From Frenet to Cartan: The Method of Moving Frames PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download From Frenet to Cartan: The Method of Moving Frames PDF full book. Access full book title From Frenet to Cartan: The Method of Moving Frames by Jeanne N. Clelland. Download full books in PDF and EPUB format.
Author: Jeanne N. Clelland
Publisher: American Mathematical Soc.
ISBN: 1470429527
Category : Mathematics
Languages : en
Pages : 433
Get Book Here
Book Description
The method of moving frames originated in the early nineteenth century with the notion of the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the study of surfaces. The method was brought to its full power in the early twentieth century by Elie Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. The main focus is on the use of this method to compute local geometric invariants for curves and surfaces in various 3-dimensional homogeneous spaces, including Euclidean, Minkowski, equi-affine, and projective spaces. Later chapters include applications to several classical problems in differential geometry, as well as an introduction to the nonhomogeneous case via moving frames on Riemannian manifolds. The book is written in a reader-friendly style, building on already familiar concepts from curves and surfaces in Euclidean space. A special feature of this book is the inclusion of detailed guidance regarding the use of the computer algebra system Maple™ to perform many of the computations involved in the exercises.
Author: Jeanne N. Clelland
Publisher: American Mathematical Soc.
ISBN: 1470429527
Category : Mathematics
Languages : en
Pages : 433
Get Book Here
Book Description
The method of moving frames originated in the early nineteenth century with the notion of the Frenet frame along a curve in Euclidean space. Later, Darboux expanded this idea to the study of surfaces. The method was brought to its full power in the early twentieth century by Elie Cartan, and its development continues today with the work of Fels, Olver, and others. This book is an introduction to the method of moving frames as developed by Cartan, at a level suitable for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. The main focus is on the use of this method to compute local geometric invariants for curves and surfaces in various 3-dimensional homogeneous spaces, including Euclidean, Minkowski, equi-affine, and projective spaces. Later chapters include applications to several classical problems in differential geometry, as well as an introduction to the nonhomogeneous case via moving frames on Riemannian manifolds. The book is written in a reader-friendly style, building on already familiar concepts from curves and surfaces in Euclidean space. A special feature of this book is the inclusion of detailed guidance regarding the use of the computer algebra system Maple™ to perform many of the computations involved in the exercises.
Author: Thomas Andrew Ivey
Publisher: American Mathematical Soc.
ISBN: 0821833758
Category : Mathematics
Languages : en
Pages : 394
Get Book Here
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.
Author: Frédéric Hélein
Publisher: Cambridge University Press
ISBN: 9780521811606
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
Publisher Description
Author: E. A. Vander Veer
Publisher: "O'Reilly Media, Inc."
ISBN: 0596552513
Category : Computers
Languages : en
Pages : 464
Get Book Here
Book Description
Macromedia's Flash 8 is the world's premier program for adding animation to websites. And with the latest version, this popular program becomes more versatile, letting beginning webmasters and expert developers alike create sophisticated web content. But Flash isn't intuitive. And it doesn't come with a manual. Whether you want to learn the basics or unleash the program's true power, Flash 8: The Missing Manual is the ideal instructor. This hands-on guide to today's hottest web design tool is aimed at nondevelopers, and it teaches you how to translate your ideas into great web content. It begins with a solid primer on animation, which helps you get comfortable with the Flash interface. Once you have these basics under your belt, Flash 8: The Missing Manual moves on to advanced animations, including adding special effects and audio, video, and interactivity to your presentations. When you're really feeling steady, the book shows how to use a dollop of ActionScript to customize your content. It then teaches you how to publish your Flash creations for web surfers everywhere to enjoy. Along the way, the book shows you good design principles and helps you avoid elements that can distract or annoy an audience. Author Emily Vander Veer has more than a dozen books to her credit, including titles on web design and scripting--most written for non-technical readers. Her background makes her the perfect author for a straightforward book on a complex subject. She takes Flash 8: The Missing Manual from the basics to the advanced, yet avoids a hasty jump into tough topics that can leave readers confused. Not only will Flash 8: The Missing Manual help you turn a concept into unique, dynamic content, but it will continue to serve as a reference as you develop your website.
