern rivals
John L. Casti *Complexification,
Five Golden Rules
Bernard Chaet *The art of drawing
*An Artist’s notebook
Gregory L. Chaitin *Conversations with
a mathematician. Math, art, science and the limits of reason.
Subrahmanyam
Chandrasekhar *Truth and Beauty:Aesthetics and Motivations in Science *
Newton's Principia for the common reader
Christopher Chippendale
*Stonehenge
Complete
Barry Cipra *What’s happening in
the Mathematical Sciences
Calvin Clawson *Mathematical
sorcery. Revealing the secrets of numbers *Mathematical mysteries. The beauty
and magic of numbers *The mathematical traveler. Exploring the grand history of
numbers.
K. C. Cole *The Universe and
the Teacup: The mathematics of truth and beauty * Sympathetic Vibrations
Alain Connes *Triangle of
thoughts * Conversations on mind, matter, and mathematics
Aaron Copland *What to listen for
in Music *Music and Imagination
H.S.M. Coxeter *The beauty of geometry. Non-Euclidean geometry * (editor) Twelve essays. M. C. Escher: art and science. Proceedings of the International Congress on M. C. Escher held at the University of Rome "La Sapienza", Rome, March 1985.
Richard Courant and
H. Robbins *What
is Mathematics?
David Darling *Equations of
Eternity
Philip J. Davis and
Rueben Hersch *The Mathematical Experience
Keith Devlin *Mathematics: the
Golden Age * Mathematics: the Science of Patterns *The millennium problems. The
seven greatest unsolved mathematical puzzles of our time. * The math gene. How
mathematical thinking evolved and why numbers are like gossip. * The language
of mathematics.* Making the invisible visible.* Goodbye, Descartes. The end of
logic and the search for a new cosmology of the mind. * All the math that's fit
to print.
A.K. Dewdney *The planiverse. Computer contact with a two-dimensional world. * A mathematical mystery tour. Discovering the truth and
beauty of the cosmos.
P.A.M. Dirac *Directions in
physics.
Marcus du Sautoy *Music of the Primes
William Dunham *Journey Through
Genius (The great theorems in mathematics)
Freeman Dyson *Infinite in all
directions
Albert Einstein,
Leopold Infeld *The Evolution of Physics
James Elkins *How to use your eyes? *Pictures and Tears
*What painting is *Stories of art *Courses(Alchemy and Art, Relationship
between Art and Science,and so on)
M.C. Escher
Richard Feynman *The character of physical
law.
Graham Flegg *Numbers. Their
history and meaning. *Nicolas Chuquet, Renaissance mathematician.
George Gamow *One Two Three …
Infinity * The adventures of Mr. Tompkins
E. H. Gombrich *Art and Illusion:A
Study in the Psychology of Pictorial Representation *The Story of Art *
Meditations on a Hobby Horse: And Other Essays on the Theory of Art * Critical
Thinking Skills * Norm and Form *New light on old masters * Ideals and Idols:
Essays on Values in History and in Art * The Image and the Eye: Further Studies
in the Psychology of Pictorial Representation
Marvin J. Greenberg *Euclidean and
non-Euclidean geometries
Michael Guillen *Bridges to
Infinity, Five Equations that changed the world
Jan Gullberg * Mathematics: from
the birth of numbers.
Jacques Hadamard *The mathematician's
mind. The psychology of invention in the mathematical field.
G. H. Hardy *A Mathematician’s
Apology
Robin Hartshorne *Euclid
Julian Havil *Gamma. Exploring
Euler's constant.
Stephen Hawking and
Roger Penrose * The nature of Space and Time
J. L. Heilbron *Geometry Civilized
Werner Heisenberg *Physics and Philosophy *Physics and Beyond *Tradition in Science
Roger Herz-Fischler *The shape of the Great Pyramid. *A mathematical history of the golden number.
Hermann Hesse *Magister Ludi: the glass bead game
Peter Higgins *Curiosities and
strangenesses of the world of numbers
David Hilbert *Geometry and the
Imagination
Paul Hoffman *Archimedes'
revenge. The joys and perils of mathematics. *The man who loved only numbers.
The story of Paul Erdös and the search for mathematical truth.
Douglas Hofstadter * Godel Escher Bach *Fluid concepts and Creative Analogies *Metamagical Themas
Georges Ifrah *Universal History of Numbers *Universal
History of Computing
Ioan James *Remarkable mathematicians.
From Euler to von Neumann.
George Gheverghese Joseph *The Crest of the
Peacock: The Non-European Roots of Mathematics
Robert Kanigel *The Man who knew
infinity (Ramanujan)
Robert and Ellen Kaplan *The art of the infinite. The pleasures of
mathematics. *The nothing that is. A natural history of zero.
