Tagged: matemática

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Poema para Galileu

A Queda Livre – Galileu Descreve o Movimento
Parte 6 de 6 da série A mecânica de Galileu

Poema para Galileu

 

 

 

Diz a minha mãe que eu comecei a fazer versos aos 5 anos e aos 10 tive a comoção de ver os primeiros impressos e públicos.
Escrever poemas foi sempre para mim um estado de angústia, um sofrimento autêntico. Amorteci todo esse sofrimento durante anos até ao dia em que por motivos dolorosos me desfiz dele por completo na ingénua presunção de que me atrapalhava. Sobre isso

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Soluções dos Desafios

A Queda Livre – Galileu Descreve o Movimento
Parte 5 de 6 da série A mecânica de Galileu

Soluções dos Desafios

 

Desafio 1

Houve muitos trabalhos que antecederam o de Galileu, no que diz respeito ao movimento. No período de 1280 a 1340, matemáticos de Merton College, em Oxford, meditaram cuidadosamente sobre diversas grandezas que variavam com o tempo. Um teorema geral, conhecido por “Teorema de Merton” ou “Regra da Velocidade Média”, resume um resultado que se mostrou de grande importância.

Este teorema, … Ler mais

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Galileu descreve o movimento

A Queda Livre – Galileu Descreve o Movimento
Parte 4 de 6 da série A mecânica de Galileu

Galileu descreve o movimento

Galileu e o seu tempo

Óleo sobre tela por Justus Sustermans. Pintado em 1636 e oferecido por Galileu a um amigo em Paris. Mais tarde fez parte da coleção de Ferdimnado II de Medici; na Galeria degli Uffizi, Firenze, desde 1678.

Galileu Galilei nasceu em Pisa em 1564 – o ano da morte de Miguel Ângelo e do nascimento de Shakespeare. Filho de um nobre … Ler mais

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A teoria aristotélica do movimento

A Queda Livre – Galileu Descreve o Movimento
Parte 3 de 6 da série A mecânica de Galileu

A teoria aristotélica do movimento

O modelo de Universo de Ptolomeu era essencialmente o aristotélico, ou seja, um cosmo finito, constituído de esferas concêntricas, com a Terra imóvel no centro. A atmosfera chegaria até a altura da Lua, definindo o espaço do mundo “sublunar”, constituído por quatro elementos, Terra, Água, Fogo e Ar. A partir da esfera da Lua, no mundo “supralunar”, constituído de um “quinto elemento”, o Éter, haveria … Ler mais

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O Museu Galileu

A Queda Livre – Galileu Descreve o Movimento
Parte 2 de 6 da série A mecânica de Galileu

Museu Galileu – Instituto e Museu da História da Ciência

O prédio que abriga o museu é o Palazzo Castellani, que surgiu na região do Castello d’Altafronte – datado de finais do século XI, era a fortaleza que protegia o porto fluvial no Arno e fazia parte da cerca antiga das muralhas de Florença. Está localizado entre a ponte Vecchio e a Piazza della Signoria.

O Museu da História … Ler mais

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Introdução à mecânica de Galileu

A Queda Livre – Galileu Descreve o Movimento
Parte 1 de 6 da série A mecânica de Galileu

Abordaremos o desenvolvimento de um importante exemplo de investigação básica: o estudo dos corpos em queda livre feito por Galileu Galilei. Embora o problema físico da queda livre seja por si só interessante, o estudo será orientado para a maneira como Galileu, um dos primeiros cientistas modernos, apresentou os seus argumentos. A sua perspetiva do mundo, a sua maneira de pensar, o seu uso da matemática e a sua … Ler mais

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Beautiful Young Minds

Documentary following a group of brilliant teenagers as they fight to become the chosen six to represent the UK at the International Mathematical Olympiad

As part of the Kidult season, this documentary tells the story of some of the brightest mathematical brains of a generation. Each year, exceptionally gifted teenagers from over 90 countries compete for medals at the International Mathematical Olympiad. The film follows a group of brilliant teenagers as they battle it out to become the chosen six selected to represent the UK.

Many youngsters see maths as an ordeal, but for these teenagers it’s a passion they are completely devoted … Ler mais

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Bletchley Park: Code-breaking’s Forgotten Genius

Documentary looking at Gordon Welchman, a codebreaker crucial to the allies defeating the Nazis in World War II

Gordon Welchman was one of the original elite codebreakers crucial to the allies defeating the Nazis in World War II. He is the forgotten genius of Bletchley Park.

