| 書目名稱 | Introduction to Tensor Analysis and the Calculus of Moving Surfaces | | 編輯 | Pavel Grinfeld | | 視頻video | http://file.papertrans.cn/475/474266/474266.mp4 | | 概述 | Is a self-contained introduction to tensor calculus containing over 150 exercises.Presents a clear geometric picture combined with an effective and elegant analytical technique.Uses an informal approa | | 圖書封面 |  | | 描述 | .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.th. 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 th | | 出版日期 | Textbook 2013 | | 關鍵詞 | Euclidean spaces; Gauss‘s theorem; covariant differentiation; differential geometry; tensor calculus; mat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-7867-6 | | isbn_softcover | 978-1-4939-5505-3 | | isbn_ebook | 978-1-4614-7867-6 | | copyright | Springer Science+Business Media New York 2013 |
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