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03233nam a22005415i 4500 |
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978-3-319-06920-3 |
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DE-He213 |
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20210617163909.0 |
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cr nn 008mamaa |
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140702s2014 gw | s |||| 0|eng d |
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|a 9783319069203
|9 978-3-319-06920-3
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|a 10.1007/978-3-319-06920-3
|2 doi
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|a QA641-670
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|a PBMP
|2 bicssc
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|a MAT012030
|2 bisacsh
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|a PBMP
|2 thema
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|a 516.36
|2 23
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|a Epstein, Marcelo.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Differential Geometry
|h [electronic resource] :
|b Basic Notions and Physical Examples /
|c by Marcelo Epstein.
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| 250 |
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|a 1st ed. 2014.
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| 264 |
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1 |
|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2014.
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| 300 |
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|a XI, 139 p. 26 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Mathematical Engineering,
|x 2192-4732
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| 505 |
0 |
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|a Topological constructs -- Physical illustrations -- Differential constructs -- Physical illustrations.
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| 520 |
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|a 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. They are shown to be relevant to the description of space-time, configuration spaces of mechanical systems, symmetries in general, microstructure and local and distant symmetries of the constitutive response of continuous media. Once these ideas have been grasped at the topological level, the differential structure needed for the description of physical fields is introduced in terms of differentiable manifolds and principal frame bundles. These mathematical concepts are then illustrated with examples from continuum kinematics, Lagrangian and Hamiltonian mechanics, Cauchy fluxes and dislocation theory. This book will be useful for researchers and graduate students in science and engineering.
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| 650 |
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|a Differential geometry.
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| 650 |
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|a Mechanics.
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| 650 |
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|a Mechanics, Applied.
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| 650 |
|
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|a Physics.
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| 650 |
1 |
4 |
|a Differential Geometry.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M21022
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| 650 |
2 |
4 |
|a Solid Mechanics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/T15010
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| 650 |
2 |
4 |
|a Classical Mechanics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P21018
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| 650 |
2 |
4 |
|a Mathematical Methods in Physics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P19013
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer Nature eBook
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| 776 |
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8 |
|i Printed edition:
|z 9783319069210
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783319069197
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783319357140
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| 830 |
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|a Mathematical Engineering,
|x 2192-4732
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-319-06920-3
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| 912 |
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|a ZDB-2-ENG
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| 912 |
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|a ZDB-2-SXE
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| 950 |
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|a Engineering (SpringerNature-11647)
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| 950 |
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|a Engineering (R0) (SpringerNature-43712)
|
