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This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.
xxxxx proposes a radical, new space for artistic exploration, with essential contributions from a diverse range of artists, theorists, and scientists. Combining intense background material, code listings, screenshots, new translation, [the] xxxxx [reader] functions as both guide and manifesto for a thought movement which is radically opposed to entropic contemporary economies. xxxxx traces a clear line across eccentric and wide ranging texts under the rubric of life coding which can well be contrasted with the death drive of cynical economy with roots in rationalism and enlightenment thought. Such philosophy, world as machine, informs its own deadly flipside embedded within language and technology. xxxxx totally unpicks this hiroshimic engraving, offering an dandyish alternative by way of deep examination of software and substance. Life coding is primarily active, subsuming deprecated psychogeography in favour of acute wonderland technology, wary of any assumed transparency. Texts such as Endonomadology, a text from celebrated biochemist and chaos theory pioneer Otto E. Roessler, who features heavily throughout this intense volume, make plain the sadistic nature and active legacy of rationalist thought. At the same time, through the science of endophysics, a physics from the inside elaborated here, a delicate theory of the world as interface is proposed. xxxxx is very much concerned with the joyful elaboration of a new real; software-led propositions which are active and constructive in eviscerating contemporary economic culture. xxxxx embeds Perl Routines to Manipulate London, by way of software artist and Mongrel Graham Harwood, a Universal Dovetailer in the Lisp language from AI researcher Bruno Marchal rewriting the universe as code, and self explanatory Pornographic Coding from plagiarist and author Stewart Home and code art guru Florian Cramer. Software is treated as magical, electromystical, contrasting with the tedious GUI desktop applications and user-led drudgery expressed within a vast ghost-authored literature which merely serves to rehearse again and again the demands of industry and economy. Key texts, which well explain the magic and sheer art of programming for the absolute beginner are published here. Software subjugation is made plain within the very title of media theorist Friedrich Kittler's essay Protected Mode, published in this volume. Media, technology and destruction are further elaborated across this work in texts such as War.pl, Media and Drugs in Pynchon's Second World War, again from Kittler, and Simon Ford's elegant take on J.G Ballard's crashed cars exhibition of 1970, A Psychopathic Hymn. Software and its expansion stand in obvious relation to language. Attacking transparency means examining the prison cell or virus of language; life coding as William Burrough's cutup. And perhaps the most substantial and thorough-going examination is put forward by daring Vienna actionist Oswald Wiener in his Notes on the Concept of the Bio-adapter which has been thankfully unearthed here. Equally, Olga Goriunova's extensive examination of a new Russian literary trend, the online male literature of udaff.com provides both a reexamination of culture and language, and an example of the diversity of xxxxx; a diversity well reflected in background texts ranging across subjects such as Leibniz' monadology, the ur-crash of supreme flaneur Thomas de Quincey and several rewritings of the forensic model of Jack the Ripper thanks to Stewart Home and Martin Howse. xxxxx liberates software from the machinic, and questions the transparency of language, proposing a new world view, a sheer electromysticism which is well explained with reference to the works of Thomas Pynchon in Friedrich Kittler's essay, translated for the first time into English, which closes xxxxx. Further contributors include Hal Abelson, Leif Elggren, Jonathan Kemp, Aymeric Mansoux, and socialfiction.org.
Computational complexity theory is the study of the quantitative laws that govern computing. This book contains the proceedings of the AMS Short Course on Computational Complexity Theory, held at the Joint Mathematics Meetings in Atlanta in January 1988.
Suitable for students and researchers in commutative algebra, algebraic geometry, and neighboring disciplines, this book introduces various sheaves of differential forms for equidimensional morphisms of finite type between noetherian schemes, the most important being the sheaf of regular differential forms.
In the face of today's environmental and economic challenges, doomsayers preach that the only way to stave off disaster is for humans to reverse course: to de-industrialize, re-localize, ban the use of modern energy sources, and forswear prosperity. But in this provocative and optimistic rebuke to the catastrophists, Robert Bryce shows how innovation and the inexorable human desire to make things Smaller Faster Lighter Denser Cheaper is providing consumers with Cheaper and more abundant energy, Faster computing, Lighter vehicles, and myriad other goods. That same desire is fostering unprecedented prosperity, greater liberty, and yes, better environmental protection. Utilizing on-the-ground reporting from Ottawa to Panama City and Pittsburgh to Bakersfield, Bryce shows how we have, for centuries, been pushing for Smaller Faster solutions to our problems. From the vacuum tube, mass-produced fertilizer, and the printing press to mobile phones, nanotech, and advanced drill rigs, Bryce demonstrates how cutting-edge companies and breakthrough technologies have created a world in which people are living longer, freer, healthier, lives than at any time in human history. The push toward Smaller Faster Lighter Denser Cheaper is happening across multiple sectors. Bryce profiles innovative individuals and companies, from long-established ones like Ford and Intel to upstarts like Aquion Energy and Khan Academy. And he zeroes in on the energy industry, proving that the future belongs to the high power density sources that can provide the enormous quantities of energy the world demands. The tools we need to save the planet aren't to be found in the technologies or lifestyles of the past. Nor must we sacrifice prosperity and human progress to ensure our survival. The catastrophists have been wrong since the days of Thomas Malthus. This is the time to embrace the innovators and businesses all over the world who are making things Smaller Faster Lighter Denser Cheaper.
Real Analysis and Applications starts with a streamlined, but complete approach to real analysis. It finishes with a wide variety of applications in Fourier series and the calculus of variations, including minimal surfaces, physics, economics, Riemannian geometry, and general relativity. The basic theory includes all the standard topics: limits of sequences, topology, compactness, the Cantor set and fractals, calculus with the Riemann integral, a chapter on the Lebesgue theory, sequences of functions, infinite series, and the exponential and Gamma functions. The applications conclude with a computation of the relativistic precession of Mercury's orbit, which Einstein called "convincing proof of the correctness of the theory [of General Relativity]." The text not only provides clear, logical proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a text which makes it possible to do the full theory and significant applications in one semester. Frank Morgan is the author of six books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this applied version of his Real Analysis text, Morgan brings his famous direct style to the growing numbers of potential mathematics majors who want to see applications right along with the theory.