Author: José G. Vargas
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814566391
Category : Mathematics
Languages : en
Pages : 293
Get Book Here
Book Description
I. Introduction. 1. Orientations -- II. Tools. 2. Differential forms -- 3. Vector spaces and tensor products -- 4. Exterior differentiation -- III. Two Klein geometries. 5. Affine Klein geometry -- 6. Euclidean Klein geometry -- IV. Cartan connections. 7. Generalized geometry made simple -- 8. Affine connections -- 9. Euclidean connections -- 10. Riemannian spaces and pseudo-spaces -- V. The future? 11. Extensions of Cartan -- 12. Understand the past to imagine the future -- 13. A book of farewells
Author: Chris Grover
Publisher: "O'Reilly Media, Inc."
ISBN: 144939373X
Category : Computers
Languages : en
Pages : 779
Get Book Here
Book Description
Once you know how to use Flash, you can create everything from simple animations to high-end desktop applications, but it's a complex tool that can be difficult to master on your own-unless you have this Missing Manual. This book will help you learn all you need to know about Flash CS5 to create animations that bring your ideas to life. Learn animation basics. Find everything you need to know to get started with Flash Master the Flash tools. Learn the animation and effects toolset, with clear explanations and hands-on examples Use 3D effects. Rotate and put objects in motion in three dimensions Create lifelike motion. Use the IK Bones tool to simulate realistic body movements and other linked motions Speed up development. Use templates, code snippets, and motion presets Design applications. Get an intro to building full desktop applications with Flash and Adobe AIR Create rich interactive animations. Dive into advanced interactivity with easy-to-learn ActionScript examples
Author: Sherry Petersik
Publisher: Artisan
ISBN: 1579656765
Category : House & Home
Languages : en
Pages : 337
Get Book Here
Book Description
This New York Times bestselling book is filled with hundreds of fun, deceptively simple, budget-friendly ideas for sprucing up your home. With two home renovations under their (tool) belts and millions of hits per month on their blog YoungHouseLove.com, Sherry and John Petersik are home-improvement enthusiasts primed to pass on a slew of projects, tricks, and techniques to do-it-yourselfers of all levels. Packed with 243 tips and ideas—both classic and unexpected—and more than 400 photographs and illustrations, this is a book that readers will return to again and again for the creative projects and easy-to-follow instructions in the relatable voice the Petersiks are known for. Learn to trick out a thrift-store mirror, spice up plain old roller shades, "hack" your Ikea table to create three distinct looks, and so much more.
Author: Chris Grover
Publisher: "O'Reilly Media, Inc."
ISBN: 1449330487
Category : Computers
Languages : en
Pages : 851
Get Book Here
Book Description
You can build everything from simple animations to full-fledged iPhone, iPad, and Android apps with Flash CS6, but learning this complex program can be difficult—unless you have this fully updated, bestselling guide. Learn how to create gorgeous Flash effects even if you have no programming experience. With Flash CS6: The Missing Manual, you’ll move from the basics to power-user tools with ease. The important stuff you need to know: Learn animation basics. Turn simple ideas into stunning animations—in the very first chapter. Master Flash’s tools. Learn the animation and effects tools with clear explanations and hands-on examples. Use 3D effects. Rotate objects and make them move in three dimensions. Create lifelike motion. Use the IK Bones tool to simulate realistic body movements and other linked motions. Build apps that work anywhere. Create apps just for iOS or Android devices—or one app that works on mobile devices and desktops. Add multimedia. Incorporate your own audio and video files into Flash. Create rich interactive animations. Dive into advanced interactivity with easy-to-learn ActionScript examples.
Author: Laura Mulvey
Publisher: Reaktion Books
ISBN: 9781861892638
Category : Performing Arts
Languages : en
Pages : 220
Get Book Here
Book Description
A fascinating exploration of the role new media technologies play in our experience of film.
Author: Peter J. Olver
Publisher: Cambridge University Press
ISBN: 9780521558211
Category : Mathematics
Languages : en
Pages : 308
Get Book Here
Book Description
The book is a self-contained introduction to the results and methods in classical invariant theory.
