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This book examines career patterns of the professoriate. Professors may appear as specialised individualists in their fields, and yet they follow pathways which are anything but unique. Drawing from a unique data set, the authors analyse the trajectories of the almost 2000 linguists and sociologists who hold full professorships in Germany, France and the UK in 2015. With a background in social theory, they reveal models, structures and rules that organise the professional lives and biographies of the most senior academics. This book presents the results of a systematic empirical study, which will be of interest to specialists in higher education studies as well as to linguists and sociologists, and to all academics more generally.
This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics. Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms.
Physics has long been regarded as a wellspring of mathematical problems. "e;Mathematical Methods in Physics"e; is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. A comprehensive bibliography and index round out the work. Key Topics: * Part I: A brief introduction to (Schwartz) distribution theory; Elements from the theories of ultra distributions and hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties of and basic properties for distributions are developed with applications to constant coefficient ODEs and PDEs; the relation between distributions and holomorphic functions is developed as well. * Part II: Fundamental facts about Hilbert spaces and their geometry. The theory of linear (bounded and unbounded) operators is developed, focusing on results needed for the theory of Schroedinger operators. The spectral theory for self-adjoint operators is given in some detail. * Part III: Treats the direct methods of the calculus of variations and their applications to boundary- and eigenvalue-problems for linear and nonlinear partial differential operators, concludes with a discussion of the Hohenberg--Kohn variational principle. * Appendices: Proofs of more general and deeper results, including completions, metrizable Hausdorff locally convex topological vector spaces, Baire's theorem and its main consequences, bilinear functionals. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines. Requisite knowledge for the reader includes differential and integral calculus, linear algebra, and some topology. Some basic knowledge of ordinary and partial differential equations will enhance the appreciation of the presented material.
Der 4. Juli 2012 stellt ein historisches Datum fur das Europaische Kernforschungszentrum CERN in Genf dar: die Verkundung der Entdeckung des letzten, vorhergesagten, noch fehlenden und lange gesuchten Elementarteilchens, des Higgs-Bosons. Ein Jahr spater kommen im Rahmen der Konferenz des Zentrums fur interdisziplinare Forschung (ZiF) in Bielefeld eine Vielzahl der mit dem Groprojekt am CERN verbundenen Wissenschaftler zusammen, um nicht nur uber die Entdeckung des Teilchens, sondern vor allem uber die Realisierung und Bedeutung eines derart ungeheuren Unterfangens fur solch ein wissenschaftliches Groprojekt zu berichten.Der Generaldirektor des CERN, Prof. Dr. Rolf-Dieter Heuer, liefert in seinem Eroffnungsvortrag die Grundlage fur die Diskussion der vielerlei Aspekte, die dabei ins Spiel kommen.So finden sich im vorliegenden Band zum einen Berichte uber die Groforschung selbst: von der Entdeckung des Higgs-Teilchens uber die Erforschung des Quark-Gluon-Plasmas und die Bedeutung von Theorien der Neuen Physik, wie der Supersymmetrie, bis hin zur Gefahr durch Schwarze Mikrolocher. Zum anderen werden Themen werden Themen wie der Bau und die Finanzierung von Groprojekten, wie dem LHC am CERN oder dem FAIR in Darmstadt, naher beleuchtet. Daruber hinaus bereichern Beitrage uber die philosophischen Aspekte und kulturellen bzw. gesellschaftlichen Auswirkungen der wissenschaftlichen Groforschung am LHC den interdisziplinaren Austausch um weitere Perspektiven.Durch eine Vielzahl an Informationsboxen werden dem Leser relevante Hintergrunde und die notwendigen physikalischen Sachverhalte nahergebracht.
This book corrects popular misconceptions about China's trade surplus. It examines the relation between RMB's exchange rate and China's trade surplus and discusses how China could potentially reduce trade frictions.
Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Cities are considered to be among the largest and most complex artificial networks created by human beings. This monograph uses methods from spectral graph theory and statistical physics to lay the theoretical foundations for studying compact urban topology.
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