Handbook of Topological Fixed Point Theory (2005)(en)(971s) by Robert F. Brown, Massimo Furi, L. Gorniewicz, Boju Jiang

By Robert F. Brown, Massimo Furi, L. Gorniewicz, Boju Jiang

This ebook is the 1st on the earth literature providing all new tendencies in topological fastened aspect conception. formerly all books hooked up to the topological fastened element conception have been dedicated purely to a few components of this idea. This e-book might be specifically precious for post-graduate scholars and researchers drawn to the fastened element conception, really in topological tools in nonlinear research, differential equations and dynamical structures. The content material can be prone to stimulate the curiosity of mathematical economists, inhabitants dynamics specialists in addition to theoretical physicists exploring the topological dynamics.

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Topology and Geometry: Rohlin Seminar by O. Ya Viro

By O. Ya Viro

This quantity is a set of papers devoted to the reminiscence of V. A. Rohlin (1919-1984) - a very good mathematician and the founding father of the Leningrad topological college. It contains survey and examine papers on topology of manifolds, topological points of the idea of complicated and genuine algebraic kinds, topology of projective configuration areas and areas of convex polytopes.

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Elements of Asymptotic Geometry (EMS Monographs in by Sergei Buyalo and Viktor Schroeder

By Sergei Buyalo and Viktor Schroeder

Asymptotic geometry is the research of metric areas from a wide scale perspective, the place the neighborhood geometry doesn't come into play. a tremendous type of version areas are the hyperbolic areas (in the experience of Gromov), for which the asymptotic geometry is well encoded within the boundary at infinity. within the first a part of this ebook, in analogy with the techniques of classical hyperbolic geometry, the authors offer a scientific account of the elemental idea of Gromov hyperbolic areas. those areas were studied largely within the final two decades and feature chanced on purposes in team concept, geometric topology, Kleinian teams, in addition to dynamics and stress concept. within the moment a part of the booklet, a number of elements of the asymptotic geometry of arbitrary metric areas are thought of. It seems that the boundary at infinity technique isn't really acceptable within the basic case, yet size thought proves valuable for locating fascinating effects and purposes. The textual content leads concisely to a few crucial facets of the speculation. every one bankruptcy concludes with a separate part containing supplementary effects and bibliographical notes. the following the idea can be illustrated with quite a few examples in addition to family to the neighboring fields of comparability geometry and geometric crew concept. The e-book is predicated on lectures the authors provided on the Steklov Institute in St. Petersburg and the collage of Z??rich. A ebook of the ecu Mathematical Society (EMS). dispensed in the Americas by way of the yankee Mathematical Society.

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Selecta. 2 Vols: Elementary, analytic and geometric number by Andrzej Schnizel

By Andrzej Schnizel

Andrzej Schinzel, born in 1937, is a number one quantity theorist whose paintings has had a long-lasting influence on sleek arithmetic. he's the writer of over two hundred study articles in numerous branches of arithmetics, together with basic, analytic, and algebraic quantity thought. He has additionally been, for almost forty years, the editor of Acta Arithmetica, the 1st overseas magazine dedicated solely to quantity idea. Selecta, a two-volume set, includes Schinzel's most vital articles released among 1955 and 2006. The association is by way of subject, with each one significant type brought through an expert's remark. a number of the hundred chosen papers take care of arithmetical and algebraic homes of polynomials in a single or numerous variables, yet there also are articles on Euler's totient functionality, the favourite topic of Schinzel's early study, on best numbers (including the well-known paper with Sierpinski at the speculation "H"), algebraic quantity thought, diophantine equations, analytical quantity thought and geometry of numbers. Selecta concludes with a few papers from outdoor quantity thought, in addition to an inventory of unsolved difficulties and unproved conjectures, taken from the paintings of Schinzel. A booklet of the eu Mathematical Society (EMS). allotted in the Americas through the yankee Mathematical Society.

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Fractals, random shapes, and point fields: methods of by Professor Dietrich Stoyan, Dr. Helga Stoyan

By Professor Dietrich Stoyan, Dr. Helga Stoyan

Partly I the reader is brought to the equipment of measuring the fractal measurement of abnormal geometric constructions. half II demonstrates vital sleek tools for the statistical research of random shapes. The statistical idea of element fields, with and with no marks, is brought partially III. all of the 3 sections concentrates at the mathematical principles, instead of precise proofs, and will be learn independently.

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