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Whilst these records were being conceived, rehearsed, recorded and produced, Thom Yorke and Stanley Donwood made hundreds of images. These ranged from obsessive, insomniac scrawls in biro to six-foot-square painted canvases, from scissors-and-glue collages to immense digital landscapes. They utilised every medium they could find, from sticks and knives to the emerging digital technologies. The work chronicles their obsessions at the time: minotaurs, genocide, maps, globalisation, monsters, pylons, dams, volcanoes, locusts, lightning, helicopters, Hiroshima, show homes and ring roads. What emerges is a deeply strange portrait of the years at the commencement of this century. A time that seems an age ago – but so much remains the same.
First Published in 2018. It is now some fifteen years since Structural Stability and Morphogenesis was first published in the French edition. The purely mathematical theory of singularities of smooth maps has developed tremendously in that time, however, the main interest of this book lies not in its mathematics, but in the methodological perspective opened up by Catastrophe Theory models.
Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages: 1. It leads more quickly to the essentials of the subject, 2. An absence of signs and orientation considerations simplifies the theory, 3. Computations and advanced applications can be presented at an earlier stage, 4. Simple geometrical interpretations of (co)chains. Mod 2 (co)homology was developed in the first quarter of the twentieth century as an alternative to integral homology, before both became particular cases of (co)homology with arbitrary coefficients. Th...
This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.
Thom's Irish who's who: a biographical book of reference of prominent men and women in Irish life at home and abroad
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of a...