Titlebook: Visions in Mathematics; GAFA 2000 Special Vo N. Alon,J. Bourgain,V. Milman Book 2010 Birkh?user Basel 2010 Mathematica.algebra.combinatoric

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Universality, Phase Transitions and Statistical Mechanics,us on the principle of universality which asserts that singularities associated with second order phase transitions are universal. This means that they do not depend on the details of the model. Hence, although the temperature at which a phase transition occurs is typically model dependent, the macr

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How Classical Physics Helps Mathematics,th and eighteenth centuries the relations were quite cordial. Mathematics supplied the tools for the solution of physical problems, and in its turn, the necessity to develop proper tools was a very strong factor in stimulating progress in mathematics itself. The problem of the brachistochrone, which

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Addendum: Discussions at the Dead Sea,mathematical ideas and thoughts. However, the organizers decided to try such a format on this occasion, and we think it developed into a very interesting exchange of opinions especially towards the end of the conference. Only the first four discussions are presented below because they were directed

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Book 2010h to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas...The a

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978-3-0346-0424-6Birkh?user Basel 2010

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