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Annales Mathématiques Blaise Pascal

Annales Mathématiques Blaise Pascal PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 300

Book Description


Annales Mathématiques Blaise Pascal

Annales Mathématiques Blaise Pascal PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 300

Book Description


Singular Problems in Shell Theory

Singular Problems in Shell Theory PDF Author: Evariste Sanchez-Palencia
Publisher: Springer Science & Business Media
ISBN: 3642138152
Category : Science
Languages : en
Pages : 272

Book Description
This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.

Functional Analysis and Summability

Functional Analysis and Summability PDF Author: P.N. Natarajan
Publisher: CRC Press
ISBN: 1000191478
Category : Mathematics
Languages : en
Pages : 220

Book Description
There are excellent books on both functional analysis and summability. Most of them are very terse. In Functional Analysis and Summability, the author makes a sincere attempt for a gentle introduction of these topics to students. In the functional analysis component of the book, the Hahn–Banach theorem, Banach–Steinhaus theorem (or uniform boundedness principle), the open mapping theorem, the closed graph theorem, and the Riesz representation theorem are highlighted. In the summability component of the book, the Silverman–Toeplitz theorem, Schur’s theorem, the Steinhaus theorem, and the Steinhaus-type theorems are proved. The utility of functional analytic tools like the uniform boundedness principle to prove some results in summability theory is also pointed out. Features A gentle introduction of the topics to the students is attempted. Basic results of functional analysis and summability theory and their applications are highlighted. Many examples are provided in the text. Each chapter ends with useful exercises. This book will be useful to postgraduate students, pre-research level students, and research scholars in mathematics. Students of physics and engineering will also find this book useful since topics in the book also have applications in related areas.

Banach Algebras Of Ultrametric Functions

Banach Algebras Of Ultrametric Functions PDF Author: Alain Escassut
Publisher: World Scientific
ISBN: 9811251673
Category : Mathematics
Languages : en
Pages : 323

Book Description
This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner-Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.

Evolution Equations and Their Applications in Physical and Life Sciences

Evolution Equations and Their Applications in Physical and Life Sciences PDF Author: G Lumer
Publisher: CRC Press
ISBN: 1482277484
Category : Medical
Languages : en
Pages : 532

Book Description
This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica

P-Adic Functional Analysis

P-Adic Functional Analysis PDF Author: A.K. Katsaras
Publisher: CRC Press
ISBN: 9780203908143
Category : Mathematics
Languages : en
Pages : 340

Book Description
This volume collects together lectures presented at the Sixth International Conference held at the University of Ioannina, Greece, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. It discusses the commutation relation AB-BA=I and its central role in quantum mechanics.

Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School

Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School PDF Author: Alexander Cardona
Publisher: World Scientific
ISBN: 9814730890
Category : Mathematics
Languages : en
Pages : 385

Book Description
Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.

Books and Periodicals Online

Books and Periodicals Online PDF Author:
Publisher:
ISBN:
Category : Business
Languages : en
Pages : 1788

Book Description


Geometric and Topological Methods for Quantum Field Theory

Geometric and Topological Methods for Quantum Field Theory PDF Author: Hernan Ocampo
Publisher: Springer Science & Business Media
ISBN: 9783540242833
Category : Science
Languages : en
Pages : 256

Book Description
This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Curves and Surfaces

Curves and Surfaces PDF Author: Jean-Daniel Boissonnat
Publisher: Springer
ISBN: 3319228048
Category : Computers
Languages : en
Pages : 502

Book Description
This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Curves and Surfaces, held in Paris, France, in June 2014. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 32 revised full papers presented were carefully reviewed and selected from 39 submissions. The scope of the conference was on following topics: approximation theory, computer-aided geometric design, computer graphics and visualization, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, mesh generation, finite elements and splines, scattered data processing and learning theory, sparse and high-dimensional approximation, subdivision, wavelets and multi-resolution method.