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A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.
First published in 1994. Routledge is an imprint of Taylor & Francis, an informa company.
Teaches every PHP developer how to increase the performance and functionality of PHP- based websites, programs and applications.
When Thomas Pak is hired as a clerk at a Korean grocery, he isn't prepared for the searing racial tensions that threaten to destroy the neighborhood in which he lives and works. His tenuous relationship with the store owners and their young daughter is jeopardized by his own conflicting affiliations of race and class, and these turbulent forces soon converge violently around in the form of a race riot. Thomas Keneally (Schindler's List) wrote of this book: Leonard Chang's vigorous tale is a drama of society's perpetual struggle for renewal and reconciliation. It is an elegant story of the zone of conflict between African and Asian Americans and, in the central character, the poignancy and contradictions of tribalism and fraternity are vividly proved. Library Journal: Chang's gift for unsentimental storytelling is indisputable. The Pacific Reader: The Fruit 'N Food is a thoroughly enjoyable, wonderfully written, socially relevant piece of contemporary fiction. Chang writes with simple elegance that immediately draws the reader in.
This monograph presents recent developments in quantum field theory at finite temperature. By using Lie groups, ideas from thermal theory are considered with concepts of symmetry, allowing for applications not only to quantum field theory but also to transport theory, quantum optics and statistical mechanics. This includes an analysis of geometrical and topological aspects of spatially confined systems with applications to the Casimir effect, superconductivity and phase transitions. Finally, some developments in open systems are also considered. The book provides a unified picture of the fundamental aspects in thermal quantum field theory and their applications, and is important to the field as a result, since it combines several diverse ideas that lead to a better understanding of different areas of physics.
This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.