Bøger af Philippe Blanchard

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.

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.

This book introduces the theory of graphs and random walks on graphs, covers methods for exploring the structure of finite connected graphs and databases, and details applications in electric resistance networks, urban planning, linguistic databases and more.

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.

Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.