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Introduction to Tensor Analysis and the Calculus of Moving Surfaces by Pavel Grinfeld - Hardcover
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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9781461478669
    Item EAN
    2724444986598
    People
    Author
    Pavel Grinfeld
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Mathematics
    ISBN
    9781461478669
    Item EAN
    2724444986598
    People
    Author
    Pavel Grinfeld
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Hardcover
    Languages and countries
    Book Language
    English
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  •  

    Description:

    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

    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 20th 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.

    Product Features:
    • Genre: Mathematics
    • Author: Pavel Grinfeld
    • Format: Hardcover
    • Book Language: English
    • Book Origin: United States
    • Publisher: Springer International Publishing AG
    • Publication Year: 2013
    • ISBN: 9781461478669
    • Number of Pages: 315
    • Product Dimensions: 23.11 x 16.26 x 2.54 cm
    • Product Weight: 620 g
 

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