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Foundations of Computational Mathematics, Hong Kong 2008
Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.
Surveys in Contemporary Mathematics
A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.
Surveys in Geometry and Number Theory
A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.
Integral Closure of Ideals, Rings, and Modules
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Algebraic Cycles and Motives: Volume 1
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.
Algebraic and Analytic Geometry
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
Surveys in Combinatorics 2007
Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.
Model Theory with Applications to Algebra and Analysis
The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles convey outstanding new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts.
Trends in Stochastic Analysis
Presenting important trends in the field of stochastic analysis, this collection of thirteen articles provides an overview of recent developments and new results. Written by leading experts in the field, the articles cover a wide range of topics, ranging from an alternative set-up of rigorous probability to the sampling of conditioned diffusions. Applications in physics and biology are treated, with discussion of Feynman formulas, intermittency of Anderson models and genetic inference. A large number of the articles are topical surveys of probabilistic tools such as chaining techniques, and of research fields within stochastic analysis, including stochastic dynamics and multifractal analysis. Showcasing the diversity of research activities in the field, this book is essential reading for any student or researcher looking for a guide to modern trends in stochastic analysis and neighbouring fields.
