Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

29 December 2016

Tullio Levi-Civita – mathematician

Professor from Padua who was admired by Einstein


Tullio Levi-Civita
Tullio Levi-Civita
Tullio Levi-Civita, the mathematician renowned for his work in differential calculus and relativity theory, died on this day in 1941 in Rome.

With the collaboration of Gregorio Ricci-Curbastro, his professor at the University of Padua, Levi-Civita wrote a pioneering work on the calculus of tensors. Albert Einstein is said to have used this work as a resource in the development of the theory of general relativity.

Levi-Civita corresponded with Einstein about his theory of relativity between 1915 and 1917 and the letters he received from Einstein, carefully kept by Levi-Civita, show how much the two men respected each other.

Years later, when asked what he liked best about Italy, Einstein is reputed to have said ‘spaghetti and Levi-Civita.’

The mathematician, who was born into an Italian Jewish family in Padua in 1873, became an instructor at the University of Padua in 1898 after completing his own studies.

He became a professor of rational mechanics there in 1902 and married one of his own students, Libera Trevisani, in 1914.

Albert Einstein: the German physicist held Levi-Civita in high regard
Albert Einstein: the German physicist
held Levi-Civita in high regard
In 1917, having been inspired by Einstein’s theory of general relativity, Levi-Civita made his most important contribution to this branch of mathematics, the introduction of the concept of parallel displacement in general curved spaces.

This concept immediately found many applications and in relativity is the basis of the unified representation of electromagnetic and gravitational fields. In pure mathematics his concept was instrumental in the development of modern differential geometry.

Levi-Civita also worked in the fields of hydrodynamics and engineering. He made great advances in the study of collisions in the three-body problem, which involves the motion of three bodies as they revolve around each other.

His books on these subjects became standard works for mathematicians and his collected works were published in four volumes in 1954.

Levi-Civita was invited by Einstein to visit him in Princeton in America and he lived there for a while in 1936, returning to Italy with war looming.

He was removed from his post at the University of Rome in 1938 by the Fascist regime because of his Jewish origins, having taught there since 1918.

Deprived of his professorship and his membership of all academic societies by the Fascists, Levi-Civita became isolated from the scientific world and in 1941 he died at his apartment in Rome, aged 68.

Travel tip:

The University of Padua, where Levi-Civita studied and later taught, was established in 1222 and is one of the oldest in the world, second in Italy only to the University of Bologna. The main university building, Palazzo del Bò in Via VIII Febbraio in the centre of Padua, used to house the medical faculty. You can take a guided tour to see the pulpit used by Galileo when he taught at the university between 1592 and 1610.

The Caffè  Pedrocchi is an historic meeting place for students and intellectuals in Padua
The Caffè  Pedrocchi is an historic meeting place
for students and intellectuals in Padua
Travel tip:

Right in the centre of Padua, the Caffè Pedrocchi has been a meeting place for business people, students, intellectuals and writers for nearly 200 years. Founded by coffee maker Antonio Pedrocchi in 1831, the caffè was designed in neoclassical style and each side is edged with Corinthian columns. It quickly became a centre for the Risorgimento movement and was popular with students and artists because of its location close to Palazzo del Bò, the main university building. It became known as the caffè without doors, as it was open day and night for people to read, play cards and debate. Caffè Pedrocchi is now a Padua institution and a must-see sight for visitors, who can enjoy coffee, drinks and snacks all day in the elegant surroundings.

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5 April 2016

Vincenzo Viviani – mathematician and scientist

Galileo follower's name lives on as moon crater


This portrait of Viviani is owned by Nice Art Gallery
Vincenzo Viviani
Forward-thinking scientist Vincenzo Viviani was born on this day in 1622 in Florence.

Viviani worked as an assistant to Galileo Galilei and after his mentor's death continued his experimental work in the field of mathematics and physics. This work was considered so important that Viviani has had a small crater on the moon named after him.

While at school in Florence, Viviani was given a scholarship to buy mathematical books by the Grand Duke Ferdinando II de' Medici. He later became a pupil of Evangelista Torricelli and worked with him on physics and geometry.

By the time he was 17 he was working as an assistant to Galileo Galilei. After Galileo’s death in 1642, Viviani edited the first edition of his teacher’s collected works.

Viviani was appointed to fill Torricelli’s position at the Accademia dell’Arte del Disegno in Florence after his death in 1647.

In 1660 Viviani conducted an experiment with another scientist, Giovanni Borelli, to determine the speed of sound by timing the difference between seeing the flash and hearing the noise of a cannon being fired from a distance.

As his reputation as a mathematician grew, Viviani started to receive job offers from abroad. As a result the Grand Duke offered him a post as court mathematician in order to keep him in Italy.

Viviani had published a book on engineering and had almost completed a major work on the resistance of solids when he died in Florence in 1703 at the age of 81.

Viviani decorated his home with an elaborate facade paying tribute to Galileo
The extraordinary façade of Vincenzo Viviani's former home
in Florence, with a bust of Galileo over the entrance
(Photo: Jebulon CC0 1.0)
Travel tip:

Palazzo dei Cartelloni, formerly known as Palazzo Viviani, in Via Sant’Antonino in Florence, has prominent inscriptions on the façade in Latin celebrating and glorifying the life and discoveries of Galileo Galilei. Viviani had these applied to the front of his home as a tribute to his mentor and there is also a bust of Galileo over the entrance. Today the building is owned by an American art institution.

Travel tip:

Galileo’s tomb in the Basilica of Santa Croce in Florence was not erected until 1737 when his remains were finally allowed a Christian burial. With the help of money left by Viviani in his will for a tomb for himself and Galileo, the scientist was reburied below a bust of himself by Giovanni Battista Foggini. Viviani’s own remains were transferred to the grave at the same time, according to his wishes.

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