Imagine Math 3: Between Culture and Mathematics

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Life & Science Communicator

The goal was to decide on the shape of the Earth flattened at the poles or at the equator. Pekonen became so involved that he himself impersonated, on stage and in a film, the character of Maupertuis.

Music and mathematics have been connected since antiquity. So no wonder there is a part about this involvement. It is illustrated how algebra, topology, category theory, chaos theory, prime numbers, palindromes, etc.

Imagine Math 3. Between Culture and Mathematics

In the part about applications, we learn that analysis of big data can lead to prediction of earthquakes or crimes. It is used as a pretext to mention similar such cases of paradoxical results. There is a paper that shows how computer analysis helped to reconstruct a parametrized virtual version of the Arch of Titus 1st-century CE using some stones found at the archaeological site of the Circus Maximus in Rome.

The mathematical analysis of soap bubbles clusters is another example of semi-applied mathematics.

On a more linguistic level we find an interesting contribution discussing the fact that the formal language of mathematics is only used among mathematicians, and hence is not used by the common people. Even the relatively elementary mathematics of antiquity was essentially for an elite.

Common people did not have or were not able to read books. And yet, occasionally, some of the mathematics or mathematical terminology has entered common social language not only today but also in previous centuries. Part 5 about visual mathematics, could also be part of the set of applied mathematics papers. The three contributions here deal with design problems: how design students express the concept of "balance" in their projects, how a numerical model is derived from visual information that can be used to simulate the heart function, and a third paper is on the design of gears, with not only the traditional circular ones but also the elliptic and polygonal ones, some nautilus shapes, and even amusingly weird ones.

Mathematics and art is of course an obligatory part in this kind of books. One paper is about non-convex star-like 2D and 3D mathematical objects throughout history.

Another describes the role of the pentagram in the art of the Dutch sculptor Gerard Caris. This is quite interesting since it may remove the biased public opinion about a mathematician as a weird and unworldly individual. Mathematics and physics is the title of the penultimate part. Topology and physics in fluid dynamics has some historical roots the dichotomy between continuous and discrete , but that is of course also of major importance for quantum mechanics.

So these two fluid dynamics and quantum theory are the two somewhat related topics of this part. The last part is about mathematics and physics. There is a paper showing how Luca Pacioli — was influenced by the work of Euclid and another one is computing the dimensions of the heaven, the hell and the purgatory as described in the Divina Comedia of Dante.

Imagine Math 3 Between Culture And Mathematics 2015

And finally the work of the Scottish science writer Mary Sommerville is discussed. This brief survey should convincingly illustrate that mathematics has deep roots into our culture. Poetry is not the thing said but a way of saying it. A linguistic approach integrated with a mathematical type of procedure has become increasingly important over the last decades, ultimately arriving at being projected onto other areas of thought, communication and creativity.

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In both of these works what at one time was viewed as two opposite approaches — one scientific, the other humanistic — were instead set face-to-face in order to discover the affinities that would make them appear to be synergistic. Computers and poetry seem two apparently distant topics, however poets are fascinated by the tool they often use for writing their own poems, either in terms of pure tool or for the underlying principles that animate it.

In the above scene from my novel The Wild Numbers , the year-old mathematician Isaac Swift believes he has found a solution to the famous Wild Number Problem and is showing it to his older colleague, the Russian mathematician Dimitri Arkanov. But what exactly is the Wild Number Problem, and why did I choose it as the theme for my novel, rather than some other mathematical problem?

The total pessimism pervading the pages of The Book of Disquiet does not spare even science. According to Fernando Pessoa, human life has no meaning at all and thus every attempt of knowledge is just a play at dusk , as crazy as wishing that the clouds would stand still in the sky.

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If mathematics is spared from this absolute decree, it is only because it deals with nothing. Many and variegated are the relationships between mathematics and literature; it should be no surprise that two expression of the human spirit exhibit analogies and contact points. There is a concept, an idea I want to propose and to illustrate. I call it the mathematical mind. What do I mean by this? I think that the essence of cinema is defined by the rhythm with which the images follow one another and, as a rational and Cartesian thinker, I consider number to be the basis of everything, of art and of nature.

The rhythm of film editing of Film no. I used this method, which I have always used in my painting. The teaching of mathematics, knowledge of mathematics, knowledge of the sciences are some of the parameters used to evaluate the ability of a country to improve its capacity for production and creativity.

The spread of scientific knowledge, and especially of mathematics, is an essential factor. Obviously these include China, India and Korea. Hence the importance of teaching, and of mathematics teaching. Without Abstract. In an old-fashioned Normandy country home, Guillaume, a badly behaved young boy, refuses to do his Math homework until it surprisingly takes shape and becomes an old man supported by a chorus of numbers. Every artwork starts with the simple action of drawing a line.

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Straight, curved or mixed, the line has always been, for me, a source of fascination, because the magic of the line reflects an imprint that has layers of hidden meanings beyond the simple act of drawing. In this chapter, I assess the hypothesis that the world is a computing device. According to this hypothesis, programs or algorithms running on this device generate the numerical values of physical parameters, including the empirical data sets that we collect in the course of observations and measurements in science.

I shall argue that this hypothesis entails a testable prediction, namely that empirical data sets form algorithmically compressible strings. The discovery of empirical data sets that are algorithmically incompressible would therefore refute the hypothesis.

I shall argue that we already have good evidence that some empirical data sets are algorithmically incompressible, from which I conclude that we can rule out that the world is a computing device. From his early youth Mauri was in close contact with writers and intellectuals with whom he shared ties of friendship and collaboration. His early years were marked by events of the war and Fascism, which he experienced in part through psychic crises, religious experiences and an intense social commitment.

In the three decades — he worked for the publisher Bompiani, directing its Roman headquarters from Availing himself of media that went from writing to sculpture, from installations to performance, he addressed the theme of communication and its manipulation in terms that were sociological and ideological. Here is a look at some of his best known works, finally arriving to the installation entitled I numeri malefici Evil Numbers. This paper describes the mathematical background, in particular it illustrates both the analysis of the painting which was carried out by the two of us and the choice of the mathematical techniques applied to compute the parameters needed for the composition, which is due to the author.

In a way, the analysis and simulation of atmospheric models is a paradigm of largescale scientific computing problems. First, it deals with a system in which relatively simple physical mechanisms are combined to produce a complex behaviour.

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