Product Description: This volume contains the proceedings of a joint USA-USSR symposium on algebraic geometry, held in Chicago, USA, in June-July 1989.

This introduction to the field concentrates on concrete problems in spaces with few dimensions, introducing only those algebraic concepts which are necessary for the problems encountered. It also emphasizes the application of ideas within the field to other areas of mathematical study.

Product Description: From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications...read more

Product Description: This book introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. It requires little technical background: much of the material is accessible to graduate students in mathematics...read more

Product Description: Since the early 1980s, a growing group of planners and developers have rebelled against conventional suburban development as practiced in the U.S. since World War II. They offer an alternative vision of suburban neighborhoods and metropolitan regions, but can these “designer” communities successfully compete in today’s complex marketplace, and can they solve the problems of sprawl? This policy focus report reviews the history of new town planning and explores the potential of New Urbanism...read more

Product Description: The articles in this volume are an outgrowth of an International Confer ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were research-oriented as well as partly expository...read more

Most Americans today do not live in discrete cities and towns, but rather in an aggregation of cities and suburbs that forms one basic economic, multi-cultural, environmental and civic entity. These “regional cities” have the potential to significantly improve the quality of our lives--to provide interconnected and diverse economic centers, transportation choices, and a variety of human-scale communities. In The Regional City, two of the most innovative thinkers in the field of land use planning and design offer a detailed look at this new metropolitan form and explain how regional-scale planning and design can help direct growth wisely and reverse current trends in land use. The authors:discuss the nature and underpinnings of this new metropolitan formpresent their view of the policies and physical design principles required for metropolitan areas to transform themselves into regional citiesdocument the combination of physical design and social and economic policies that are being used across the countryconsider the main factors that are shaping metropolitan regions today, including the maturation of sprawling suburbs and the renewal of urban neighborhoods .Featuring full-color graphics and in-depth case studies, The Regional City offers a thorough examination of the concept of regional planning along with examples of successful initiatives from around the country. It will be must reading for planners, architects, landscape architects, local officials, real estate developers, community development professionals, and for students in architecture, urban planning, and policy. (view table of contents)

Product Description: In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p: K--+A of contravariant functors...read more

Product Description: Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems...read more

Product Description: This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several interesting correspondences...read more