Some Aspects of Local Fields
| Author | : Akram Lbekkouri |
| Publisher | : |
| Total Pages | : 196 |
| Release | : 2017-01-09 |
| Genre | : |
| ISBN | : 9783330020740 |
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Local Fields and Their Extensions
| Author | : Ivan B. Fesenko |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 364 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821872734 |
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This edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor $K$-groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition.
Local Fields
| Author | : Jean-Pierre Serre |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 249 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475756739 |
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The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation". The chapters are grouped in "parts". There are three preliminary parts: the first two on the general theory of local fields, the third on group coho mology. Local class field theory, strictly speaking, does not appear until the fourth part. Here is a more precise outline of the contents of these four parts: The first contains basic definitions and results on discrete valuation rings, Dedekind domains (which are their "globalisation") and the completion process. The prerequisite for this part is a knowledge of elementary notions of algebra and topology, which may be found for instance in Bourbaki. The second part is concerned with ramification phenomena (different, discriminant, ramification groups, Artin representation). Just as in the first part, no assumptions are made here about the residue fields. It is in this setting that the "norm" map is studied; I have expressed the results in terms of "additive polynomials" and of "multiplicative polynomials", since using the language of algebraic geometry would have led me too far astray.
The Service Sheet
| Author | : New York State College of Agriculture |
| Publisher | : |
| Total Pages | : 200 |
| Release | : 1919 |
| Genre | : |
| ISBN | : |
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Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics
| Author | : Julio Antonio Gonzalo |
| Publisher | : World Scientific |
| Total Pages | : 469 |
| Release | : 2006 |
| Genre | : Technology & Engineering |
| ISBN | : 9812773126 |
Download Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics Book in PDF, ePub and Kindle
This book begins by introducing the effective field approach, the simplest approach to phase transitions. It provides an intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's theory is stressed. The main coverage is devoted to specific applications of the effective field concept to ferroelectric systems, both hydrogen bonded ferroelectrics, like those in the TGS family, and oxide ferroelectrics, like pure and mixed perovskites. Sample Chapter(s). Chapter 1: An Overview (310 KB). Contents: Mean Field Approach to Cooperative Phenomena; Some Applications to Ferroelectrics: 1970OCo1991; Some Applications to Ferroelectrics: 1991OCo1997; Some Applications to Ferroelectrics: 1998OCo2005. Readership: Materials scientists, physicists and chemists in academy and industry; final year undergraduates and graduates in materials science."
Effective Field Approach To Phase Transitions And Some Applications To Ferroelectrics (2nd Edition)
| Author | : Julio A Gonzalo |
| Publisher | : World Scientific |
| Total Pages | : 469 |
| Release | : 2006-08-24 |
| Genre | : Technology & Engineering |
| ISBN | : 9814477508 |
Download Effective Field Approach To Phase Transitions And Some Applications To Ferroelectrics (2nd Edition) Book in PDF, ePub and Kindle
This book begins by introducing the effective field approach, the simplest approach to phase transitions. It provides an intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's theory is stressed.The main coverage is devoted to specific applications of the effective field concept to ferroelectric systems, both hydrogen bonded ferroelectrics, like those in the TGS family, and oxide ferroelectrics, like pure and mixed perovskites.
Local Fields and Their Extensions
| Author | : Ivan B. Fesenko |
| Publisher | : |
| Total Pages | : 362 |
| Release | : 1993 |
| Genre | : Algebraic fields |
| ISBN | : 9781470446642 |
Download Local Fields and Their Extensions Book in PDF, ePub and Kindle
This book offers a modern presentation of local fields whose spectacular development was initiated almost one hundred years ago by K. Hensel. The volume consists of nine chapters divided into four parts: arithmetic properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor K-groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition. This second edition contains about sixty additional pages reflecting several aspects of the developments in.
Fourier Analysis on Number Fields
| Author | : Dinakar Ramakrishnan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 372 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475730853 |
Download Fourier Analysis on Number Fields Book in PDF, ePub and Kindle
A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries -- technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.
Flow-field and Drag Characteristics of Several Boundary-layer Tripping Elements in Hypersonic Flow
| Author | : Allen H. Whitehead (Jr.) |
| Publisher | : |
| Total Pages | : 44 |
| Release | : 1969 |
| Genre | : Aerodynamics, Hypersonic |
| ISBN | : |
Download Flow-field and Drag Characteristics of Several Boundary-layer Tripping Elements in Hypersonic Flow Book in PDF, ePub and Kindle
Flow field and drag characteristics of several laminar boundary layer tripping element in hypersonic flow.
Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics
| Author | : Julio A Gonzalo |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 238 |
| Release | : 1991-05-07 |
| Genre | : Science |
| ISBN | : 9813104376 |
Download Effective Field Approach to Phase Transitions and Some Applications to Ferroelectrics Book in PDF, ePub and Kindle
The first half of the book presents the effective field approach, which is certainly the simplest approach to investigate cooperative phenomena and the accompanying phase transitions. It provides a common, intuitive approximation to the physics of such diverse phenomena as liquid-vapor transitions, ferromagnetism, superconductivity, order-disorder in alloys, ferroelectricity, superfluidity and ferroelasticity. The connection between the effective field approach and Landau's phenomenological theory is stressed. The latter half is devoted to some specific applications of the effective field concept to ferroelectric systems. Contents:Mean Field Approach to Cooperative Phenomena:An OverviewLiquid-Vapour TransitionsFerromagnetic TransitionsSuperconductive TransitionsOrder-Disorder Transitions in AlloysFerroelectric TransitionsSuperfluid TransitionsFerroelastic TransitionsLandau Theory and Effective Field Approach. Role of FluctuationsEquation of State and the Scaling FunctionAppendix: Effective Field Approach to Superconductors and SuperfluidsSome Application to Ferroelectric Systems:Behaviour at T ≊ Tc of Pure Ferroelectric Systems with Second-Order Phase TransitionEffects of Dipolar Impurities in Small AmountsMixed Ferro-Antiferroelectric Systems and other Mixed Ferroelectric SystemsComments on “Ferroelectricity in Zinc Cadmium Telluride“ Relaxation Phenomena near TcPolarization Reversal in Ferroelectric SystemsPolarization Switching by Domain Wall MotionSwitching Current Pulse ShapeElementary Excitations in Ferroelectrics: Dipole WavesLow Temperature Behaviour of FerroelectricsLogarithmic Corrections Readership: Condensed matter physicists, statistical physicists and physical chemists.
