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Rational Homotopy Theory and Differential Forms
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Computational Methods for Three-Dimensional Microscopy Reconstruction
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In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added.
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In Chapter 11 we give the Peter-Weyl theorem, which generalizes the completeness of the Fourier series in the context of compact non-commutative groups and gives a decomposition of the regular representation as a direct sum of irreducibles.
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Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds.
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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.
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This book explains the mathematical background behind the Standard Model, translating ideas from physics into a... Læs mere
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This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification... Læs mere
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A spatial logic is a formal language interpreted over any class of structures featuring geometrical entities and relations, broadly construed. In the past decade, spatial... Læs mere
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This book is unique in the current scenario because it provides a complete treatment of modern Brouwer and of Leray-Schauder degree theories, including detailed proofs and selected applications to differential equations.
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This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces.