Category «Geometry And Topology»

Download E-books A Minicourse on Stochastic Partial Differential Equations (Lecture Notes in Mathematics) PDF

In could 2006, The collage of Utah hosted an NSF-funded minicourse on stochastic partial differential equations. The aim of this minicourse was once to introduce graduate scholars and up to date Ph.D.s to numerous sleek themes in stochastic PDEs, and to assemble a number of specialists whose learn is established at the interface among Gaussian research, stochastic research, and stochastic partial differential equations. This monograph comprises an up to date compilation of a lot of these lectures. specific emphasis is paid to showcasing primary rules and showing many of the many deep connections among the pointed out disciplines, forever maintaining a practical speed for the scholar of the subject.

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Download E-books Differential geometry and physics: proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 PDF

By Mo-Lin Ge, Weiping Zhang

This volumes presents a finished assessment of interactions among differential geometry and theoretical physics, contributed by way of many prime students in those fields. The contributions promise to play a massive function in selling the advancements in those intriguing parts. along with the plenary talks, the insurance comprises: versions and comparable subject matters in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot idea and similar subject matters; K-theory, together with index conception and non-commutative geometry; reflect symmetry, conformal and topological quantum box thought; improvement of integrable platforms; and random matrix conception.

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Download E-books General Topology II: Compactness, Homologies of General Spaces (Encyclopaedia of Mathematical Sciences , No 2) PDF

By A. Arhangel'Skii

This EMS quantity comprises self reliant components. the 1st includes a survey of effects with regards to the concept that of compactness as a rule topology. It highlights the function that compactness performs in lots of components of basic topology. the second one half is dedicated to homology and cohomology theories of normal areas. distinctive emphasis is put on the tactic of sheaf idea as a unified method of buildings of such theories. either authors succeeded in providing a wealth of fabric that's of curiosity to scholars and researchers within the quarter of topology. each one half illustrates deep connections among vital mathematical recommendations. either components mirror a undeniable new means of taking a look at recognized evidence by means of setting up fascinating relationships among really good effects belonging to assorted parts of arithmetic.

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Download E-books Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations (Publications of the Scuola Normale Superiore) PDF

By Giovanni Bellettini

The purpose of the e-book is to check a few points of geometric evolutions, reminiscent of suggest curvature circulate and anisotropic suggest curvature circulation of hypersurfaces. We research the foundation of such flows and their geometric and variational nature. essentially the most very important facets of suggest curvature stream are defined, corresponding to the comparability precept and its use within the definition of compatible susceptible suggestions. The anisotropic evolutions, which might be regarded as a generalization of suggest curvature circulation, are studied from the view element of Finsler geometry. pertaining to singular perturbations, we talk about the convergence of the Allen–Cahn (or Ginsburg–Landau) variety equations to (possibly anisotropic) suggest curvature circulate ahead of the onset of singularities within the restrict challenge. We learn such different types of asymptotic difficulties additionally within the static case, exhibiting convergence to prescribed curvature-type difficulties.

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Download E-books Topological Groups PDF

By L. S. Pontryagin

Providing the insights of L.S. Pontryagin, one of many optimum thinkers in smooth arithmetic, the second one quantity during this four-volume set examines the character and procedures that make up topological teams. Already hailed because the top paintings during this topic for its abundance of examples and its thorough factors, the textual content is prepared in order that readers can stick with the cloth both sequentially or schematically. Stand-alone chapters hide such subject matters as topological department jewelry, linear representations of compact topological teams, and the idea that of a lie team.

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