Lecture introductory

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  • Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 Abstract These notes represent approximately one semester’s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein’s equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/notes/. NSF-ITP/97-147 gr-qc/9712019 .i Table of Contents 0.

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  • What are human languages, such that they can be acquired and used as they are? This class surveys some of the most important and recent approaches to this question, breaking the problem up along traditional lines. In spoken languages, what are the basic speech sounds? How are these sounds articulated and combined? What are the basic units of meaning? How are the basic units of meaning combined into complex phrases? How are these complexes interpreted? These questions are surprisingly hard! This introductory survey can only briefly touch on each one....

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  • This is the third volume of the Paris-Princeton Lectures in Mathematical Finance. The goal of this series is to publish cutting edge research in self-contained articles prepared by well known leaders in the field or promising young researchers invited by the editors. Particular attention is paid to the quality of the exposition, and the aim is at articles that can serve as an introductory reference for research in the field. The series is a result of frequent exchanges between researchers in finance and financial mathematics in Paris and Princeton.

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  • This is the first volume of the Paris-Princeton Lectures in Financial Mathematics. The goal of this series is to publish cutting edge research in self-contained articles prepared by well known leaders in the field, or promising young researchers invited by the editors to contribute to a volume. Particular attention is paid to the quality of the exposition and we aim at articles that can serve as an introductory reference for research in the field. The series is a result of frequent exchanges between researchers in finance and financial mathematics in Paris and Princeton.

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