Hardback ISBN: 9781107013599
Paperback ISBN 9781107644458
216 pages 19 b/w illus.
Dimensions: 228 x 152 mm
available from July 2011
Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete, illuminating your path and deepening your understanding. This book is essential reading for anyone who makes extensive use of statistical methods in their work.
* One author is pre-eminent statistician, D. R. Cox, and both authors have extensive experience in applying statistics
* Links statistical methods and theory to effective application, and discusses the real-world challenges that are rarely addressed in the literature
* Assumes only a very limited knowledge of the detailed techniques
Preface
1. Some general concepts
2. Design of studies
3. Special types of study
4. Principles of measurement
5. Preliminary analysis
6. Model formulation
7. Model choice
8. Techniques of formal inference
9. Interpretation
10. Epilogue
References
Index.
Series: Encyclopedia of Mathematics and its Applications (No. 144)
ISBN: 9781107013698
65 b/w illus. 15 tables 120 exercises
Dimensions: 234 x 156 mm
available from January 2012
Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research
Preface
1. Concepts and examples
2. Particular classes of ordered sets
3. Morphisms of ordered sets
4. Chains and antichains
5. Ordered sets and distributive lattices
6. Order codings and dimensions
7. Some uses
A. About algorithmic complexity
B. The 58 non-isomorphic connected ordered sets with at most 5 elements
C. The numbers of ordered sets and of non-isomorphic ordered sets
D. Documentation marks
List of symbols
Bibliography
Index.
2011 80pp Pbk
978-1-904868-97-2
This classic paper was first published in Soviet Scientific Reviews in 1979; Professor A.A.Belavin is one of the originators of instanton theory and the paper provides a clear summary of an important subject with some significant insights. More than thirty years later, instantons continue to be of interest and the timely republication of this classic paper provides an accessible reference text for students and researchers. Recently, L.F.Alday, D.Gaiotto and Y.Tachikawa proposed the striking relation between 2-conformal field theory and N=2 SUSY d=4 QCD confirms the current increasing interest in instantons and highlights the importance and contribution of the fundamental work.
ESI Lectures in Mathematics and Physics
ISBN 978-3-03719-008-1
DOI 10.4171/008
July 2011, 280 pages, softcover, 17 x 24 cm.
This collection of expository articles grew out of the workshop “Number Theory and Physics” held in March 2009 at the The Erwin Schrodinger International Institute for Mathematical Physics, Vienna. The common theme of the articles is the influence of ideas from noncommutative geometry (NCG) on subjects ranging from number theory to Lie algebras, index theory, and mathematical physics.
Matilde Marcolli’s article gives a survey of relevant aspects of NCG in number theory, building on an introduction to motives for beginners by Jorge Plazas and Sujatha Ramdorai. A mildly unconventional view of index theory from the viewpoint of NCG is described in the article by Alan Carey, John Phillips and Adam Rennie. As developed by Alain Connes and Dirk Kreimer, NCG also provides insight into novel algebraic structures underlying many analytic aspects of quantum field theory. Dominique Manchon's article on pre-Lie algebras fits into this developing research area. This interplay of algebraic and analytic techniques also appears in the articles by Christoph Bergbauer, who introduces renormalisation theory and Feynman diagram methods, and Sylvie Paycha, who focuses on relations between renormalisation and zeta function techniques.
Hardcover. 527 pages.
ISBN: 978-1-57146-227-5
To be released: 15 July 2011
This is the first volume of a projected series of two or three collections
of mainly expository articles on the arithmetic theory of automorphic forms.
The books are intended primarily for two groups of readers. The first group
is interested in the structure of automorphic forms on reductive groups over
number fields, and specifically in qualitative information about the
multiplicities of automorphic representations. The second group is
interested in the problem of classifying l?adic representations of Galois
groups of number fields. Langlands' conjectures elaborate on the notion that
these two problems overlap to a considerable degree. The goal of this series
of books is to gather into one place much of the evidence that this is the
case, and to present it clearly and succinctly enough so that both groups of
readers are not only convinced by the evidence but can pass with minimal
effort between the two points of view. More than a decade's worth of
progress toward the stabilization of the Arthur-Selberg trace formula,
culminating in Ngo Bau Chau's recent proof of the Fundamental Lemma, has
made this series timely.