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Blowups, Slicings and Permutation Groups in Combinatorial Topology
Combinatorial topology is a field of research that lies in the intersection of geometric topology, combinatorics, algebraic topology and polytope theory. The main objects of interest are piecewise linear topological manifolds where the manifold is given as a simplicial complex with some additional combinatorial structure. These objects are called combinatorial manifolds. In this work, elements and concepts of algebraic geometry, such as blowups, Morse theory as well as group theory are translated into the field of combinatorial topology in order to establish new tools to study combinatorial manifolds. These tools are applied to triangulated surfaces, 3- and 4-manifolds with and without the help of a computer. Among other things, a new combinatorial triangulation of the K3 surface, combinatorial properties of normal surfaces, and new combinatorial triangulations of pseudomanifolds with multiply transitive automorphism group are presented.
Blowup for Nonlinear Hyperbolic Equations
Solutions to partial differential equations or systems often, over specific time periods, exhibit smooth behaviour. Given sufficient time, however, they almost invariably undergo a brutal change in behaviour, and this phenomenon has become known as blowup. In this book, the author provides an overview of what is known about this situation and discusses many of the open problems concerning it.
Blow-up
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Blowup
A technological and philosophical history of inflatable art, architecture and design in all aspects of life, from children's toys to military craft.
How to Blow Up a Pipeline
Property will cost us the earth The science on climate change has been clear for a very long time now. Yet despite decades of appeals, mass street protests, petition campaigns, and peaceful demonstrations, we are still facing a booming fossil fuel industry, rising seas, rising emission levels, and a rising temperature. With the stakes so high, why haven't we moved beyond peaceful protest? In this lyrical manifesto, noted climate scholar (and saboteur of SUV tires and coal mines) Andreas Malm makes an impassioned call for the climate movement to escalate its tactics in the face of ecological collapse. We need, he argues, to force fossil fuel extraction to stop--with our actions, with our bodi...
Antonioni's Blow-up
Michelangelo Antonioni's 1966 film Blow-Up is a masterfully constructed and paced exploration of the enigmas that challenge our interpretations of both the moving and the still image. Photography plays a key role at the very core of the film, providing the metaphorical site for the director's questioning of the relationship between reality and perceptions. This book provides a fresh and stimulating study of Antonioni's masterpiece. It reassembles and re-tells - through onset stills and the original blow-ups - the film's key narrative and pictorial strands in a focused visual investigation that is complemented by the authors' analytical essays. These texts draw on new research and effectively situate the film in the social and creative contexts that informed Antonioni's screenplay and art direction - on the one hand through an account of the milieu of fashionable photographers and models and the media through which they became so vivid a phenomenon, and on the other hand through the revelation of the artistic and literary reference points that so pervasively enrich the film.
Blow-up Theories for Semilinear Parabolic Equations
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
The Resolution of Singular Algebraic Varieties
Resolution of Singularities has long been considered as being a difficult to access area of mathematics. The more systematic and simpler proofs that have appeared in the last few years in zero characteristic now give us a much better understanding of singularities. They reveal the aesthetics of both the logical structure of the proof and the various methods used in it. The present volume is intended for readers who are not yet experts but always wondered about the intricacies of resolution. As such, it provides a gentle and quite comprehensive introduction to this amazing field. The book may tempt the reader to enter more deeply into a topic where many mysteries--especially the positive characteristic case--await to be disclosed. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Free Energy and Self-Interacting Particles
* Examines a nonlinear system of parabolic PDEs arising in mathematical biology and statistical mechanics * Describes the whole picture, i.e., the mathematical and physical principles * Suitable for researchers and grad students in mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automatons, variational methods, and their applications to physics, chemistry, biology, and engineering
