Download or read book The Callias Index Formula Revisited written by Fritz Gesztesy and published by Springer. This book was released on 2016-06-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970’s, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.
Download or read book Spectral Flow written by Nora Doll and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-06-19 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.
Download or read book Capital in the Twenty First Century written by Thomas Piketty and published by Harvard University Press. This book was released on 2017-08-14 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the grand dynamics that drive the accumulation and distribution of capital? Questions about the long-term evolution of inequality, the concentration of wealth, and the prospects for economic growth lie at the heart of political economy. But satisfactory answers have been hard to find for lack of adequate data and clear guiding theories. In this work the author analyzes a unique collection of data from twenty countries, ranging as far back as the eighteenth century, to uncover key economic and social patterns. His findings transform debate and set the agenda for the next generation of thought about wealth and inequality. He shows that modern economic growth and the diffusion of knowledge have allowed us to avoid inequalities on the apocalyptic scale predicted by Karl Marx. But we have not modified the deep structures of capital and inequality as much as we thought in the optimistic decades following World War II. The main driver of inequality--the tendency of returns on capital to exceed the rate of economic growth--today threatens to generate extreme inequalities that stir discontent and undermine democratic values if political action is not taken. But economic trends are not acts of God. Political action has curbed dangerous inequalities in the past, the author says, and may do so again. This original work reorients our understanding of economic history and confronts us with sobering lessons for today.
Download or read book Networks Crowds and Markets written by David Easley and published by Cambridge University Press. This book was released on 2010-07-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others.
Download or read book Progress in Physics vol 4 2016 written by Dmitri Rabounski and published by Infinite Study. This book was released on with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics
Download or read book Novikov Conjectures Index Theorems and Rigidity Volume 1 written by Steven C. Ferry and published by Cambridge University Press. This book was released on 1995-11-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.
Download or read book In Defense of Housing written by Peter Marcuse and published by Verso Books. This book was released on 2024-08-27 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In every major city in the world there is a housing crisis. How did this happen and what can we do about it? Everyone needs and deserves housing. But today our homes are being transformed into commodities, making the inequalities of the city ever more acute. Profit has become more important than social need. The poor are forced to pay more for worse housing. Communities are faced with the violence of displacement and gentrification. And the benefits of decent housing are only available for those who can afford it. In Defense of Housing is the definitive statement on this crisis from leading urban planner Peter Marcuse and sociologist David Madden. They look at the causes and consequences of the housing problem and detail the need for progressive alternatives. The housing crisis cannot be solved by minor policy shifts, they argue. Rather, the housing crisis has deep political and economic roots—and therefore requires a radical response.
Download or read book Narrative Discourse written by Gérard Genette and published by Cornell University Press. This book was released on 1980 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genette uses Proust's Remembrance of Things Past as a work to identify and name the basic constituents and techniques of narrative. Genette illustrates the examples by referring to other literary works. His systemic theory of narrative deals with the structure of fiction, including fictional devices that go unnoticed and whose implications fulfill the Western narrative tradition.
Download or read book Beyond Infinity written by Eugenia Cheng and published by Profile Books. This book was released on 2017-03-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Download or read book Choral Constructions in Greek Culture written by Deborah Tarn Steiner and published by Cambridge University Press. This book was released on 2021-04-22 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why did the Greeks of the archaic and early Classical period join in choruses that sang and danced on public and private occasions? This book offers a wide-ranging exploration of representations of chorality in the poetry, art and material remains of early Greece in order to demonstrate the centrality of the activity in the social, religious and technological practices of individuals and communities. Moving from a consideration of choral archetypes, among them cauldrons, columns, Gorgons, ships and halcyons, the discussion then turns to an investigation of how participation in choral song and dance shaped communal experience and interacted with a variety of disparate spheres that include weaving, cataloguing, temple architecture and inscribing. The study ends with a treatment of the role of choral activity in generating epiphanies and allowing viewers and participants access to realms that typically lie beyond their perception.
Download or read book Index of Conference Proceedings written by British Library. Document Supply Centre and published by . This book was released on 1999 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Luxury Arts of the Renaissance written by Marina Belozerskaya and published by Getty Publications. This book was released on 2005-10-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today we associate the Renaissance with painting, sculpture, and architecture—the “major” arts. Yet contemporaries often held the “minor” arts—gem-studded goldwork, richly embellished armor, splendid tapestries and embroideries, music, and ephemeral multi-media spectacles—in much higher esteem. Isabella d’Este, Marchesa of Mantua, was typical of the Italian nobility: she bequeathed to her children precious stone vases mounted in gold, engraved gems, ivories, and antique bronzes and marbles; her favorite ladies-in-waiting, by contrast, received mere paintings. Renaissance patrons and observers extolled finely wrought luxury artifacts for their exquisite craftsmanship and the symbolic capital of their components; paintings and sculptures in modest materials, although discussed by some literati, were of lesser consequence. This book endeavors to return to the mainstream material long marginalized as a result of historical and ideological biases of the intervening centuries. The author analyzes how luxury arts went from being lofty markers of ascendancy and discernment in the Renaissance to being dismissed as “decorative” or “minor” arts—extravagant trinkets of the rich unworthy of the status of Art. Then, by re-examining the objects themselves and their uses in their day, she shows how sumptuous creations constructed the world and taste of Renaissance women and men.
Download or read book Cumulated Index Medicus written by and published by . This book was released on 1976 with total page 1492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Athenaeum written by and published by . This book was released on 1918 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Athenaeum and Literary Chronicle written by James Silk Buckingham and published by . This book was released on 1918 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logistics Management and Strategy written by Alan Harrison and published by Pearson UK. This book was released on 2019 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Engineering a Safer World written by Nancy G. Leveson and published by MIT Press. This book was released on 2012-01-13 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to safety, based on systems thinking, that is more effective, less costly, and easier to use than current techniques. Engineering has experienced a technological revolution, but the basic engineering techniques applied in safety and reliability engineering, created in a simpler, analog world, have changed very little over the years. In this groundbreaking book, Nancy Leveson proposes a new approach to safety—more suited to today's complex, sociotechnical, software-intensive world—based on modern systems thinking and systems theory. Revisiting and updating ideas pioneered by 1950s aerospace engineers in their System Safety concept, and testing her new model extensively on real-world examples, Leveson has created a new approach to safety that is more effective, less expensive, and easier to use than current techniques. Arguing that traditional models of causality are inadequate, Leveson presents a new, extended model of causation (Systems-Theoretic Accident Model and Processes, or STAMP), then shows how the new model can be used to create techniques for system safety engineering, including accident analysis, hazard analysis, system design, safety in operations, and management of safety-critical systems. She applies the new techniques to real-world events including the friendly-fire loss of a U.S. Blackhawk helicopter in the first Gulf War; the Vioxx recall; the U.S. Navy SUBSAFE program; and the bacterial contamination of a public water supply in a Canadian town. Leveson's approach is relevant even beyond safety engineering, offering techniques for “reengineering” any large sociotechnical system to improve safety and manage risk.
