domingo, 21 de setembro de 2014

Os selos Philamat - temas

1.    Mathematics: a philatelic history
2.    Ten mathematical formulas . . .
3.    Counting on the fingers
4.    Ancient mathematics
5.    Egypt, Mesopotamia and Greece
6.    Egyptian pyramids
7.    Egyptian mathematics    
8.    Mesopotamian mathematics
9.    Thales and Pythagoras
10.    The Pythagorean theorem   
11.    Athens 400 BC
12.    Plato’s Academy   
13.    Alexandria 300 BC - AD 415
14.    Euclid of Alexandria
15.    Archimedes   
16.    Greek astronomy   
17.    China
18.    Chinese mathematics   
19.    India   
20.    Mayans and Incas   
21.    Ancient games
22.    Chess
23.    The game of Go
24.    Islamic scientists
25.    Al-Khwarizmi
26.    Alhazen and Omar Khayyam
27.    Nasir al-Din al-Tusi
28.    Islamic Europe   
29.    Samarkand: al-Kashani and Ulugh Beg
30.    Early European scholars
31.    Fibonacci     of Pisa
32.    The growth of learning   
33.    The invention of printing
34.    Perspective
35.    Albrecht Dürer
36.    Portuguese navigation   
37.    The age of exploration   
38.    Globes
39.    Map-making   
40.    Pedro Nunes
41.    Navigational instruments
42.    Quadrants, sextants and octants
43.    Nicolaus Copernicus
44.    Tycho Brahe
45.    Johannes Kepler
46.    Galileo Galilei
47.    Reforming the calendar
48.    The low countries
49.    Logarithms
50.    Early calculating devices   
51.    China and Japan
52.    René Descartes
53.    Mersenne and Fermat
54.    Blaise Pascal
55.    Isaac Newton
56.    Newton’s gravitation
57.    Halley’s comet
58.    Leibniz and Bernoulli
59.    Leonhard Euler
60.    The shape of the earth
61.    Longitude
62.    The New World   
63.    Developments in France
64.    The French Revolution   
65.    The Ecole Polytechnique
66.    Carl Friedrich Gauss
67.    New geometries
68.    Abel and Galois
69.    William Rowan Hamilton
70.    Russia
71.    Eastern Europe
72.    Statistics
73.    Mathematical physics
74.    The nature of light
75.    Albert Einstein
76.    Quantum theory
77.    The turn of the century
78.    The 20th century
79.    Fractal geometry
80.    Pioneers of computing   
81.    The development of computing
82.    Bletchley Park codebreakers
83.    Computer art and graphics
84.    International Congresses (ICM)
85.    ICM 2014, Seoul, South Korea
86.    Fields medallists
87.    World Mathematical Year 2000
88.    Mathematics in nature
89.    Mathematics in art
90.    Op art
91.    The geometry of space
92.    Mathematical recreations
93.    Mathematics education
94.    Metrication   
95.    Triangular stamps
96.    Polygons
97.    Circles and ellipses
98.    Stamping through mathematics

sexta-feira, 12 de setembro de 2014

Stamping through Mathematics


Further information about these and other mathematical stamps can be found in Robin J. Wilson’s book Stamping through Mathematics (Springer, New York, 2001) or in his Stamp Corners in The Mathematical Intelligencer.

Círculos e elipses



[France 1998, 1999; Isle of Man 1997, Singapore 1997; Sierra Leone 1969; Tonga 1969]

Polígonos



[Indonesia 1997; Malaysia 1970; Malta 1968; Monaco 1955; Netherlands 1993; Pakistan 1976; Pitcairn Islands 1999; Thessaly 1898]

Selos triangulares



[Austria 1916; Colombia 1869; Ghana 1965; Malaysia 1966; Pakistan 1962]

Sistema métrico



 [Australia 1973; Brazil 1962; Ghana 1976; Pakistan 1974; Romania 1966]

Educação matemática



 [British Virgin Islands 1996; Guinea-Bissau 1980; Maldive Islands 1970; Portugal 2009; Russia 1961; St Lucia 1990; Swaziland 1984]

Passatempos matemáticos



[Hungary 1982; Monaco 1976; Netherlands 1973; Sweden 1985]

A geometria do espaço



[Austria 1981; Brazil 1953; Germany 1997; Great Britain 2001; Sweden 1982; Switzerland 1974; USA 1998, 2004]



Arte ótica



[Switzerland 2010]

Pintura do século XX



[France 1976, 1977; Great Britain 1999; Hungary 1979; Liberia 1997]

Matemática na natureza



[Bulgaria 1970; Germany 1968; Great Britain 1989; Hungary 1969; Luxembourg 1973; Switzerland 1961] 



Ano Mundial da Matemática 2000



 [Belgium 2000; Croatia 2000; Italy 2000; Korea 2000; Luxembourg 2000; Monaco 2000; Spain 2000]

Medalhas Fields


[Republic of Guinea 2008]

