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Author: Jeanne N. Clelland
Publisher: American Mathematical Soc.
ISBN: 1470429527
Category : Mathematics
Languages : en
Pages : 433
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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
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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
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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.
Author: Frédéric Hélein
Publisher: Cambridge University Press
ISBN: 9780521811606
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Publisher Description
Author: José G. Vargas
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814566391
Category : Mathematics
Languages : en
Pages : 293
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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: E. A. Vander Veer
Publisher: "O'Reilly Media, Inc."
ISBN: 0596552513
Category : Computers
Languages : en
Pages : 464
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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: Guido Rizzi
Publisher: Springer Science & Business Media
ISBN: 9781402018053
Category : Science
Languages : en
Pages : 484
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Book Description
Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.
Author: Chris Grover
Publisher: "O'Reilly Media, Inc."
ISBN: 0596554273
Category : Computers
Languages : en
Pages : 755
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Book Description
Unlock the power of Flash and bring gorgeous animations to life onscreen. It's easy with Flash CS4: The Missing Manual. You'll start creating animations in the first chapter, and will learn to produce effective, well-planned visuals that get your message across. This entertaining new edition includes a complete primer on animation, a guided tour of the program's tools, lots of new illustrations, and more details on working with video. Beginners will learn to use the software in no time, and experienced Flash designers will improve their skills. Expanded and revised to cover the new version of Flash, every chapter in this book provides step-by-step tutorials to help you: Learn to draw objects, animate them, and integrate your own audio and video files Add interactivity, use special effects, learn morphing, and much more Check your work with the book's online example files and completed animations Discover new Flash toolkits and features such as Frameless Animation Use every timesaving aspect of Flash CS4, such as Library objects and Symbols Learn how to automate your drawings and animations with ActionScript 3.0 With this book, absolutely no programming is necessary to get started with Flash CS4. Flash CS4: The Missing Manual explains in jargon-free English exactly what you need to know to use Flash effectively, while avoiding common pitfalls, right from the start.
Author: Chris Grover
Publisher: "O'Reilly Media, Inc."
ISBN: 1449398251
Category : Computers
Languages : en
Pages : 865
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Book Description
A guide to Flash CS5 covers the basics of animation, ways to create movement between images, adding audio and video, creating reusable elements, and testing and publishing Web sites.
Author: Thomas M. Sipos
Publisher: McFarland
ISBN: 0786458348
Category : Performing Arts
Languages : en
Pages : 289
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Book Description
This richly informed study analyzes how various cinematic tools and techniques have been used to create horror on screen--the aesthetic elements, sometimes not consciously noticed, that help to unnerve, frighten, shock or entertain an audience. The first two chapters define the genre and describe the use of pragmatic aesthetics (when filmmakers put technical and budgetary compromises to artistic effect). Subsequent chapters cover mise-en-scene, framing, photography, lighting, editing and sound, and a final chapter is devoted to the aesthetic appeals of horror cinema. Instructors considering this book for use in a course may request an examination copy here.
Author: Deniz Gençağa
Publisher: MDPI
ISBN: 3038429198
Category : Mathematics
Languages : en
Pages : 335
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Book Description
This book is a printed edition of the Special Issue "Transfer Entropy" that was published in Entropy