Jay Kappraff *Connections,
the geometric bridge between art and science (article)
Johannes Kepler
*Harmonice
Mundi, *The six-cornered snowflake
*Somnium *Astronomia
Nova *Epitome Astronomiae Copernicanae *Mysterium Cosmographicum
Morris Kline *Mathematical
thought from ancient to modern times * Mathematics and the physical world
*Mathematics and the search for knowledge
Stephan Korner *The philosophy of mathematics
George Lakoff *Where math comes from
Serge Lang *The beauty of doing
mathematics: Three public dialogues
LIFE Science
Library Mathematics
Miranda Lundy *Sacred Geometry:
Wooden books
Barry Mazur *Imagining numbers
(Particularly the Square Root of Minus Fifteen)
Karl Menninger *Number words and
number symbols
Philip Morrison and
Phylis Morrison *Powers of Ten
Lloyd Motz *Unfolding Universe:
A Stellar Journey *The Concepts of Science:
From Newton to Einstein *Story of Mathematics
James R. Newman *The World of
Mathematics (4 vols)
Robert Osserman *Poetry of the
Universe
Theoni Pappas *The Adventures of
Penrose - The Mathematical Cat *The Joy of Mathematics *The Music of Reason: Experience
the Beauty of Mathematics Through Quotations
Carolyn Parikh *The Unreal Life of
Oscar Zariski
Walter Pater *The Renaissance: studies in Art and
Poetry *Plato and Platonism
*Marius the Epicurean
Daniel Pedoe *Geometry and the
liberal arts *Circles. A mathematical view. *Japanese temple geometry problems.
San
gaku.
[Devotional mathematical tablets] *The gentle art of mathematics.
Roger Penrose *The large, the
small and the human mind. *Shadows of the mind. A search for the missing
science of
consciousness. *The emperor's new mind. Concerning
computers, minds, and the laws of physics.
Ivars Peterson *Mathematical treks.
From surreal numbers to magic circles. *Fragments of infinity. A kaleidoscope
of math and art. *The mathematical tourist. New and updated snapshots of modern
mathematics. * The jungles of randomness. A mathematical safari. *Islands of
truth. A mathematical mystery cruise.
Clifford Pickover *The mathematics of
Oz. Mental gymnastics from beyond the edge. *The zen of magic squares, circles,
and stars. An exhibition of surprising structures across dimensions. *Wonder of
numbers. Adventures in mathematics, mind, and meaning. *Surfing through
hyperspace. Understanding higher universes in six easy lessons. *The loom of
God. Mathematical tapestries at the edge of time.
Henri Poincare *Science and
Hypothesis
Albert Rothenberg *Symmetry in Art and
Science
Joe Rosen *Symmetry
discovered. Concepts and applications in nature and science.
Rudy Rucker *Infinity and the mind *Geometry, relativity and the fourth dimension
Karl Sabbagh *Riemann Hypothesis
Lionel Salem *The Most Beautiful Mathematical Formulas
Doris
Schattschneider *M.C. Escher: Visions of Symmetry
Arnold Schoenberg *The Musical Idea
and the Logic, Technique, and Art of Its Presentation *Arnold
Schoenberg-Wassily Kandinsky: Letters, Pictures and Documents *Style and Idea:
Selected Writings of Arnold Schoenberg
Erwin Schrodinger *Nature and the
Greeks *Science and the human temperament *What is life?
Charles Seife *Zero The Biography
of a Dangerous Idea.
Ben Shahn *The shape of contents
Leonard Shlain *Art and Physics: Parallel Visions in Space, Time, and Light *The Alphabet Versus the Goddess: The Conflict Between Word and Image
William Simon *Mathematical Magic
Simon Singh *The Code Book
*Fermat's enigma. The epic quest to solve the world's greatest mathematical
problem.
David Eugene Smith *The poetry of mathematics and other essays
C. P. Snow *The Two Cultures
*The Physicists
Alexei Sossinsky *Knots: mathematics
with a twist
Sherman Stein *Archimedes. What
did he do besides cry Eureka? *Algebra and tiling. Homomorphisms in the
service of
geometry.
Peter Stevens *Patterns in nature
Ian Stewart *Fearful Symmetry:
Is God a Geometer? *Problems of Mathematics *Does God play dice? * Flatterland: Like Flatland Only More
So *The Annotated Flatland: A Romance of Many Dimensions *What Shape Is a Snowflake?: Magical
Numbers in Nature *Figments of Reality: The Evolution of the Curious Mind *The
Magical Maze: Seeing the World Through Mathematical Eyes *Life's Other Secret: The New Mathematics
of the Living World *Nature's
Numbers: The Unreal Reality of Mathematical Imagination *From Here to Infinity
Tom Stoppard *Arcadia *Squaring
the Circle *Rosencrantz and Guildenstern are dead *Artist descending a
staircase
Lewis Thomas *Late night thoughts
on listening to Mahler’s ninth symphony
D’Arcy Thompson *On Growth and Form
Hermann Weyl *Symmetry *Mind and
Nature *Philosophy of mathematics and natural science
Sir E. Whittaker *From Euclid to
Eddington
A. Zee *Fearful Symmetry (The search for beauty in modern physics)
Films
(and others and more others)
Articles
Marston Morse: Mathematics and the Arts,
Wolfgang Krull: The aesthetic viewpoint in mathematics.
Yuri Manin: Mathematics as Metaphor
Barry Mazur (interview): Conjecture
Quotes and more
The essence of mathematics resides in its freedom --- Georg Cantor
Ordre . […] Je sais un peu ce que ce’est et combine peu de gens l’entendent. Nulle science humaine ne le peut garder. Saint Thomas ne l’a pas garde’. La mathematique le garde, mais elle est inutile en sa profounder. Pascal, Pensees.
The Mock Turtle replied: "and then the different branches of Arithmetic -Ambition, Distraction, Uglification, and Derision."
(Alice's Adventures in Wonderland, Lewis Caroll)
(November 2003)