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Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on ``Algorithmic and Quantitative Aspects of Real Algebraic Geometry''. Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.
‘Somerville is one of our finest gazetteers of the British countryside. He brings his formidable knowledge to bear on his personal quest to explore the cathedrals in this entrancing book’ The Spectator Christopher Somerville, author of the acclaimed The January Man, pictured cathedrals as great unmoving bastions of tradition. But as he journeys among Britian’s favourites, old and new, he discovers buildings and communities that have been in constant upheaval for a thousand years. Here are stories of the monarchs and bishops who ordered the construction of these buildings, the masons whose genius brought them into being, and the peasants who worked and died on the scaffolding. We learn of rogue saints exploited by holy sinners, the pomp and prosperity that followed these ships of stone, the towns that grew up in their shadows. Meeting believers and non-believers, architects and archaeologists, the cleaner who dusts the monuments and the mason who judges stone by its taste, we delve deep into the private lives and the uncertain future of these ever-voyaging Ships of Heaven. ‘Somerville paints word pictures of exquisite quality’ Church Times
This book identifies, diagnoses and evaluates social and economic processes taking place in the rural areas of Central and Eastern Europe (CEE) states in the last 25 years and affecting the immediate future, with a particular focus on their spatial diversity. It addresses questions related to the rationality of the current development policy and possible results in the future. Contemporary processes of socio-economic development are typified by the fact that spatial and regional disparities are tending to increase. This unfavourable phenomenon manifested both in society and in terms of polarised space needs to be counteracted using an effective development policy. The book highlights issues ...
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences
This book contains proceedings of the research conference on algebraic K-theory which took place in Poznan, Poland in September 1995. The conference concluded the activity of the algebraic K-theory seminar held at the Adam Mickiewicz University in the academic year 1994-1995. Talks at the conference covered a wide range of current research activities in algebraic K-theory. In particular, the following topics were covered * K-theory of fields and rings of integers * K-theory of elliptic and modular curves * Theory of motives, motivic cohomology, Beilinson conjectures * algebraic K-theory of topological spaces, topological Hochschild homology and cyclic homology. With contributions by leading experts in the field, this book provides a look at the state of current research in algebraic K-theory.
In the mid-1960's, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and the contemporaneous development of algebraic K-theory in the US. These connections were exemplified by the work of Andreotti-Bombieri, Salmon, and Traverso on seminormality, and by Bass-Murthy on the Picard groups of polynomial rings. Interactions proceeded far beyond this initial point to encompass Chow groups of singular varieties, complete intersections, and applications of K-theory to arithmetic and real geometry. This volume contains the proceedings from a US-Italy Joint Summer Seminar, which focused on this circle of ideas. The conference, held in June 1989 in Santa Margherita Ligure, Italy, was supported jointly by the Consiglio Nazionale delle Ricerche and the National Science Foundation. The book contains contributions from some of the leading experts in this area.
Dilemmas of Regional and Local Development aims to identify, diagnose and evaluate various approaches towards regional and local socio-economic development. Over the course of the book, authors from 12 countries and four continents come together to review experiences and solutions related to regional development in a range of different economic, social and political systems. The first part of the volume focuses on the fundamentals of planning regional and local development, particularly focusing on theoretical solutions and development policy concepts. The second part is more applied, looking at practical instruments and solutions for shaping the local economy, and analysing effective development policy. This book will be of interest to economics, geography, politics, and planning scholars and researchers working on regional sciences and local development.
This open access book provides new perspectives on circular economy and space, explored towards the definition of regenerative territories characterised by healthy metabolisms. Going beyond the mere reuse/recycle of material waste as resources, this work aims to understand how to apply circularity principles to, among others, the regeneration of wastescapes. The main focus is the development over time, and in particular the way how spatial planning and strategies respond to new unpredictable urgencies and opportunities related with territorial metabolisms. The book specifically focuses on living labs environments, where it is possible to tackle complex problems through a multidisciplinary an...