عنوان

The geometrical language of continuum mechanics /

شابک

0521198550

شابک

9780521198554

شماره

dltt

عنوان اصلي

The geometrical language of continuum mechanics /

نام عام مواد

[Book]

نام نخستين پديدآور

Marcelo Epstein

نام خاص و کميت اثر

xii, 312 pages :

ساير جزييات

illustrations ;

ابعاد

26 cm

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Machine generated contents note: Part I. Motivation and Background: 1. The case for differential geometry; 2. Vector and affine spaces; 3. Tensor algebras and multivectors; Part II. Differential Geometry: 4. Differentiable manifolds; 5. Lie derivatives, Lie groups, Lie algebras; 6. Integration and fluxes; Part III. Further Topics: 7. Fibre bundles; 8. Inhomogeneity theory; 9. Connection, curvature, torsion; Appendix A. A primer in continuum mechanics

بدون عنوان

8

متن يادداشت

"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"--

موضوع مستند نشده

Continuum mechanics

مستند نام اشخاص تاييد نشده

Epstein, M., (Marcelo)

تاريخ عمليات

20110615032223.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y