Hardback (ISBN-13: 9780521887946)
Page extent: 312 pages
Size: 247 x 174 mm
In recent years cosmologists have advanced from largely qualitative models of the Universe to precision modelling using Bayesian methods, in order to determine the properties of the Universe to high accuracy. This timely book is the only comprehensive introduction to the use of Bayesian methods in cosmological studies, and is an essential reference for graduate students and researchers in cosmology, astrophysics and applied statistics. The first part of the book focuses on methodology, setting the basic foundations and giving a detailed description of techniques. It covers topics including the estimation of parameters, Bayesian model comparison, and separation of signals. The second part explores a diverse range of applications, from the detection of astronomical sources (including through gravitational waves), to cosmic microwave background analysis and the quantification and classification of galaxy properties. Contributions from 24 highly regarded cosmologists and statisticians make this an authoritative guide to the subject.
* The only comprehensive introduction to Bayesian cosmology, an essential
reference for graduate students and researchers * Contains contributions
from a wide range of experts, including cosmologists and statisticians
* Describes methods and techniques in detail, and covers wide range of
applications
Preface; Part I. Methods: 1. Foundations and algorithms John Skilling;
2. Simple applications of Bayesian methods D. S. Sivia and Steve Rawlings;
3. Parameter estimation using Monte Carlo sampling Antony Lewis and Sarah
Bridle; 4. Model selection and multi-model interference Andrew R. Liddle,
Pia Mukherjee and David Parkinson; 5. Bayesian experimental design and
model selection forecasting Roberto Trotta, Martin Kunz, Pia Mukherjee
and David Parkinson; 6. Signal separation in cosmology M. P. Hobson, M.
A. J. Ashdown and V. Stolyarov; Part II. Applications: 7. Bayesian source
extraction M. P. Hobson, Graca Rocha and R. Savage; 8. Flux measurement
Daniel Mortlock; 9. Gravitational wave astronomy Neil Cornish; 10. Bayesian
analysis of cosmic microwave background data Andrew H. Jaffe; 11. Bayesian
multilevel modelling of cosmological populations Thomas J. Loredo and Martin
A. Hendry; 12. A Bayesian approach to galaxy evolution studies Stefano
Andreon; 13. Photometric redshift estimation: methods and applications
Ofer Lahav, Filipe B. Abdalla and Manda Banerji; Index.
Series: Cambridge Mathematical Library
Paperback (ISBN-13: 9780521739559)
Page extent: 240 pages
Size: 228 x 152 mm
The new edition of this celebrated and long-unavailable book preserves the original book’s content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry. At the same time, the book has been completely re-typeset, errors have been eliminated, proofs have been streamlined, the notation has been made consistent and uniform, an index has been added, and a guide to recent literature has been added. The book brings together ideas from algebraic geometry, differential geometry, representation theory and number theory, and will continue to prove of value for researchers and graduate students in these areas.
* A long-unavailable classic is finally back in print * This revised edition
contains improved presentation, homogenized notation, an index and a guide
to the more recent literature * A valuable reference for researchers and
graduate students in algebraic geometry
Preface to the second edition; Preface to the first edition; 1. Basics on torus embeddings: examples; 2. Polyhedral reduction theory in self-adjoint cones; 3. Compactifications of locally symmetric varieties; 4. Further developments; Supplementary bibliography; Index.
Series: Cambridge Monographs on Mathematical Physics
Hardback (ISBN-13: 9780521880541)
Page extent: 384 pages
Size: 247 x 174 mm
Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.
* Gives detailed accounts of the measurement theories of von Neumann and
Sewell * Key concepts and results are explained, whilst avoiding technical
proofs * The relation between theoretical and experimental physics is analysed
in depth
Prologue; Part I: Introduction to Part I; 1. Mathematical structures on sets of points; 2. Definition of causality on a structureless set; 3. The topology of ordered spaces; 4. Completions of ordered spaces; 5. Structures on order-complete spaces; Part II: Introduction to Part II; 6. Real numbers and classical measurements; 7. Special topics in quantum mechanics; 8. Von Neumann's theory of measurement; 9. Macroscopic observables in quantum physics; 10. Sewell's theory of measurement; 11. Summing-up; 12. Large quantum systems; Epilogue; Appendixes; References; Index.
Paperback (ISBN-13: 9780521120043)
Size: 244 x 170 mm
Weight: 0.35 kg
This is a collection of surveys and research papers on topics of interest in combinatorics, given at a conference in Matrahaza, Hungary. Originally published in journal form, it is here reissued as a book due to its special interest. It is dedicated to Paul Erdos, who attended the conference and who is represented by two articles in the collection, including one, unfinished, which he was writing on the eve of his sudden death. Erdos was one of the greatest mathematicians of his century and often the subject of anecdotes about his somewhat unusual lifestyle. A preface, written by friends and colleagues, gives a flavour of his life, including many such stories, and also describes the broad outline and importance of his work in combinatorics and other related fields. Here is a succinct introduction to important ideas in combinatorics for researchers and graduate students.
* Thorough survey of the field by leaders within it * Insightful introduction
to Erdos’s life and work, written by friends and colleagues
Preface; Paul Erdos: the man and the mathematician (1913*1996) Miklos Simonovits
and Vera T. Sos; 1. A selection of problems and results in combinatorics
Paul Erdos; 2. Combinatorial Nullstellensatz Noga Alon; 3. Connectedness,
classes and cycle index E. A. Bender, P. J. Cameron, A. M. Odlyzko and
L. B. Richmond; 4. A Tutte polynomial for coloured graphs Bela Bollobas
and Oliver Riordan; 5. Notes on sum-free and related sets Peter J. Cameron
and Paul Erdos; 6. Geometrical bijections in discrete lattices Hans-Georg
Carstens, Walter A. Deuber, Wolfgang Thumser and Elke Koppenrade; 7. On
random intersection graphs: the subgraph problem Michal Karonski, Edward
R. Scheinerman and Karen B. Singer-Cohen; 8. The blow-up lemma Janos Komlos;
9. The homomorphism structure of classes of graphs Jaroslav Nesetril; 10.
Problem collection of the DIMANET Matrahaza workshop, 22*28 October 1995.
Reviews
Review of the hardback: 'This is a wonderful book in memory of Paul Erdos. There is also a long introductory paper by Miklos Simonovits and Vera T. Sos about Paul Erdos. This paper is particularly well written and gives a very good idea about what kind of man and what kind of mathematician Paul Erdos really was. Without any doubt, these papers belong to the private library of any mathematician in combinatorics.' Bulletin of the Belgian Mathematical Society
Review of the hardback: 'This book can be recommended to all those interested in combinatorics and cognate fields.' Niew Archief voor Wiskunde