Description: The Geometrical Language of Continuum Mechanics Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Marcelo Epstein Format: Hardback Publisher: Cambridge University Press, United Kingdom Imprint: Cambridge University Press ISBN-13: 9780521198554, 978-0521198554 Synopsis Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications.
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Book Title: The Geometrical Language of Continuum Mechanics
Number of Pages: 324 Pages
Publication Name: The Geometrical Language of Continuum Mechanics
Language: English
Publisher: Cambridge University Press
Item Height: 260 mm
Subject: Engineering & Technology, Mechanics, Mathematics
Publication Year: 2010
Type: Textbook
Item Weight: 820 g
Subject Area: Mechanical Engineering
Author: Marcelo Epstein
Item Width: 185 mm
Format: Hardcover