Web Theory and Related Topics

Web Theory and Related Topics PDF Author: J. Grifone
Publisher: World Scientific
ISBN: 9789812794581
Category : Mathematics
Languages : en
Pages : 252

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Book Description
This book provides an overview of recent developments in web theory. Webs (i.e. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry, etc.) and physics (mechanics, geometrical optics, etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory. Contents: A Na-ve Guide to Web Geometry (I Nakai); An Introduction to Web Geometry: Analytic Web Geometry (A H(r)naut); Webs and Curvature (P T Nagy); Recent Developments: Conformal Flows on ?,0 and Hexagonal 3-Webs (M Belliart et al.); Rigidity of Webs (J-P Dufour); Resonant Geometric Optics and Webs (J-L Joly et al.); Introduction to G -Structures via Three Examples (J M Landsberg); Web Geometry and the Equivalence Problem of the First Order Partial Differential Equations (I Nakai); Veronese Webs and Transversally Veronese Foliations (M-H Rigal); A Three-Dimensional Lagrangian Four-Web with No Abelian Relation (G F Robert). Readership: Researchers and graduate students in mathematics and physics."

Web Theory and Related Topics

Web Theory and Related Topics PDF Author: J. Grifone
Publisher: World Scientific
ISBN: 9789812794581
Category : Mathematics
Languages : en
Pages : 252

Get Book Here

Book Description
This book provides an overview of recent developments in web theory. Webs (i.e. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry, etc.) and physics (mechanics, geometrical optics, etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory. Contents: A Na-ve Guide to Web Geometry (I Nakai); An Introduction to Web Geometry: Analytic Web Geometry (A H(r)naut); Webs and Curvature (P T Nagy); Recent Developments: Conformal Flows on ?,0 and Hexagonal 3-Webs (M Belliart et al.); Rigidity of Webs (J-P Dufour); Resonant Geometric Optics and Webs (J-L Joly et al.); Introduction to G -Structures via Three Examples (J M Landsberg); Web Geometry and the Equivalence Problem of the First Order Partial Differential Equations (I Nakai); Veronese Webs and Transversally Veronese Foliations (M-H Rigal); A Three-Dimensional Lagrangian Four-Web with No Abelian Relation (G F Robert). Readership: Researchers and graduate students in mathematics and physics."

Web Theory

Web Theory PDF Author: Robert Burnett
Publisher: Routledge
ISBN: 1134556810
Category : Social Science
Languages : en
Pages : 253

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Book Description
Web Theory is a comprehensive and critical introduction to the theories of the internet and the world wide web. Robert Burnett and P. David Marshall examine the key debates which surround internet culture, from issues of globalisation, political economy and regulation, to ideas about communication, identity and aesthetics. Web Theory explore the shifts in society, culture and the media which have been brought about by the growth of the world wide web. It identifies significant readings, web sites and hypertext archive sources which illustrate the critical discussion about the internet and it mediates these discussions, indicating key positions within each debate and pointing the reader to key texts. Web Theory includes: *Chapters showing how specific media have been affected by the internet *Boxed case studies and examples *References, an extensive bibliography and a list of web sites *A glossary of key terms with important words highlighted in the text *A Web Theory timeline which details important events *A comprehensive and regularly updated website at www.webtheory.nu with inks and support material

Web Theory And Related Topics

Web Theory And Related Topics PDF Author: Joseph Grifone
Publisher: World Scientific
ISBN: 9814491152
Category : Mathematics
Languages : en
Pages : 244

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Book Description
This book provides an overview of recent developments in web theory. Webs (i.e. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry, etc.) and physics (mechanics, geometrical optics, etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory.

Homotopy Type Theory: Univalent Foundations of Mathematics

Homotopy Type Theory: Univalent Foundations of Mathematics PDF Author:
Publisher: Univalent Foundations
ISBN:
Category :
Languages : en
Pages : 484

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Book Description


Function Spaces, Interpolation Theory and Related Topics

Function Spaces, Interpolation Theory and Related Topics PDF Author: Michael Cwikel
Publisher: Walter de Gruyter
ISBN: 3110198053
Category : Mathematics
Languages : en
Pages : 473

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Book Description
This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.

Value Distribution Theory and Related Topics

Value Distribution Theory and Related Topics PDF Author: Grigor A. Barsegian
Publisher: Springer Science & Business Media
ISBN: 1402079516
Category : Mathematics
Languages : en
Pages : 331

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Book Description
The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a similar reasoning has been applied to algebroid functions, subharmonic functions and meromorphic functions on Riemann surfaces as well as to - alytic functions of several complex variables, holomorphic and meromorphic mappings and to the theory of minimal surfaces. Moreover, several appli- tions of the theory have been exploited, including complex differential and functional equations, complex dynamics and Diophantine equations. The main emphasis of this collection is to direct attention to a number of recently developed novel ideas and generalizations that relate to the - velopment of value distribution theory and its applications. In particular, we mean a recent theory that replaces the conventional consideration of counting within a disc by an analysis of their geometric locations. Another such example is presented by the generalizations of the second main theorem to higher dimensional cases by using the jet theory. Moreover, s- ilar ideas apparently may be applied to several related areas as well, such as to partial differential equations and to differential geometry. Indeed, most of these applications go back to the problem of analyzing zeros of certain complex or real functions, meaning in fact to investigate level sets or level surfaces.

Topics in Cyclic Theory

Topics in Cyclic Theory PDF Author: Daniel G. Quillen
Publisher: Cambridge University Press
ISBN: 1108479618
Category : Mathematics
Languages : en
Pages : 331

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Book Description
This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

Sojourns in Probability Theory and Statistical Physics - I

Sojourns in Probability Theory and Statistical Physics - I PDF Author: Vladas Sidoravicius
Publisher: Springer Nature
ISBN: 9811502943
Category : Mathematics
Languages : en
Pages : 338

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Book Description
Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Building an Intelligent Web: Theory and Practice

Building an Intelligent Web: Theory and Practice PDF Author: Pawan Lingras
Publisher: Jones & Bartlett Publishers
ISBN: 1449663222
Category : Computers
Languages : en
Pages : 340

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Book Description
The World Wide Web has become an extremely popular way of publishing and distributing electronic resources. Though the Web is rich with information, collecting and making sense of this data is difficult because it is rather unorganized. Building an Intelligent Web introduces students and professionals to the state-of-the art development of Web Intelligence techniques and teaches how to apply these techniques to develop the next generation of intelligent Web sites. Each chapter contains theoretical bases, which are also illustrated with the help of simple numeric examples, followed by practical implementation. Students will find Building an Intelligent Web to be an active and exciting introduction to advanced Web mining topics. Topics covered include Web Intelligence, Information Retrieval, Semantic Web, Classification and Association Rules, SQL, Database Theory, Applications to e-commerce and Bioinformatics, Clustering, Modeling Web Topology, and much more!

Geometry and Topology of Caustics -- Caustics ...

Geometry and Topology of Caustics -- Caustics ... PDF Author:
Publisher:
ISBN:
Category : Caustics (Optics)
Languages : en
Pages : 238

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Book Description