Publication planned for: August 2015
format: Hardback
isbn: 9781107075160
Probability comes of age with this, the first dictionary of probability and its applications in English, which supplies a guide to the concepts and vocabulary of this rapidly expanding field. Besides the basic theory of probability and random processes, applications covered here include financial and insurance mathematics, operations research (including queueing, reliability, and inventories), decision and game theory, optimization, time series, networks, and communication theory, as well as classic problems and paradoxes. The dictionary is reliable, stable, concise, and cohesive. Each entry provides a rigorous definition, a sketch of the context, and a reference pointing the reader to the wider literature. Judicious use of figures makes complex concepts easier to follow without oversimplifying. As the only dictionary on the market, this will be a guiding reference for all those working in, or learning, probability together with its applications.
Preface
Table of distributions
The dictionary.
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Part of London Mathematical Society Lecture Note Series
Publication planned for: June 2015
format: Paperback
isbn: 9781107462496
This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre?Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila?Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.
Preface A. J. Wilkie and G. O. Jones
1. The Manin?Mumford conjecture, an elliptic curve, its torsion points and their Galois orbits P. Habegger
2. Rational points on definable sets A. J. Wilkie
3. Functional transcendence via o-minimality Jonathan Pila
4. Introduction to abelian varieties and the Ax?Lindemann?Weierstrass theorem Martin Orr
5. The Andre?Oort conjecture via o-minimality Christopher Daw
6. Lectures on elimination theory for semialgebraic and subanalytic sets A. J. Wilkie
7. Relative Manin?Mumford for abelian varieties D. Masser
8. Improving the bound in the Pila?Wilkie theorem for curves G. O. Jones
9. Ax?Schanuel and o-minimality Jacob Tsimerman.
Part of Australian Mathematical Society Lecture Series
Publication planned for: October 2015
format: Paperback
isbn: 9781107629448
A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.
Preface
Notational conventions
1. Introduction
2. Finite classical groups
3. Conjugacy classes
4. Subspace actions
5. Non-subspace actions
6. Low-dimensional classical groups
Appendix A. Number-theoretic miscellanea
Appendix B. Tables
References
Index.
Series:De Gruyter Proceedings in Mathematics
Proceedings of the 8th International Conference of Topological Algebras and Their Applications (ICTAA-2014), held on May 26-30, 2014 in Playa de Villas de Mar Beach, dedicated to the memory of Anastasios Mallios (Athens, Greece). This series of conferences started in 1999 in Tartu, Estoniaand were subsequently heldin Rabat, Moroco (2000), Oulu, Finland (2001), Oaxaca, Mexico (2002), Bedlewo, Poland (2003), Athens, Greece (2005)and Tartu, Estonia (2008 and 2013).
The topics of the conference include all areas of mathematics, connected with (preferably general) topological algebras and their applications, including all kinds of topological-algebraic structures as topological linear spaces, topological rings, topological modules, topological groups and semigroups; bornological-algebraic structures such as bornological linear spaces, bornological algebras, bornological groups, bornological rings and modules; algebraic and topological K-theory; topological module bundles, sheaves and others.
24 x 17 cm
xii, 350 pages 40 Fig.
Language: English
Type of Publication: Proceedings
Mathematics > Algebra and Number Theory
Mathematics > Geometry and Topology
Series:De Gruyter Studies in Mathematical Physics 32
One of the most deep and exciting ideas in mathematics in the last couple of decades is Mirror Symmetry. It was introduced in physics as a duality between superconformal field theories.The book is about thisrapidly developing topic.
24 x 17 cm
Approx. x, 200 pages 20 Fig.
Language: English
Type of Publication: Monograph
Mathematics > Applied Mathematics
Physics > Theoretical and Mathematical Physic