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Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Chebotarev density theorem) apply even to nonabelian extensions. This book is an accessible introduction to class field theory. It takes a traditional approach in that it presents the global material first, using some of the original techniques of proof, but in a fashion that is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included exercises throughout the text. Professor Nancy Childress is a member of the Mathematics Faculty at Arizona State University.

Mathematics. --- Field Theory and Polynomials. --- Number Theory. --- Field theory (Physics). --- Number theory. --- Mathématiques --- Champs, Théorie des (Physique) --- Théorie des nombres --- Class field theory. --- Nombres, Théorie des --- Corps de classe

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In an attempt to improve, or replace, existing food processing methods, several novel technologies have been investigated. Some of these emerging technologies have become alternative means of developing new foods or improving the safety and quality of existing ones while reducing energy consumption for the food industry. Among all emerging nonthermal technologies, high intensity pulsed electric fields (PEF) is one of the most appealing due to its short treatment times and reduced heating effects. Its capability to enhance extraction processes and to inactivate microorganisms at temperatures that do not cause any deleterious effect on flavor, color or nutrient value of foods, opens interesting possibilities for the food processing industry. This book presents the information accumulated on PEF during the last 15 years by experienced microbiologists, biochemists, food technologists, and electrical and food engineers. It offers to anyone interested in this subject a comprehensive knowledge in this field. About the Editors: Javier Raso is a Professor of Food Technology at the University of Zaragoza in Spain. Volker Heinz is a Head of the German Institute of Food Technology at Quakenbrueck. .

Chemistry. --- Food Science. --- Food science. --- Chimie --- Electric fields -- Industrial applications. --- Food -- Preservation. --- Food --- Electric fields --- Radiation preservation of food --- Pulsed power systems --- Biomedical Engineering --- Chemical Engineering --- Chemical & Materials Engineering --- Health & Biological Sciences --- Engineering & Applied Sciences --- Preservation --- Industrial applications --- Preservation. --- Industrial applications. --- Food preservation --- Biotechnology. --- Field theory (Physics) --- Electromagnetic fields --- Food preservatives --- Science --- Food—Biotechnology. --- Food technology --- Chemical engineering

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The recent research domain of asteroseismology studies the internal structure of stars, which is not directly observable, through the interpretation of the frequency spectra of stellar oscillations. The basic principles of asteroseismology are very similar to those developed by earth seismologists. Stellar interiors can be probed from oscillations because different oscillation modes penetrate to different depths inside the star. Asteroseismology is the only available method to derive the internal structure of the stars with high precision.This book - the first on asteroseismology - offers a practical guide for graduate students and scientists working in stellar astrophysics. It provides a general introduction to asteroseismology and comprehensive coverage of all its aspects: fundamental theory, observations and observational techniques, methodology of data analysis and seismic interpretations of various classes of multi-periodic pulsating stars.

Physics. --- Astronomy, Astrophysics and Cosmology. --- Astronomy. --- Physique --- Astronomie --- Astroseismology. --- Astroseismology --- Astronomy & Astrophysics --- Astrophysics --- Astronomy - General --- Physical Sciences & Mathematics --- Astero-seismology --- Asteroseismology --- Astérosismologie. --- Gravitation. --- Astrophysics. --- Cosmology. --- Space sciences. --- Astrophysics and Astroparticles. --- Extraterrestrial Physics, Space Sciences. --- Classical and Quantum Gravitation, Relativity Theory. --- Physical sciences --- Space sciences --- Extraterrestrial seismology --- Stellar oscillations --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Science and space --- Space research --- Cosmology --- Science --- Properties

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This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.
 

Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory,  hypercomplex analysis, and mathematical physics.

Field theory (Physics). --- Function spaces. --- Functional analysis. --- Lp spaces. --- Noncommutative function spaces. --- Functional analysis --- Functions of complex variables --- Operator theory --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Non-commutative function spaces --- Functional calculus --- Spaces, Lp --- Spaces, Function --- Mathematics. --- Functions of complex variables. --- Operator theory. --- Operator Theory. --- Functional Analysis. --- Functions of a Complex Variable. --- Calculus of variations --- Functional equations --- Integral equations --- Function spaces --- Complex variables --- Elliptic functions --- Functions of real variables

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Pulsars are rapidly spinning neutron stars, the collapsed cores of once massive stars that ended their lives as supernova explosions. In this book, Geoff McNamara explores the history, subsequent discovery and contemporary research into pulsar astronomy. The story of pulsars is brought right up to date with the announcement in 2006 of a new breed of pulsar, Rotating Radio Transients (RRATs), which emit short bursts of radio signals separated by long pauses. These may outnumber conventional radio pulsars by a ratio of four to one. Geoff McNamara ends by pointing out that, despite the enormous success of pulsar research in the second half of the twentieth century, the real discoveries are yet to be made including, perhaps, the detection of the hypothetical pulsar black hole binary system by the proposed Square Kilometre Array - the largest single radio telescope in the world.

Popular Science. --- Popular Science in Astronomy. --- Astronomy, Astrophysics and Cosmology. --- Astronomy. --- Relativity and Cosmology. --- Science (General). --- Relativity (Physics). --- Astronomie --- Relativité (Physique) --- Pulsars. --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Astronomy - General --- Astrophysics --- Radiation sources. --- Sources of radiation --- Pulsating radio sources --- Popular works. --- Gravitation. --- Astrophysics. --- Cosmology. --- Observations, Astronomical. --- Astronomy --- Astronomy, Observations and Techniques. --- Classical and Quantum Gravitation, Relativity Theory. --- Observations. --- Astronomical observations --- Observations, Astronomical --- Deism --- Metaphysics --- Astronomical physics --- Cosmic physics --- Physics --- Physical sciences --- Space sciences --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties --- Quantum optics --- Radiation --- Radiation sources --- Neutron stars --- Astronomy—Observations.