Differential Geometry

Basic Notions and Physical Examples

Inbunden, Engelska, 2014

Av Marcelo Epstein

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Differential Geometry offers a concise introduction to some basic notions of modern differential geometry and their applications to solid mechanics and physics. Concepts such as manifolds, groups, fibre bundles and groupoids are first introduced within a purely topological framework.

Produktinformation

Utgivningsdatum2014-07-15
Mått155 x 235 x 14 mm
Vikt376 g
FormatInbunden
SpråkEngelska
SerieMathematical Engineering
Antal sidor139
Upplaga2014
FörlagSpringer International Publishing AG
ISBN9783319069197

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Marcelo Epstein is Professor of Mechanical Engineering at the University of Calgary, where he has held the title of University Professor of Rational Mechanics. A Fellow of the American Academy of Mechanics and a recipient of the CANCAM award, he has published extensively in the field of the foundations and applications of continuum mechanics. He is the author or co-author of four books on various aspects of applied differential geometry, continuum mechanics and biomechanics.

"The book under review has grown out of lecture notes for a mini-course given at a workshop on differential geometry and continuum mechanics at the International Centre for Mathematical Sciences in 2013. ... addressing researchers and engineers in particular, Epstein's book provides a ... quick way to appreciate modern differential geometry and topology and get to their essential ideas and usefulness. Surely, Epstein manages to give the reader a motivation to delve into the deep waters of these two fields." (Theophanes Grammenos, Mathematical Reviews, June, 2015) "This book is based on a short course on 'Differential Geometry and Continuum Mechanics' given by Marcelo Epstein at the International Centre of Mathematical Sciences in Edinburgh in June 2013. The course provided a guided tour of differential geometry for researchers and graduate students in science and engineering - many of whom had a particular interest in continuum mechanics. ... this book is a gold mine of aesthetically pleasing mathematical ideas, the presentation of which is highly inspirational." (P. N. Ruane, MAA Reviews, December, 2014)