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Book
Framing global mathematics : the International Mathematical Union between theorems and politics
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ISBN: 3030956830 3030956822 Year: 2022 Publisher: Cham Springer Nature

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Abstract

This open access book is about the shaping of international relations in mathematics over the last two hundred years. It focusses on institutions and organizations that were created to frame the international dimension of mathematical research. Today, striking evidence of globalized mathematics is provided by countless international meetings and the worldwide repository ArXiv. The text follows the sinuous path that was taken to reach this state, from the long nineteenth century, through the two wars, to the present day. International cooperation in mathematics was well established by 1900, centered in Europe.


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Celestial encounters : the origins of chaos and stability
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ISBN: 0691221839 Year: 1996 Publisher: Princeton, New Jersey : Princeton University Press,

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Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.


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Prime Suspects : The Anatomy of Integers and Permutations
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ISBN: 0691188734 Year: 2019 Publisher: Princeton, NJ : Princeton University Press,

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An outrageous graphic novel that investigates key concepts in mathematicsIntegers and permutations-two of the most basic mathematical objects-are born of different fields and analyzed with different techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body.Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics.Travel with Detective von Neumann as he leaves no clue unturned, from shepherds' huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the pain as you work with our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all.Beautifully drawn and wittily and exquisitely detailed, Prime Suspects is unique, astonishing, and outrageous-a once-in-a-lifetime opportunity to experience mathematics like never before.

Keywords

Mathematics --- Math --- Science --- Accuracy and precision. --- Alan Turing. --- Alexander Grothendieck. --- Analytic number theory. --- Anatoly Vershik. --- Arithmetic. --- Atle Selberg. --- Ben Green (mathematician). --- Bernhard Riemann. --- Bessel function. --- Big O notation. --- Binary logarithm. --- Bryna Kra. --- Calculation. --- Child prodigy. --- Coefficient. --- Comic book. --- Conjecture. --- Coprime integers. --- Cryptography. --- David Hilbert. --- Diagram (category theory). --- Diophantine geometry. --- Diophantus. --- Disquisitiones Arithmeticae. --- Emil Artin. --- Emmy Noether. --- Enrico Bombieri. --- Erica Klarreich. --- Felix Klein. --- Fermat's Last Theorem. --- Fields Medal. --- Friedrich Bessel. --- Fundamental theorem of arithmetic. --- Gamma function. --- Gauss sum. --- Gelfand. --- Grigori Perelman. --- Henri Cartan. --- Hermann Weyl. --- Hilbert's tenth problem. --- Integer. --- Jean-Pierre Serre. --- Joint probability distribution. --- Julia Robinson. --- Keith Devlin. --- Klaus Roth. --- Kloosterman sum. --- Language of mathematics. --- Logarithm. --- Log-log plot. --- Manjul Bhargava. --- Maryam Mirzakhani. --- Mathematical problem. --- Mathematical sciences. --- Mathematician. --- Mathematics. --- Men of Mathematics. --- Millennium Prize Problems. --- Modular form. --- Monic polynomial. --- Multiplication table. --- Natural logarithm. --- Natural number. --- Nicolas Bourbaki. --- Normal distribution. --- Number theory. --- Occam's razor. --- Oswald Veblen. --- Parity (mathematics). --- Permutation. --- Persi Diaconis. --- Peter Gustav Lejeune Dirichlet. --- Peter Scholze. --- Pierre Deligne. --- Pierre Samuel. --- Plus-minus sign. --- Poisson distribution. --- Polynomial. --- Prime factor. --- Prime number. --- Prime power. --- Probability theory. --- Proportionality (mathematics). --- Pure mathematics. --- Random permutation. --- Richard Dedekind. --- Riemann hypothesis. --- Riemann surface. --- Riemann zeta function. --- Robin Hartshorne. --- Saunders Mac Lane. --- Serge Lang. --- Shinichi Mochizuki. --- Siegel zero. --- Sieve theory. --- Sophie Germain. --- Stirling numbers of the first kind. --- Summation. --- Variable (mathematics).

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