The Geometrical Language of Continuum Mechanics by Marcelo Epstein (English) Har

Description: The Geometrical Language of Continuum Mechanics by Marcelo Epstein Here Epstein deals with modern differential geometry by placing it within the context of its application to the mechanics of deformable media (continuum mechanics). These two disciplines are mutually compatible as one enlightens the understanding of the other. Throughout the book, the mathematical concepts are exemplified by their engineering counterparts. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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. Author Biography Marcelo Epstein is currently a Professor of Mechanical Engineering at the University of Calgary, Canada. His main research has centered around the various aspects of modern continuum mechanics and its applications. A secondary related area of interest is biomechanics. He is a Fellow of the American Academy of Mechanics, recipient of the Cancam prize and University Professor of Rational Mechanics. He is also adjunct Professor in the Faculties of Humanities and Kinesiology at the University of Calgary. Table of Contents 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. Review The book is suitable for graduate students in the field of continuum mechanics who seek an introduction to the fundamentals of modern differential geometry and its applications in theoretical continuum mechanics. It will also be useful to researchers in the field of mechanics who look for overviews of the more specialized topics. The book is written in a very enjoyable and literary style in which the rich and picturesque language sheds light on the mathematics. Mathematical ReviewsI warmly recommend this book to all interested in differential geometry and mechanics. Zentralblatt MATH Promotional Presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Review Quote The Geometrical Language of Continuum Mechanics brings a fresh quality to this subject by blending differential topology with tensor analysis....the author is commended for making the materials accessible to the reader by including in the first chapter excellent introductory background topics, which are essential for unraveling interconnected abstractions in subsequent chapters." R.N Laoulache, University of Massachusetts Dartmouth Promotional "Headline" Presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Description for Bookstore Here Epstein deals with modern differential geometry by placing it within the context of its application to the mechanics of deformable media (continuum mechanics). These two disciplines are mutually compatible as one enlightens the understanding of the other. Throughout the book, the mathematical concepts are exemplified by their engineering counterparts. Description for Library Here Epstein deals with modern differential geometry by placing it within the context of its application to the mechanics of deformable media (continuum mechanics). These two disciplines are mutually compatible as one enlightens the understanding of the other. Throughout the book, the mathematical concepts are exemplified by their engineering counterparts. Details ISBN0521198550 Author Marcelo Epstein Publisher Cambridge University Press Year 2010 ISBN-10 0521198550 ISBN-13 9780521198554 Format Hardcover Media Book Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Short Title GEOMETRICAL LANGUAGE OF CONTIN Language English Publication Date 2010-07-26 Pages 324 DEWEY 621.0151636 Affiliation University of Calgary Illustrations Worked examples or Exercises; 39 Line drawings, unspecified UK Release Date 2010-07-26 AU Release Date 2010-07-26 NZ Release Date 2010-07-26 Alternative 9780511762673 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:168628426;

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