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Geometry --- Fractals --- Mathematical analysis --- Congresses --- Fractals - Congresses. --- Mathematical analysis - Congresses. --- Fractals - Congresses --- Mathematical analysis - Congresses

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In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called 'Nonstandard analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics.

Nonstandard mathematical analysis --- Congresses. --- Congresses --- Nonstandard mathematical analysis - Congresses

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Mathematical analysis --- Functions of complex variables --- Congresses. --- Report --- Congresses --- Functions of complex variables - Congresses --- Mathematical analysis - Congresses

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"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th 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 aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the second part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.

Functional analysis -- Congresses. --- Geometry -- Congresses. --- Mathematical analysis -- Congresses. --- Mathematics. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Geometry --- Functional analysis --- Mathematical analysis --- 517.1 Mathematical analysis --- Mathematics, general. --- Math --- Science

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Number theory --- Mathematical analysis --- Congresses. --- 51 --- -Number theory --- -Number study --- Numbers, Theory of --- Algebra --- Advanced calculus --- Analysis (Mathematics) --- Mathematics --- Congresses --- 517.1 Mathematical analysis --- 51 Mathematics --- -Mathematics --- -51 Mathematics --- Number study --- 517.1 --- Mathematical analysis - Congresses. --- Number theory - Congresses.