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This volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level.
Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
This is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site (http://cs.smith.edu/~orourke/) or by anonymous ftp.
Comprehensive Coordination Chemistry II (CCC II) is the sequel to what has become a classic in the field, Comprehensive Coordination Chemistry, published in 1987. CCC II builds on the first and surveys new developments authoritatively in over 200 newly comissioned chapters, with an emphasis on current trends in biology, materials science and other areas of contemporary scientific interest.
Designed for use with children in grades K-6, this book provides a review of support groups: their nature and value; the tripartite model of children's needs, behaviours they need to learn and environmental conditions that support learning; the Keystone Learning Model, which encompasses the tripartite model, strengths and decision-making; and 'nuts and bolts' suggestions for creating and managing child support groups. The book also addresses various support groups chapter by chapter and homework ideas are provided with each chapter.
International trade has shaped the modern world, yet until now no single book has been available for both economists and general readers that traces the history of the international economy from its earliest beginnings to the present day. Power and Plenty fills this gap, providing the first full account of world trade and development over the course of the last millennium. Ronald Findlay and Kevin O'Rourke examine the successive waves of globalization and "deglobalization" that have occurred during the past thousand years, looking closely at the technological and political causes behind these long-term trends. They show how the expansion and contraction of the world economy has been directly...
An exploration of walking and mapping as both form and content in art projects using old and new technologies, shoe leather and GPS. From Guy Debord in the early 1950s to Richard Long, Janet Cardiff, and Esther Polak more recently, contemporary artists have returned again and again to the walking motif. Today, the convergence of global networks, online databases, and new tools for mobile mapping coincides with a resurgence of interest in walking as an art form. In Walking and Mapping, Karen O'Rourke explores a series of walking/mapping projects by contemporary artists. She offers close readings of these projects—many of which she was able to experience firsthand—and situates them in relation to landmark works from the past half-century. Together, they form a new entity, a dynamic whole greater than the sum of its parts. By alternating close study of selected projects with a broader view of their place in a bigger picture, Walking and Mapping itself maps a complex phenomenon.
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Classifying spaces in surgery theory were first used by Sullivan and Casson in their (independent) unpublished work on the Hauptvermutung for PL manifolds. In his 1968 Ph.D. thesis, F. Quinn developed a general theory of surgery classifying spaces, realizing the Wall surgery groups as the homotopy groups [italic]L[subscript]*([italic]G) = [lowercase Greek]Pi[subscript]*([italic]L([italic]G)) of a spectrum of manifold n-ad surgery problems with fundamental group G. This work presents a detailed account of Quinn's theory. Geometric methods are used to view the Sullivan-Wall manifold structure sequence as an exact sequence of abelian groups (as suggested by Quinn). The intersection of the known induction theorems for generalized cohomology groups and [italic]L-groups then gives an induction theorem for the structure sequence with finite [italic]G.
Reprint of the original, first published in 1875.