Moving Frames
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From Frenet To Cartan The Method Of Moving Frames
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Author : Jeanne N. Clelland
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-03-29
From Frenet To Cartan The Method Of Moving Frames written by Jeanne N. Clelland and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-29 with Mathematics categories.
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.
Moving Frames
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Author : Carrie Collenberg-González
language : en
Publisher: Berghahn Books
Release Date : 2022-02-14
Moving Frames written by Carrie Collenberg-González and has been published by Berghahn Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-14 with History categories.
Introduction. Photographs as rupture and affect in German film / Carrie Collenberg-González and Martin P. Sheehan -- Layers of exposure : the photographic approach in Gerhart Lamprecht's Zille film, Slums of Berlin (1925) / Jason Doerre -- Objecting objects : photographs and subjectivity in The blue angel (1930) / Martin P. Sheehan -- Before- and afterlives : on the stillness of photographs at the outset of Adenauer cinema / John Davidson -- Filming after Walker Evans : Wim Wenders' "American pictures" in Kings of the road (1976) / Stefanie Harris -- The transgression of overpainting : Jürgen Böttcher's radical experiments with intermediality in Transformations (1981) / Matthew Bauman -- The promise of agency : photographs and value in Tattoo (2002) / Cynthia Porter -- Curating the image : visual intertextuality in The Baader Meinhof Complex (2008) / Reinhard Zachau -- Re-presenting German heritage films : photographic memory in Aimee & Jaguar (1999), Good bye Lenin! (2003), and Almanya-Welcome to Germany (2011) / Carrie Collenberg-Gonzalez -- Imaging the "good life" : destabilizing subjecthood and conceptions of the normative family in Ghosts (2005) / Simone Pfleger -- Violence, death, and photographs : capturing the (un)dead in Rammbock (2010) / Melissa Etzler -- Possible archives : encountering a surveillance photo in Karl Marx City (2016) / Anke Pinkert -- Afterword. Toward a camera ludica : agency and photography in Videogame ecologies / Curtis L. Maughan.
Differential Geometry For Physicists And Mathematicians Moving Frames And Differential Forms From Euclid Past Riemann
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Author : Jose G Vargas
language : en
Publisher: World Scientific
Release Date : 2014-03-06
Differential Geometry For Physicists And Mathematicians Moving Frames And Differential Forms From Euclid Past Riemann written by Jose G Vargas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Mathematics categories.
This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story being told — that does not impede sophistication and deep results.It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.
Cartan For Beginners
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Author : Thomas Andrew Ivey
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Cartan For Beginners written by Thomas Andrew Ivey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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.
The Velocity Of Light In Uniformly Moving Frames
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Author : Frank Robert Tangherlini
language : en
Publisher:
Release Date : 1958
The Velocity Of Light In Uniformly Moving Frames written by Frank Robert Tangherlini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
The Mechanics Of Lorentz Transformations
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-10-04
The Mechanics Of Lorentz Transformations written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-04 with Science categories.
The subject of this book is the mechanics of Lorentz transformations which is commonly investigated under the title of special relativity theory. The motive for setting the subject of investigation as Lorentz transformations instead of special relativity is objectivity. However, we also investigate special relativity thoroughly as a possible interpretation of the mechanics of Lorentz transformations. The book originates from a collection of personal notes and tutorials about topics and applications related to modern physics and tensor calculus. The book includes many solved problems as well as extensive sets of exercises whose solutions are available in another book. The book also contains a number of high quality graphic illustrations. A rather thorough index is also added to the book to enable keyword search and provide a useful list for the main technical terms of this subject. Cross referencing is used extensively where these cross references are hyperlinked in the digital versions. The book can be used as a guiding text or as a reference for a first course on the mechanics of Lorentz transformations or as part of a course on modern physics or tensor calculus or even special relativity.
Horror Film Aesthetics
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Author : Thomas M. Sipos
language : en
Publisher: McFarland
Release Date : 2014-01-10
Horror Film Aesthetics written by Thomas M. Sipos and has been published by McFarland this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-10 with Performing Arts categories.
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.
Classical Mechanics
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Author : RAO, K. SANKARA
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2005-01-01
Classical Mechanics written by RAO, K. SANKARA and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Science categories.
The knowledge of classical mechanics is vital for understanding advanced technologies in several areas such as automation, industrial process control, and aerospace. The present text is an outcome of the author's long experience in teaching this subject to postgraduate students and his work as a scientist in the area of satellite/rocket motion at Vikram Sarabhai Space Centre. The basic concepts and principles of mechanics are explained in clear, simple terms and illustrated through several examples. Keeping student accessibility in mind, the book is written in an expository manner aimed at conveying a deep and coherent understanding of the dynamics of a system of particles, kinematics of a rigid body motion, dynamics of a rigid body in space, and orbital motion. This is followed by the description of Lagrange and Hamilton methods and the special theory of relativity. New topics such as rocket dynamics along with vehicle optimization and three-body and n-body problems are also presented for the benefit of those students who wish to pursue advanced study in celestial/space mechanics. Solved examples and exercises reinforce conceptual understanding and highlight application of principles to real-world problems. Multiple-choice questions are modelled on examination pattern of various Indian universities, GATE and other competitive examinations. The book is well suited for postgraduate students of mathematics, physics, and engineering, particularly those studying aerospace, civil and mechanical engineering. Scientists and engineers engaged in the design of multi-stage rockets and study of orbits of satellites would also find the book a useful, compact source of reference.
Specifications And Drawings Of Patents Issued From The United States Patent Office
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Author : United States. Patent Office
language : en
Publisher:
Release Date : 1900
Specifications And Drawings Of Patents Issued From The United States Patent Office written by United States. Patent Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Patents categories.
Flash Cs4 The Missing Manual
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Author : Chris Grover
language : en
Publisher: "O'Reilly Media, Inc."
Release Date : 2008-11-25
Flash Cs4 The Missing Manual written by Chris Grover and has been published by "O'Reilly Media, Inc." this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-25 with Computers categories.
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.