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This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values.

These articles form a broad survey of this exciting field. Topics include pointed Hopf algebras, triangular Hopf algebras, Hopf algebra extensions and cohomology, quantum groups and groupoids, quantum symmetric pairs, monoidal categories, and the Brauer group of a Hopf algebra.

This 2005 volume, covering a broad range of topics, is an outgrowth of the synergism of Discrete and Computational Geometry. Its surveys and research articles explore geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms, and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.

This book contains expository contributions by respected researchers on the rich combinatorial problems arising from the study of algebraic geometry, topology, commutative algebra, representation theory, and convex geometry. It will continue to be of use to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.

Covering the mathematical basis of signal processing and many areas of application, this book is based on a series of graduate-level lectures held at the Mathematical Sciences Research Institute. Emphasis is on challenges in the subject, particular techniques adapted to particular technologies, and certain advances in algorithms and theory.

In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.

This book considers a branch of Riemannian geometry called Comparison Geometry. Comparing the geometry of an arbitrary Riemannian manifold with the geometries of constant curvature spaces has recently received great attention. This is an up-to-date reflection of developments in this field.

Surveys and research articles based on a 2004 MRSI research workshop, plus a commented problem list by leading experts cover several areas of dynamical systems that have recently experienced substantial progress, including symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; and ergodic theory.

This volume presents the results of discussions among mathematicians, maths education researchers, teachers, test developers, and policymakers who gathered to work through critical issues related to mathematics assessment. It highlights the kinds of information that different assessments can offer, with examples of some of the best mathematics assessments worldwide.

This volume presents the results of discussions among mathematicians, maths education researchers, teachers, test developers, and policymakers who gathered to work through critical issues related to mathematics assessment. It highlights the kinds of information that different assessments can offer, with examples of some of the best mathematics assessments worldwide.

Presents a complete proof of Connes' Index Theorem generalized to foliated spaces, alongside the necessary background from analysis, geometry, and topology. It thus provides a natural introduction to the basic ideas of noncommutative topology. This edition has improved exposition, an updated bibliography, an index, and covers new developments and applications.

This 1997 book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The first paper is an unfinished but insightful survey of the field of tight immersions and maps by Nicolaas H. Kuiper.