Many-Body Boson Systems

Many-Body Boson Systems

Many-body Boson Systems: Half a Century Later offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between ideas of general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.

Many-Body Boson Systems

Modern Water Resources Engineering

Modern Water Resources Engineering

The Handbook of Environmental Engineering series is an incredible collection of methodologies that study the effects of pollution and waste in their three basic forms: gas, solid, and liquid. This exciting new addition to the series, Volume 15: Modern Water Resources Engineering , has been designed to serve as a water resources engineering reference book as well as a supplemental textbook. We hope and expect it will prove of equal high value to advanced undergraduate and graduate students, to designers of water resources systems, and to scientists and researchers. A critical volume in the Handbook of Environmental Engineering series, chapters employ methods of practical design and calculation illustrated by numerical examples, include pertinent cost data whenever possible, and explore in great detail the fundamental principles of the field. Volume 15: Modern Water Resources Engineering, provides information on some of the most innovative and ground-breaking advances in the field today from a panel of esteemed experts.

Modern Water Resources Engineering

Equivariant Degree Theory

Equivariant Degree Theory

This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties are derived. The next part is devoted to the study of equivariant homotopy groups of spheres and to the classification of equivariant maps in the case of abelian actions. These groups are explicitely computed and the effects of symmetry breaking, products and composition are thorougly studied. The last part deals with computations of the equivariant index of an isolated orbit and of an isolated loop of stationary points. Here differential equations in a variety of situations are considered: symmetry breaking, forcing, period doubling, twisted orbits, first integrals, gradients etc. Periodic solutions of Hamiltonian systems, in particular spring-pendulum systems, are studied as well as Hopf bifurcation for all these situations.

Equivariant Degree Theory

Means Without End

Means Without End

An essential reevaluation of the proper role of politics in contemporary life. In this critical rethinking of the categories of politics within a new sociopolitical and historical context, the distinguished political philosopher Giorgio Agamben builds on his previous work to address the status and nature of politics itself. Bringing politics face-to-face with its own failures of consciousness and consequence, Agamben frames his analysis in terms of clear contemporary relevance. He proposes, in his characteristically allusive and intriguing way, a politics of gesturea politics of means without end.Among the topics Agamben takes up are the ‘properly’ political paradigms of experience, as well as those generally not viewed as political. He begins by elaborating work on biopower begun by Foucault, returning the natural life of humans to the center of the polis and considering it as the very basis for politics. He then considers subjects such as the state of exception (the temporary suspension of the juridical order); the concentration camp (a zone of indifference between public and private and, at the same time, the secret matrix of the political space in which we live); the refugee, who, breaking the bond between the human and the citizen, moves from marginal status to the center of the crisis of the modern nation-state; and the sphere of pure means or gestures (those gestures that, remaining nothing more than means, liberate themselves from any relation to ends) as the proper sphere of politics. Attentive to the urgent demands of the political moment, as well as to the bankruptcy of political discourse, Agambens work brings politics back to life, and life back to politics.Giorgio Agamben teaches philosophy at the Collge International de Philosophie in Paris and at the University of Macerata in Italy. He is the author of Language and Death (1991), Stanzas (1992), and The Coming Community (1993), all published by the University of Minnesota Press.

Means Without End

Calculus For Dummies, 2nd Edition

Calculus For Dummies, 2nd Edition

Calculus For Dummies, 2nd Edition makes calculus manageable – even if you’re one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the ‘how’ and ‘why’ in plain English instead of math-speak. Through relevant instruction and practical examples, you’ll soon learn that real-life calculus isn’t nearly the monster it’s made out to be.

Calculus For Dummies, 2nd Edition