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This book contains eight expository articles by well-known authors on the theory of Galois groups and fundamental groups, focusing on developments in the field. Among the subjects covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic.

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 presents expository accounts of six important topics in Finsler geometry suitable for a special-topics graduate course in differential geometry. They treat issues related to volume, geodesics, curvature and mathematical biology, and provide a good variety of instructive examples.

This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. These focus on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics.

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.

This 1999 book is a collection of research and expository articles on convex geometry and probability, suitable for researchers and graduate students in several branches of mathematics coming under the broad heading of 'Geometric Functional Analysis'. It arises arises from an MSRI program held in the spring of 1996.

This fascinating 2003 collection of articles runs the gamut from new theoretical approaches, both computational and mathematical, to other games such as Amazons, Chomp, Dot-and-Boxes, Go, Chess, and Hex. Includes an updated bibliography by A. Fraenkel and a list of combinatorial game theory problems by R. K. Guy.

First published in 2000, this book provides a clear and complete picture of research in Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry. The expository nature of the articles makes this an excellent introduction for students as well as a basis for continuing research.

The 1992/3 academic year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This 1996 volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.

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 presents expository accounts of six important topics in Finsler geometry suitable for a special-topics graduate course in differential geometry. They treat issues related to volume, geodesics, curvature and mathematical biology, and provide a good variety of instructive examples.

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 consists of lectures that are part of the distinguished series of MSRI workshops and contains contributions by six different authors providing mathematics students and researchers with a bridge - or a window - into a portion of the intriguing world of theoretical physics, especially that which centers around Einstein gravitation and quantum field theory.

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. In this book, originally published in 2000, leading experts provide the necessary background to understanding the model theory and mathematics behind these applications.

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 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.

Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

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.

This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed.

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.

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 book contains eight expository articles by well-known authors on the theory of Galois groups and fundamental groups, focusing on developments in the field. Among the subjects covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive characteristic.

First published in 2000, this expository volume of surveys and research results covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.

This book deals with combinatorial games, that is, games not involving chance or hidden information. The first part of the book will be accessible to anyone, regardless of background. For those who want to delve more deeply, the book also contains combinatorial studies of chess and Go, plus reports on computer advances and theoretical approaches.

This book deals with combinatorial games, that is, games not involving chance or hidden information. The first part of the book will be accessible to anyone, regardless of background. For those who want to delve more deeply, the book also contains combinatorial studies of chess and Go, plus reports on computer advances and theoretical approaches.