Series:De Gruyter Textbook
Elementary techniques are introduced to built up an intuition for the topic
Gives an overview and structure to a vibrant field of mathematics
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs.
Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included.
Basic courses in group theory, ring theory and field theory are assumed as background.
Asterisque, Number: 367-368
478 pp; softcover
ISBN-13: 978-2-85629-804-6
A note to readers: This book is in French.
This 66th volume of the Bourbaki Seminar contains the texts of the fifteen survey lectures done during the year 2013/2014: four lectures on topology and differential geometry, four lectures about partial differential equations, one lecture on the structure of approximate groups, one lecture about functional analysis, one lecture on the algebraic geometry of K3 surfaces, one lecture about the gaps between prime numbers, one lecture on probability theory, and two lectures concerning foundations of mathematics and formal proofs.
A publication of the Societe Mathematique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
ISBN: 978-1-118-79964-2
688 pages
August 2015
A well-balanced introduction to probability theory and mathematical statistics
Featuring a comprehensive update, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided into three parts, the Third Edition begins by presenting the fundamentals and foundations of probability. The second part addresses statistical inference, and the remaining chapters focus on special topics.
Featuring a substantial revision to include recent developments, An Introduction to Probability and Statistics, Third Edition also includes:
A new section on regression analysis to include multiple regression, logistic regression, and Poisson regression
A reorganized chapter on large sample theory to emphasize the growing role of asymptotic statistics
Additional topical coverage on bootstrapping, estimation procedures, and resampling
Discussions on invariance, ancillary statistics, conjugate prior distributions, and invariant confidence intervals
Over 550 problems and answers to most problems, as well as 350 worked-out examples and 200 remarks
Numerous figures to further illustrate examples and proofs throughout
An Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate- level students majoring in probability and statistics.
Vijay K. Rohatgi, PhD, is Professor Emeritus in the Department of Mathematics and Statistics at Bowling Green State University. An Investment Research Consultant for PRI Investments, he is also the author of several books and over 100 research papers.
A. K. Md. Ehsanes Saleh, PhD, is Distinguished Research Professor in the School of Mathematics and Statistics at Carleton University. Dr. Saleh is the author of more than 200 journal articles, and his research interests include nonparametric statistics, order statistics, and robust estimation.
ISBN: 978-1-118-74587-8
296 pages
November 2015
A comprehensive compilation of new developments in data linkage methodology
The increasing availability of large administrative databases has led to a dramatic rise in the use of data linkage, yet the standard texts on linkage are still those which describe the seminal work from the 1950-60s, with some updates. Linkage and analysis of data across sources remains problematic due to lack of discriminatory and accurate identifiers, missing data and regulatory issues. Recent developments in data linkage methodology have concentrated on bias and analysis of linked data, novel approaches to organising relationships between databases and privacy-preserving linkage.
Methodological Developments in Data Linkage brings together a collection of contributions from members of the international data linkage community, covering cutting edge methodology in this field. It presents opportunities and challenges provided by linkage of large and often complex datasets, including analysis problems, legal and security aspects, models for data access and the development of novel research areas. New methods for handling uncertainty in analysis of linked data, solutions for anonymised linkage and alternative models for data collection are also discussed.
Presents cutting edge methods for a topic of increasing importance to a wide range of research areas, with applications to data linkage systems internationally
Covers the essential issues associated with data linkage today
Includes examples based on real data linkage systems, highlighting the opportunities, successes and challenges that the increasing availability of linkage data provides
Novel approach incorporates technical aspects of both linkage, management and analysis of linked data
This book will be of core interest to academics, government employees, data holders, data managers, analysts and statisticians who use administrative data. It will also appeal to researchers in a variety of areas, including epidemiology, biostatistics, social statistics, informatics, policy and public health.
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Katie Harron, London School of Hygiene and Tropical Medicine, UK
Harvey Goldstein, University of Bristol and University College London, UK
Chris Dibben, University of Edinburgh, UK
Series: Mathematics Research Developments
Pub. Date: 2015 3rd Quarter
Pages (Approximate): 115 pages (6x9)
Binding: Hardcover
ISBN: 978-1-63483-023-2
Symmetric Boolean functions have played an important role in many aspects of design automation for many years. This book summarizes developments and provides a collection of new tools and techniques that can be used to advance the study of Boolean functions. Moreover, Boolean functions provide the necessary framework for expressing the operation of logic gates, which are the key building units for the accomplishment of signal processing tasks in fundamental and system-oriented levels. The book concludes with a discussion on how Boolean functions can be used to ensure the minimum degree of logical functionality between light-wave modulated signals.
Preface
Chapter 1
Symmetric Boolean Functions
(Peter M. Maurer, Dept. of Computer Science, Baylor University, Waco, Texas, USA)
Chapter 2
Boolean Functions: All-Optical Implementation Using Quantum-Dot Semiconductor Optical Amplifiers in Mach-Zehnder Interferometer
(.E. Zoiros, E. Dimitriadou and T. Houbavlis, Democritus University of Thrace, Department of Electrical and Computer Engineering, Lightwave Communications Research Group, Xanthi, Greece)
Bibliography
Index