Filmed extensively at Bletchley Park, the centre for codebreaking operations during World War II, this documentary features the abandoned buildings where thousands of people worked tirelessly trying to crack the codes; Hut 6, where Welchman pioneered his groundbreaking work; and the machines that Welchman helped design.

Post-war, Welchman moved … Ler mais

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Code-Breakers: Bletchley Park’s Lost Heroes

Documentary revealing the secret story of how two men hacked into Hitler's personal super-code machine

Documentary that reveals the secret story behind one of the greatest intellectual feats of World War II, a feat that gave birth to the digital age. In 1943, a 24-year-old maths student and a GPO engineer combined to hack into Hitler’s personal super-code machine – not Enigma but an even tougher system, which he called his ‘secrets writer’.

Their break turned the Battle of Kursk, powered the D-day landings and orchestrated the end of the conflict in Europe. … Ler mais

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Cosmic Eye

A state-of-the-art view of the Universe

Cosmic Eye is a short film and iOS app, developed by astrophysicist Danail Obreschkow. It shows the largest and smallest well known scales of the universe by gradually zooming out from and then back into the face of a young lady called “Louise”. According to the developer, the film and app were inspired by the essay Cosmic View (1957) and the short films Cosmic Zoom (1968) and Powers of Ten (1977), but use state-of-the-art know-how and new scientific … Ler mais

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Cosmic Voyage

Offers a state of the art, computer generated journey through the universe, and tries to pinpoint the role of human beings cohabitating within its vastness

Cosmic Voyage is a 1996 short documentary film produced in the IMAX format, directed by Bayley Silleck, produced by Jeffrey Marvin, and narrated by Morgan Freeman. The film was presented by the Smithsonian Institution‘s National Air and Space Museum, and played in IMAX theaters worldwide. The film is available in the DVD format.

Cosmic Voyage has a format similar to Eva Szasz’s Cosmic Zoom, and Charles and Ray Eames‘s classic Powers of Ten educational … Ler mais

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Cosmic Zoom

This short animation transports us from the farthest conceivable point of the universe to the tiniest particle of existence, an atom of a living human cell

Cosmic Zoom is a 1968 short film directed by Eva Szasz and produced by the National Film Board of Canada. It depicts the relative size of everything in the universe in an 8-minute sequence using animation and animation camera shots.

The film starts with an aerial image of a boy rowing with his dog in a boat on the Ottawa River. The movement then freezes and the view slowly zooms out, revealing more of the landscape all the … Ler mais

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Cosmic View: The Universe in 40 Jumps

This unique book takes you on a graphic journey through the universe, to the edge of infinity in one direction and to the nucleus of the atom in the other

Cosmic View: The Universe in 40 Jumps is a 1957 book by Dutch educator Kees Boeke that combines writing and graphics to explore many levels of size and structure, from the astronomically vast to the atomically tiny. The book begins with a photograph of a Dutch girl sitting outside a school and holding a cat. The text backs up from the original photo, with graphics that include more and more of the vast reaches of space in which the girl … Ler mais

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Horizon: The Age of Big Data

Horizon tests the limits of the data revolution, crime prediction in LA, financial formulas in the city of London and a South African attempt to catalogue the entire cosmos

In Los Angeles, a remarkable experiment is underway; the police are trying to predict crime, before it even happens.

At the heart of the city of London, one trader believes that he has found the secret of making billions with maths. In South Africa, astronomers are attempting to catalogue the entire cosmos. These very different worlds are united by one thing – an extraordinary explosion in data.

Horizon meets the people at the forefront of the data revolution and reveals … Ler mais

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Trillion Dollar Bet

The film tells the fascinating story of the invention of the Black-Scholes Formula, a mathematical Holy Grail that forever altered the world of finance and earned its creators the 1997 Nobel Prize in Economics

In 1973, three brilliant economists, Fischer Black, Myron Scholes, and Robert Merton, discovered a mathematical Holy Grail that revolutionized modern finance. The elegant formula they unleashed upon the world was sparse and deceptively simple, yet it led to the creation of a multi-trillion dollar industry. Their bold ideas earned Scholes and Merton a Nobel Prize (Black died before the prize was awarded) and attracted the elite of Wall Street.

In 1993, Scholes and Merton joined forces … Ler mais

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Horizon: The Midas Formula

A beautiful mathematical formula that changed the world

This is the extraordinary story of a beautiful mathematical formula that changed the world, the financial markets, and indeed capitalism itself. It could do the unthinkable – it took the risk out of playing the money-markets. To its inventors it brought the Nobel Prize for economics. To those who used it, it brought great wealth. But this glittering tale would end in tragedy.

The Black Scholes formula was invented 25 years ago, by three young mathematicians. They had been … Ler mais