Games and Mathematics (46 page)

Read Games and Mathematics Online

Authors: David Wells

Nahin
,
P. J.
(
1988
/2002)
Oliver Heavyside: the Life, Work, and Times of an Electrical Genius of the Victorian Age
,
Johns Hopkins University Press
.
Nayakama
,
S.
(
1975
)
Japanese scientific thought: Mathematics
, in
Dictionary of Scientific Biography
,
Scribner
.
Neumann
, von,
J.
(
1947
) The mathematician, reprinted in Newman 1956, vol. 4.
Newman
,
J. R.
(
1956
)
The World of Mathematics
, 4 vols,
George Allen & Unwin
.
Newton
,
I.
(
1676
) Letter to H. Oldenburg, the Secretary of the Royal Society, October 24, 1676, reprinted in Struik 1990.
Newton
,
I.
(
1687
)
Principia Mathematica
.
Novcic
,
S. D.
(
1986
)
Sah i Matematika
,
Zavod za Udzbenike i Nastavna Sredstva
.
O’Connor
,
J. J.
&
Robertson
,
E. F.
(
2006
)
MacTutor History of Mathematics
;
www-history.mcs.st-andrews.ac.uk/∼history
.
Papert
,
S. A.
(
1988
)
The mathematical unconscious
, in
J.
Wechsler
, ed.,
On Aesthetics in Science
,
Birkhäuser
,
Boston, MA
.
Penrose
,
R.
(
1974
)
The role of aesthetics in pure and applied mathematical research
,
Bulletin of the Institute of Mathematics and its Applications
,
10
.
Piaggio
,
H. T. T.
(
1943
) writing in
Nature
, quoted in Nahin 1988/2002, p.
217
.
Pinn
,
K.
(
1998
) Order and chaos in Hofstadter's Q(n) sequence,
http://arxiv.org/abs.chao-dyn/9803012
.
Poincarè
,
H.
(
1956
)
Mathematical creation
, in
James R.
Newman
, ed.,
The World of Mathematics
,
Simon and Schuster
,
2041
–2050.
Poincaré
,
H.
(
1914
) trans. F. Maitland,
Science and Method
,
Dover
.
Polster
,
B.
(
2006
)
The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes
,
American Mathematical Society
.
Polya
,
G.
(
1954
)
Induction and Analogy in Mathematics
,
Princeton University Press
.
Potts
,
R.
(
1865
)
Euclid's Elements of Geometry, together with a Selection of Geometrical Exercises from the Senate-House and College Examination Papers
,
Longman, Green, Longman
,
Roberts & Green
.
Powell
,
A. B.
&
Frankenstein
,
M.
(eds.) (
1997
)
Ethnomathematics: Challenging Eurocentrism in Mathematics Education
,
State University of New York Press
.
Pritchard
,
C.
(ed.) (
2003
)
The Changing Shape of Geometry
,
Cambridge University Press
.
Probert
,
M.
(
1999
)
The Origin of String Figures
, website.lineone.net/∼m.p/sf/origin1.html.
Pullan
,
J. M.
(
1968
)
The History of the Abacus
,
Hutchinson
.
Rahner
,
H.
(
1972
)
Man at Play
,
Herder and Herder
.
Ravina
,
M.
(
1993
)
Wasan and the physics that wasn't: Mathematics in the Tokugawa period
,
Monumenta Nipponica
,
48–2
:
205
–224.
www.jstor.org/stable/2385528
.
Reed
,
N. B.
(
1998
)
More than just a Game: the Military Nature of Greek Athletic Contests
,
Ares Publishers
.
Restivo
,
S. P.
(
1992
)
Mathematics in Culture and Society: Sociological Inquiries
,
Kluwer
.
Rigaud
,
S. R.
(ed.) (
1841
)
Correspondence of Scientific Men of the Seventeenth Century
, […] printed from the originals in the collection of the Right Honourable the Earl of Macclesfield.
Robertson
,
J.
&
Webb
,
W.
(
1998
)
Cake-Cutting Algorithms
,
A K Peters
.
Rota
,
G.-C.
(
1993
)
The lost café
,
Contention
,
2–2
,
41
–61.
Rota
,
G.-C.
(
2006
) The pernicious influence of mathematics upon philosophy, in: Reuben Hersh, ed.,
18 Unconventional Essays on the Nature of Mathematics
, Birkhäuser.
Rothman
,
T.
(
1998
) Japanese temple geometry,
Scientific American
, May 1998.
Rotholer
,
B.
(
1999
)
Mehen, god of the boardgames
,
Board Games Studies
, vol. 2,
Leiden
.
Rothschild
, de,
P.
(
1968
)
The Irrational Journey
,
Hamish Hamilton
.
Rouse Ball
,
W. W.
(
1892
)
Mathematical Recreations and Problems of Past and Present Times
, (later editions were titled
Mathematical Recreations and Essays
)
Macmillan
.
Russell
,
B.
(
1903
)
Principles of Mathematics
, vol. 1,
Cambridge University Press
.
Russell
,
B.
(
1913
)
The philosophical importance of mathematical logic
,
The Monist
,
23
, 13–4,
481
–493.
Russell
,
B.
(
1956
)
Logic and Knowledge
,
George Allen & Unwin
.
Saunderson
,
N.
(
1740
)
Elements of Algebra
.
Schilpp
,
P. A.
(ed.) (
1951
)
Albert Einstein, Philosopher-Scientist
, in
The Library of Living Philosophers
, Open Court.
Schneider
,
W.
(
2001
)
Mathews, the Archive of Recreational Mathematics
, wschnei.de/number-theory.html.
Schroeder
,
M.
(
1991
)
Fractals, Chaos, Power Laws
,
W. H. Freeman
.
Segoe
,
K.
(
1960
)
Go Proverbs Illustrated
,
Nihon Kiin
,
Tokyo
.
Sloane
A004080:
Sloane's Online Encyclopedia of Integer Sequences
, sequence no. A004080.
Stevenson
,
G.
(
1961
)
Mathematical Methods for Science Students
,
Longman
.
Stewart
,
I.
(
1985
) Campaign for real mathematics,
New Scientist
,
1475
.
Stillwell
,
J.
(
1998
) Exceptional objects,
The American Mathematical Monthly
,
105
–9.
Struik
,
D. J.
(ed.) (
1990
)
A Source Book in Mathematics
,
Princeton University Press
.
Sylvester
,
J. J.
(
1869
)
The Collected Papers of James Joseph Sylvester
, vol. II,
Cambridge University Press
.

Other books

The New Neighbor by Stewart, Leah
Lovers & Liars by Joachim, Jean C.
I Am Morgan le Fay by Nancy Springer
Before the Moon Rises by Catherine Bybee
Gather My Horses by John D. Nesbitt
Dark Awakening by T. A. Grey
Forgive Me, Alex by Lane Diamond
Elysian Fields by Suzanne Johnson
Waves of Light by Naomi Kinsman