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Uniform Central Limit Theorems (Cambridge Studies in Advanced Mathematics)
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Editorial Reviews — ... Product Description | This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains. The author, an acknowledged expert, gives a thorough treatment of the subject, including several topics not found in any previous book, such as the Fernique-Talagrand majorizing measure theorem for Gaussian processes, an extended treatment of Vapnik-Chervonenkis combinatorics, the Ossiander L2 bracketing central limit theorem, the Giné-Zinn...more
A History of the Conceptions of Limits and Fluxions in Great Britain from Newton to Woodhouse
Editorial Reviews — ... Product Description | Reprint 2007. Hardbound. Octavo. English. Book viii, 299 p. 2 port. (incl. front.) diagrs. Chicago, London, The Open Court Pub. Co. Florian Cajori (February 28, 1859 in St Aignan (near Thusis), Graubünden, Switzerland-August 15, 1930, Berkeley, California) was one of the most celebrated historians of mathematics in his day. He emigrated to the United States at the age of sixteen. He received a Ph.D. at Tulane University, where he taught for a few years before being driven north by his...more
Some Limit Theorems in Statistics (CBMS-NSF Regional Conference Series in Applied Mathematics)
Editorial Reviews — ... Product Description | A discussion of some topics in the theory of large deviations such as moment-generating functions and Chernoff's theorem, and of aspects of estimation and testing in large samples, such as exact slopes of test statistics....more
Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series)
Editorial Reviews — ... Product Description | Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years mathematical theory has undergone significant growth, mainly due to microlocal analysis techniques. This volume develops the basic methods of the theory, including the WKB-method, stationary phase and h-pseudodifferential operators. The authors employ the systematic use of a Cauchy formula that simplifies the functional calculus of pseudodifferential operators. The...more
Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets (Cambridge Tracts in Mathematics)
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Editorial Reviews — ... Product Description | The main focus of this book is on the development of the theory of Graph Directed Markov Systems. This far-reaching generalization of the theory of conformal iterated systems can be applied in many situations, including the theory of dynamical systems. Dan Mauldin and Mariusz Urbanski include much of the necessary background material to increase the appeal of this book to graduate students as well as researchers. They also include an extensive list of references for further reading....more
Generalized limits in general analysis
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