[Télécharger] Introduction to Tensor Analysis and the Calculus of Moving Surfaces Livres, Ebook

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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Description Introduction to Tensor Analysis and the Calculus of Moving Surfaces. This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20<sup>th</sup> century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.

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Introduction to Tensor Analysis and the Calculus of Moving ~ Introduction to Tensor Analysis and the Calculus of Moving Surfaces a été l'un des livres de populer sur 2016. Il contient 302 pages et disponible sur format . Ce livre a été très surpris en raison de sa note rating et a obtenu environ avis des utilisateurs. Donc, après avoir terminé la lecture de ce livre, je recommande aux lecteurs de .

Introduction to Tensor Analysis and the Calculus of Moving ~ Introduction to Tensor Analysis and the Calculus of Moving Surfaces 123. Pavel Grinfeld Department of Mathematics Drexel University Philadelphia, PA, USA ISBN 978-1-4614-7866-9 ISBN 978-1-4614-7867-6 (eBook) DOI 10.1007/978-1-4614-7867-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013947474 Mathematics Subject Classiﬁcations (2010): 4901, 11C20, 15A69 .

Introduction to Tensor Analysis and the Calculus of Moving ~ Télécharger Introduction to Tensor Analysis and the Calculus of Moving Surfaces PDF Livre - Introduction to Tensor Analysis and the Calculus of Moving Surfaces a été écrit par Pavel Grinfeld qui connu comme un auteur et ont écrit beaucoup de livres intéressants avec une grande narration. Introduction to Tensor Analysis and the Calculus of Moving Surfaces a été l'un des livres de .

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Introduction to Tensor Analysis and the Calculus of Moving ~ Tensor calculus is a powerful tool that combines the geometric and analytical perspectives and enables us to take full advantage of the computational utility of coordinate systems. The tensor approach can be of benefit to members of all technical sciences including mathematics and all engineering disciplines. If calculus and linear algebra are central to the reader’s scientific endeavors .

Introduction to Tensor Analysis and the Calculus of Moving ~ This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its

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Introduction to Tensor Analysis and the Calculus of Moving ~ I tried learning tensor analysis from the above two categories but, for the most part, failed, i.e., learned the rules of moving indices around but had no real idea as to what I was actually doing. This brings me to Pavel Grinfeld's "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" book, which is simply the best. Currently .

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Introduction to Tensor Analysis and the Calculus of Moving ~ To be honest, i have been following advice from students to use a well known video sharing website and searching it with 'Tensor Calculus' and 'Tensor Analysis' and watching them explain in the form of a video streaming lecture which is helpful as it mutually re enforces these areas present in both online and book study. This study style took a few weeks (with in total of around 36 differing .

Calcul tensoriel - Rameau - Ressources de la - BnF ~ Introduction to tensor analysis and the calculus of moving surfaces (2013) . Introduction to vector and tensor analysis (1972) De la notion de vecteur à la notion de tenseur (1971) Cartesian tensors in engineering science (1966) .

Introduction to Tensor Analysis and the Calculus of Moving ~ Introduction to Tensor Analysis and the Calculus of Moving Surfaces: Grinfeld, Pavel: 9781461478669: Books - .ca