Download e-book for iPad: Metric spaces, convexity and nonpositive curvature by Papadopoulos A.

By Papadopoulos A.

This ebook covers metric areas of nonpositive curvature within the feel of Busemann, that's, metric areas whose distance functionality satisfies a convexity situation. additionally contained is a scientific creation to the speculation of geodesics in addition to an in depth presentation of a few features of convexity idea, that are priceless within the examine of nonpositive curvature. options and methods mentioned within the quantity are illustrated through many examples from classical hyperbolic geometry and from the idea of Teichmüller areas. it really is important for graduate scholars and researchers in geometry, topology and research. disbursed in the Americas by way of the yankee Mathematical Society.

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International Mathematical Olympiads, 1986-1999 by Marcin E. Kuczma PDF

By Marcin E. Kuczma

The foreign Mathematical Olympiad pageant is held each year with the ultimate happening in a special state. the ultimate contains a day examination with the contestants being challenged to resolve 3 tricky difficulties on a daily basis. This ebook comprises the questions from the finals occurring among 1986 and 1999 inclusive. for every challenge the writer has integrated not less than one resolution and sometimes comments approximately substitute techniques and the importance of the matter. a number of the ideas are derived from solutions given by means of contestants instead of the organisers as those have been usually the main based options. This assortment could be of significant worth to scholars getting ready for the IMO and to all others who're attracted to challenge fixing in arithmetic.

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Get Mathematics under the Microscope PDF

By Alexandre V. Borovik

It truly is an strange publication which casts new and paradoxical gentle at the nature of arithmetic. The publication might be attention-grabbing -- possibly for various purposes -- to college lecturers of arithmetic and maths majors at universities, to graduate scholars in arithmetic and machine technology, to investigate mathematicians and desktop scientists, to philosophers and historians of arithmetic, to psychologists and neurophysiologists.

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