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Heat Conduction Using Greens Functions


Heat Conduction Using Greens Functions

Author: Kevin Cole

language: en

Publisher: CRC Press

Release Date: 2010-07-16


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Since its publication more than 15 years ago, Heat Conduction Using Green’s Functions has become the consummate heat conduction treatise from the perspective of Green’s functions—and the newly revised Second Edition is poised to take its place. Based on the authors’ own research and classroom experience with the material, this book organizes the solution of heat conduction and diffusion problems through the use of Green’s functions, making these valuable principles more accessible. As in the first edition, this book applies extensive tables of Green’s functions and related integrals, and all chapters have been updated and revised for the second edition, many extensively. Details how to access the accompanying Green’s Function Library site, a useful web-searchable collection of GFs based on the appendices in this book The book reflects the authors’ conviction that although Green’s functions were discovered in the nineteenth century, they remain directly relevant to 21st-century engineers and scientists. It chronicles the authors’ continued search for new GFs and novel ways to apply them to heat conduction. New features of this latest edition— Expands the introduction to Green’s functions, both steady and unsteady Adds a section on the Dirac Delta Function Includes a discussion of the eigenfunction expansion method, as well as sections on the convergence speed of series solutions, and the importance of alternate GF Adds a section on intrinsic verification, an important new tool for obtaining correct numerical values from analytical solutions A main goal of the first edition was to make GFs more accessible. To facilitate this objective, one of the authors has created a companion Internet site called the Green’s Function Library, a web-searchable collection of GFs. Based on the appendices in this book, this library is organized by differential equation, geometry, and boundary condition. Each GF is also identified and cataloged according to a GF numbering system. The library also contains explanatory material, references, and links to related sites, all of which supplement the value of Heat Conduction Using Green’s Functions, Second Edition as a powerful tool for understanding.

Proceedings of the Conference, Progress in Nonequilibrium Green's Functions, Dresden, Germany, 19-23 August 2002


Proceedings of the Conference, Progress in Nonequilibrium Green's Functions, Dresden, Germany, 19-23 August 2002

Author: Michael Bonitz

language: en

Publisher: World Scientific

Release Date: 2003


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Equilibrium and nonequilibrium properties of correlated many-body systems are of growing interest in many areas of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which is equally applied to all these areas is given by quantum field theory. This book provides an overview of the basic ideas and concepts of the method of nonequilibrium Green''s functions, written by the leading experts and presented in a way accessible to non-specialists and graduate students. It is complemented by invited review papers on modern applications of the method to a variety of topics, such as optics and quantum transport in semiconductors; superconductivity; strong field effects, QCD, and state-of-the-art computational concepts OCo from Green''s functions to quantum Monte Carlo and time-dependent density functional theory.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)"

The 'Puritan' Democracy of Thomas Hill Green


The 'Puritan' Democracy of Thomas Hill Green

Author: Alberto de Sanctis

language: en

Publisher: Andrews UK Limited

Release Date: 2016-12-15


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The central concern of this book is to demonstrate how Puritanism was a theme which ran through all Green's biography and political philosophy. It thereby reveals how Green's connections with Evangelicalism and his known affinities with religious dissent came from his way of conceiving Puritanism. In Green’s eyes, its anti-formalist viewpoint made Puritanism the most suitable tool for avoiding the drawbacks of democracy. The key objective of the book is to illustrate how the philosophy elaborated by Green aimed to encapsulate the best of Puritanism whilst eschewing the dangerous abstractions of both Puritan philosophy and German idealism. It follows that Green’s conception of positive and negative freedom, and his vision of political obligation, stemmed from his effort to revive the Puritan heritage rather than from an ambiguous flirtation with idealism. The book purports to show how the influence of Puritanism in Green’s political thought is an element which can help to integrate the literature in the area, contributing to a better comprehension of a philosopher who, despite being unanimously considered as the founder of the so-called Oxford idealist school, had a very difficult and sometimes obscure connection with idealism. It has been widely argued that Green’s relationship with idealism seemed to be infected by a religious germ which, because it was unrelated to German idealism, gave it a bad taste. This study aims to encourage further investigation into the nature and propagation of that germ in the British idealist School.