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Web Theory and Related Topics

Author : J. Grifone

Publisher : World Scientific

Page : 244 pages

File Size : 32,87 MB

Release : 2001

Category : Mathematics

ISBN : 9810246048

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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.



Web Theory

Author : Robert Burnett

Publisher : Routledge

Page : 253 pages

File Size : 24,25 MB

Release : 2004-02-24

Category : Social Science

ISBN : 1134556810

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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



Representation Theory of Lie Groups

Author : M. F. Atiyah

Publisher : Cambridge University Press

Page : 349 pages

File Size : 16,50 MB

Release : 1979

Category : Mathematics

ISBN : 0521226368

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Book Description

In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to non-specialists.



Cartan for Beginners

Author : Thomas A. Ivey

Publisher : American Mathematical Soc.

Page : 474 pages

File Size : 28,71 MB

Release : 2016-12-15

Category : Mathematics

ISBN : 1470409860

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Book Description

Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.



Cartan for Beginners

Author : Thomas Andrew Ivey

Publisher : American Mathematical Soc.

Page : 394 pages

File Size : 23,27 MB

Release : 2003

Category : Mathematics

ISBN : 0821833758

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Book Description

This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.



Web Words That Work

Author : Michael R. Miller

Publisher : Que Publishing

Page : 452 pages

File Size : 33,49 MB

Release : 2012-12-27

Category : Business & Economics

ISBN : 0133354091

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Book Description

Write great search-optimized, customer-optimized web copy! (No experience? No problem!) Need to put together a website? Or post to your company’s Facebook page? Or write a great Google AdWords ad? You know it’s important. Your image is at stake. Maybe a lot ofmoney, too. But you’re not a professional web copywriter. Where do you start? Right here. Million-selling author Michael Miller will teach you, show you, guide you–even if you’ve never done it before! Think you can’t write? Hate to write? Forget school: Here are all the professional-quality online copywriting tips and tricks you need right now. Miller will help you find your voice, organize your message, use links, get great search results, and a whole lot more. Best of all, you’ll learn how to grab hold of people in seconds–because that’s all the time you’ve got! • The perfect web copywriting guide for every entrepreneur, small businessperson, blogger, and website owner • Keep it short, keep it simple! • Think like your readers, fire them up, and get them to act! • Write text that search engines and humans will both love • Be absolutely clear! Squeeze all the confusion out of your content • Make sure you know just enough grammar and punctuation • Combine text and visuals to make them both work better • Choose the right delivery formats • Integrate your copy into an existing web page design • Work well with web designers and developers Detailed, expert guidance for writing: • Web pages • Online articles • Blog posts • Social media updates • Web ads • Email promos & newsletters • Online press releases • Online help & FAQs • Smartphone & tablet content • Web interfaces Michael Miller has written 100+ non-fiction books, including The Ultimate Web Marketing Guide; B2B Digital Marketing; Using Google® AdWords and AdSense; Using Google® Search; The Complete Idiot’s Guide to Search Engine Optimization; Sams Teach Yourself Google Analytics in 10 Minutes; and Facebook for Grown-Ups. Miller’s books have sold more than one million copies worldwide. He has earned a reputation for clearly explaining technical subjects to non-technical readers, and offering exceptionally useful real-world advice on complex topics.



Foliation Theory in Algebraic Geometry

Author : Paolo Cascini

Publisher : Springer

Page : 223 pages

File Size : 49,82 MB

Release : 2016-03-30

Category : Mathematics

ISBN : 3319244604

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Book Description

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study./div



An Invitation to Web Geometry

Author : Jorge Vitório Pereira

Publisher : Springer

Page : 229 pages

File Size : 19,18 MB

Release : 2015-02-23

Category : Mathematics

ISBN : 3319145622

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Book Description

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.



Information Systems Development

Author : George Angelos Papadopoulos

Publisher : Springer Science & Business Media

Page : 964 pages

File Size : 45,34 MB

Release : 2009-09-23

Category : Computers

ISBN : 038784810X

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Book Description

This volume constitutes the published proceedings of the 17th International Conference on Information Systems Development. They present the latest and greatest concepts, approaches, and techniques of systems development - a notoriously transitional field.



Writing for the Internet

Author : Craig Baehr

Publisher : Bloomsbury Publishing USA

Page : 241 pages

File Size : 21,26 MB

Release : 2009-11-12

Category : Business & Economics

ISBN : 0313376956

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Book Description

This book is a landmark guide full of practical examples and sound advice for communicating online concisely and effectively. Intended for students—and everyone else who writes for online media—Writing for the Internet: A Guide to Real Communication in Virtual Space is a landmark collection of grounded and practical applications about writing effectively and concisely. It covers just about everything one needs to know about a broad array of topics including online publishing, new media news writing, blogging, micro-blogging, Internet writing technologies, and social media/ownership. At the same time, it addresses theories, methods, and practices used by Internet writers and online journalists from a wide range of backgrounds. The book introduces students who will be writing online—and this includes all disciplines of every possible major—to the basic tenets of good online writing habits and principles. It will help bloggers hone their thoughts and express them in writing that works in real-time media. And it will help those who wish to take advantage of the extraordinary profit-making potential the Internet represents.