ICM 2014, Seul, Coreia do Sul


[Korea 2014]

Congressos Internacionais (ICM)



[Finland 1878; Germany 1998; Japan 1990; Russia 1966; Spain 2006]

Arte Computacional e gráficos


In recent years computer-aided design has also developed rapidly, and in 1970 the Netherlands produced the first set of computer-generated stamp designs. The stamps show an isometric projection in which the circles at the centres of the faces gradually expand and become transformed into squares; the black-and-white design was called overlapping scales.
The computer drawing of a head is a graphic from the 1981 computer-animated film Dilemma, and the United States stamp came from a set celebrating the new millennium.  
[Hungary 1988; Netherlands 1970; USA 2000]

Decifrar em Bletchley Park



[Great Britain 2012; Poland 1983; St Helena 2005]

quinta-feira, 11 de setembro de 2014

O desenvolvimento da computação



[Bosnia and Herzegovina 2001; Ivory Coast 1972; Japan 1980; Marshall Islands 1999; Norway 1969; Switzerland 1970; Thailand 1997]

Pioneiros da computação



[France 1934; Great Britain 1991, 2010; Hungary 1992; Malagasy Republic 1990; Marshall Islands 2000; St Vincent 2000]

Geometria fractal



[Israel 1997; Macau 2005]



O século XX


[China 1999; Czech Republic 1993; Greece 1994; Netherlands 2007; Poland 1982]

A viragem do século



 [Congo 2001; East Germany 1981; France 1952; India 1962, 1972]

quarta-feira, 10 de setembro de 2014

Teoria quântica



[Austria 1987; Denmark 1985; France 1994; Germany 2001; Guyana 1995; Sweden 1982]



Albert Einstein



  [Gibraltar 1998; Italy 1979; Monaco 1979; Nicaragua 1971; Togo 1979]

A natureza da luz



[Germany 1979, 1994; Netherlands 1929; Nicaragua 1971; Portugal 1974; San Marino 1991; Sweden 1978]

Física matemática



[East Germany 1975; France 1958, 1994; Germany 1979, 1984, 1994; Nicaragua 1994]



Estatisticas



[Australia 1974; Belgium 1974; British Virgin Islands 1983; Israel 1962; Norway 1976]



Europa ocidental




[Croatia 1943; Czechoslovakia 1981, 1987; Romania 1945; Yugoslavia 1987]



Russia



[Russia 1933, 1946, 1951, 1957, 1963, 1996]



William Rowan Hamilton



[Ireland 1943, 1983, 1985, 2005]

Abel e Galois



[France 1984; Norway 1929, 1983, 2002]

Novas geometrias


[Brazil 1967; Hungary 1960, 2002; Russia 1951]

Carl Friedrich Gauss


Carl Friedrich Gauss (1777–1855) lived in Göttingen and worked in many areas, ranging from complex numbers (numbers of the form a + bi, where i2 = –1) to astronomy and electricity. He gave the first satisfactory proof that every polynomial equation has a complex root, and in number theory he initiated the study of congruences and proved the law of quadratic reciprocity.
 Gauss also investigated which regular polygons can be constructed with ruler and compasses, proving that a regular n-gon can be so constructed when n is a power of 2 times a product of different Fermat primes of the form 2k + 1 (where k is a power of 2) such as 17 (as shown on the East German stamp) or 65,537.  
[East Germany 1977; Germany 1955, 1977; Nicaragua 1994]

A Ecole Polytechnique


[France 1954, 1955, 1958, 1989, 1994]

Revolução Francesa



[France 1972, 1989, 1990; St Helena 1971]

Desenvolvimentos em França



[France 1949, 1966, 1959; Wallis and Futuna Islands 1984]

terça-feira, 9 de setembro de 2014

O Novo Mundo




[Great Britain 1976; Micronesia 1993; USA 1956, 1979, 1980]

Longitude



[Ascension 1971, 1979; Great Britain 1993]

A forma da Terra


[Ecuador 1936; Finland 1986; France 1986; Spain 1974]

Leonhard Euler



[East Germany 1950, 1983; Korea 2014; Russia 1957; Switzerland 1957, 2007]

Leibniz e Bernoulli



[Albania 1996; Germany 1966, 1980, 1996; St Vincent 1991; Switzerland 1994]

Cometa Halley



[Ascension 1986; Great Britain 1986; Montserrat 1986; St Helena 1977, 1986]

Gravitaçãoo de Newton



[Great Britain 1987; Grenada 1987; Monaco 1987; Nicaragua 1971; North Korea 1993]

Isaac Newton



 [Dubai 1971; North Korea 1993; Russia 1987]

Blaise Pascal



[France 1944, 1962; Korea 2014; Monaco 1973]

Mersenne e Fermat



[Czech Republic 2000; France 2001; Liechtenstein 2004]

René Descartes



 [Albania 1996; France 1937; Monaco 1996]

China e Japão



[China–Taiwan 1983; Italy 2002; Japan 1987, 1992]