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Book
Differentiable Manifolds : A Theoretical Physics Approach
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ISBN: 9780817682712 9780817682705 0817682708 0817682716 Year: 2012 Publisher: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,

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Abstract

This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work’s first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics.


Book
Innovative Materials and Techniques in Concrete Construction : ACES Workshop
Authors: ---
ISBN: 9789400719972 9789400719965 9400719965 9786613455895 9400719973 1283455897 Year: 2012 Publisher: Dordrecht : Springer Netherlands : Imprint: Springer,

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Recent years have seen enormous advances in the technology of concrete as a material, through which its strength, compactness and ductility can reach levels never dreamed of before. Thanks to these improved material properties, the strength and durability of concrete structures is greatly improved, their weight and dimensions reduced, the scope of concrete as a structural material is widened and – despite the higher material costs – overall economy is possible, with positive impacts on sustainability as well. Similar advances are underway in reinforcing materials, notably high strength steel and fibre-reinforced polymers, and in the way they are combined with concrete into high performance structures. Developments in materials and equipment, as well as new concepts, have lead to innovative construction techniques, reducing cost and construction time and making possible the application of concrete under extreme conditions of construction or environment. All these advances will be highlighted in the book by the top experts in the field of concrete structures, namely those currently active in the field’s leading and truly international scientific and technical association: the International Federation of Structural Concrete (fib) www.fib-international.org. Audience: Practicing engineers and firms, academics, researchers and graduate students, will all find the book timely, informative and very interesting.

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