Description: 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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EAN: 9780521198554
UPC: 9780521198554
ISBN: 9780521198554
MPN: N/A
Book Title: The Geometrical Language of Continuum Mechanics by
Item Length: 25.4 cm
Number of Pages: 324 Pages
Language: English
Publication Name: The Geometrical Language of Continuum Mechanics
Publisher: Cambridge University Press
Publication Year: 2010
Subject: Engineering & Technology, Mechanics, Mathematics
Item Height: 260 mm
Item Weight: 820 g
Type: Textbook
Author: Marcelo Epstein
Subject Area: Mechanical Engineering
Item Width: 185 mm
Format: Hardcover
