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This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.
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This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.
Leven en werk van de Vlaamse schrijver Gerard Jacob Lodewijk Walschap (1898- ).
The complex and shifting relation between regionalism and modernity With its search for purity, honesty, modesty, and ‘fitness of purpose', the late 19th and early 20th century concept of architectural regionalism is seminal to the modern movement. In later historiography, however, regionalism in Europe was neglected and even labeled ‘backward'. The origins of this drastic change of perception can be traced to the 1930s, when regionalism as a positive form gradually turned into a ‘closed' form of regionalism, a folding back on one's own region as a defence mechanism in an economically and politically turbulent decade.
Bundeling van boekrecensies en essays van de Vlaamse schrijver (1898-1989) die hij tussen 1922 en 1926 schreef, hoofdzakelijk voor de tijdschriften 'Het Vlaamsche Land' en 'Dietsche Warande & Belfort'.
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