Foundations of Computational Mathematics, Budapest 2011

Foundations of Computational Mathematics, Budapest 2011 PDF Author: Society for the Foundation of Computational Mathematics
Publisher: Cambridge University Press
ISBN: 1107604079
Category : Computers
Languages : en
Pages : 249

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Book Description
A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.

Foundations of Computational Mathematics, Budapest 2011

Foundations of Computational Mathematics, Budapest 2011 PDF Author: Society for the Foundation of Computational Mathematics
Publisher: Cambridge University Press
ISBN: 1107604079
Category : Computers
Languages : en
Pages : 249

Get Book Here

Book Description
A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.

Regular and Irregular Holonomic D-Modules

Regular and Irregular Holonomic D-Modules PDF Author: Masaki Kashiwara
Publisher: Cambridge University Press
ISBN: 1316613453
Category : Mathematics
Languages : en
Pages : 119

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Book Description
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.

Asymptotic Analysis in General Relativity

Asymptotic Analysis in General Relativity PDF Author: Thierry Daudé
Publisher: Cambridge University Press
ISBN: 1108500781
Category : Science
Languages : en
Pages : 381

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Book Description
This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.

Evolution Equations

Evolution Equations PDF Author: Kaïs Ammari
Publisher: Cambridge University Press
ISBN: 1108412300
Category : Mathematics
Languages : en
Pages : 205

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Book Description
The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.

Topics in Graph Automorphisms and Reconstruction

Topics in Graph Automorphisms and Reconstruction PDF Author: Josef Lauri
Publisher: Cambridge University Press
ISBN: 1316610446
Category : Mathematics
Languages : en
Pages : 207

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Book Description
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball PDF Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 1107541484
Category : Mathematics
Languages : en
Pages : 243

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Book Description
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Geometry in a Fréchet Context

Geometry in a Fréchet Context PDF Author: C. T. J. Dodson
Publisher: Cambridge University Press
ISBN: 1316601951
Category : Mathematics
Languages : en
Pages : 315

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Book Description
A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

Random Walks and Heat Kernels on Graphs

Random Walks and Heat Kernels on Graphs PDF Author: Martin T. Barlow
Publisher: Cambridge University Press
ISBN: 1108124593
Category : Mathematics
Languages : en
Pages : 239

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Book Description
This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these transformations. Applications include the 'type problem': determining whether a graph is transient or recurrent. The final chapters show how geometric properties of the graph can be used to establish heat kernel bounds, that is, bounds on the transition probabilities of the random walk, and it is proved that Gaussian bounds hold for graphs that are roughly isometric to Euclidean space. Aimed at graduate students in mathematics, the book is also useful for researchers as a reference for results that are hard to find elsewhere.

Polynomials and the mod 2 Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra PDF Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108414486
Category : Mathematics
Languages : en
Pages : 371

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Book Description
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.

Polynomials and the mod 2 Steenrod Algebra

Polynomials and the mod 2 Steenrod Algebra PDF Author: Grant Walker (Mathematician)
Publisher: Cambridge University Press
ISBN: 1108414451
Category : Polynomials
Languages : en
Pages : 381

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Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.