Local Fields And Their Extensions Second Edition

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Local Fields and Their Extensions: Second Edition

Author : Ivan B. Fesenko
Publisher : American Mathematical Soc.
ISBN 13 : 082183259X
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Local Fields and Their Extensions: Second Edition by : Ivan B. Fesenko

Download or read book Local Fields and Their Extensions: Second Edition written by Ivan B. Fesenko and published by American Mathematical Soc.. This book was released on 2002-07-17 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years since the publication of the first edition, and, according to Mathematical Reviews, 1,000 papers on local fields have been published during that period. 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 -groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition. The book includes the following recent topics: Fontaine-Wintenberger theory of arithmetically profinite extensions and fields of norms, explicit noncohomological approach to the reciprocity map with a review of all other approaches to local class field theory, Fesenko's -class field theory for local fields with perfect residue field, simplified updated presentation of Vostokov's explicit formulas for the Hilbert norm residue symbol, and Milnor -groups of local fields. Numerous exercises introduce the reader to other important recent results in local number theory, and an extensive bibliography provides a guide to related areas.

Local Fields and Their Extensions

Author : Ivan B. Fesenko
Publisher :
ISBN 13 : 9781470446642
Total Pages : 362 pages
Book Rating : 4.4/5 (466 download)

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Book Synopsis Local Fields and Their Extensions by : Ivan B. Fesenko

Download or read book Local Fields and Their Extensions written by Ivan B. Fesenko and published by . This book was released on 1993 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Local Fields

Author : Jean-Pierre Serre
Publisher : Springer Science & Business Media
ISBN 13 : 1475756739
Total Pages : 249 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Local Fields by : Jean-Pierre Serre

Download or read book Local Fields written by Jean-Pierre Serre and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Some Aspects of Local Fields

Author : Akram Lbekkouri
Publisher :
ISBN 13 : 9783330020740
Total Pages : 196 pages
Book Rating : 4.0/5 (27 download)

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Book Synopsis Some Aspects of Local Fields by : Akram Lbekkouri

Download or read book Some Aspects of Local Fields written by Akram Lbekkouri and published by . This book was released on 2017-01-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Class Field Theory

Author : Emil Artin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869512
Total Pages : 206 pages
Book Rating : 4.8/5 (695 download)

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Book Synopsis Class Field Theory by : Emil Artin

Download or read book Class Field Theory written by Emil Artin and published by American Mathematical Soc.. This book was released on 1968 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory ... In this revised edition, two mathematical additions complementing the exposition of the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.

Topics in the Theory of Algebraic Function Fields

Author : Gabriel Daniel Villa Salvador
Publisher : Springer Science & Business Media
ISBN 13 : 0817645152
Total Pages : 658 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Topics in the Theory of Algebraic Function Fields by : Gabriel Daniel Villa Salvador

Download or read book Topics in the Theory of Algebraic Function Fields written by Gabriel Daniel Villa Salvador and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.

New Horizons in pro-p Groups

Author : Marcus du Sautoy
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641719
Total Pages : 444 pages
Book Rating : 4.6/5 (417 download)

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Book Synopsis New Horizons in pro-p Groups by : Marcus du Sautoy

Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2000-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

Publications mathématiques de Besançon N° 1/2010

Author : Patrick Hild
Publisher : Presses Univ. Franche-Comté
ISBN 13 : 284867282X
Total Pages : 203 pages
Book Rating : 4.8/5 (486 download)

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Book Synopsis Publications mathématiques de Besançon N° 1/2010 by : Patrick Hild

Download or read book Publications mathématiques de Besançon N° 1/2010 written by Patrick Hild and published by Presses Univ. Franche-Comté. This book was released on 2010-03 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Gentle Course in Local Class Field Theory

Author : Pierre Guillot
Publisher : Cambridge University Press
ISBN 13 : 1108421776
Total Pages : 309 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis A Gentle Course in Local Class Field Theory by : Pierre Guillot

Download or read book A Gentle Course in Local Class Field Theory written by Pierre Guillot and published by Cambridge University Press. This book was released on 2018-11 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained exposition of local class field theory for students in advanced algebra.

Fields and Rings

Author : Irving Kaplansky
Publisher : University of Chicago Press
ISBN 13 : 0226424510
Total Pages : 217 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis Fields and Rings by : Irving Kaplansky

Download or read book Fields and Rings written by Irving Kaplansky and published by University of Chicago Press. This book was released on 1972 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules. "In all three parts of this book the author lives up to his reputation as a first-rate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease."—A. Rosenberg, Mathematical Reviews

Number Fields

Author : Daniel A. Marcus
Publisher : Springer
ISBN 13 : 3319902334
Total Pages : 213 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Number Fields by : Daniel A. Marcus

Download or read book Number Fields written by Daniel A. Marcus and published by Springer. This book was released on 2018-07-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.

Gold Nanoparticles For Physics, Chemistry And Biology (Second Edition)

Author : Catherine Louis
Publisher : World Scientific
ISBN 13 : 1786341263
Total Pages : 681 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Gold Nanoparticles For Physics, Chemistry And Biology (Second Edition) by : Catherine Louis

Download or read book Gold Nanoparticles For Physics, Chemistry And Biology (Second Edition) written by Catherine Louis and published by World Scientific. This book was released on 2017-06-02 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gold Nanoparticles for Physics, Chemistry and Biology offers an overview of recent research into gold nanoparticles, covering their discovery, usage and contemporary practical applications.This Second Edition begins with a history of over 2000 years of the use of gold nanoparticles, with a review of the specific properties which make gold unique. Updated chapters include gold nanoparticle preparation methods, their plasmon resonance and thermo-optical properties, their catalytic properties and their future technological applications. New chapters have been included, and reveal the growing impact of plasmonics in research, with an introduction to quantum plasmonics, plasmon assisted catalysis and electro-photon conversion. The growing field of nanoparticles for health is also addressed with a study of gold nanoparticles as radiosensibiliser for radiotherapy, and of gold nanoparticle functionalisation. This new edition also considers the relevance of bimetallic nanoparticles for specific applications.World-class scientists provide the most up-to-date findings for an introduction to gold nanoparticles within the related areas of chemistry, biology, material science, optics and physics. It is perfectly suited to advanced level students and researchers looking to enhance their knowledge in the study of gold nanoparticles.

Doing Mathematics: Convention, Subject, Calculation, Analogy (2nd Edition)

Author : Martin H Krieger
Publisher : World Scientific
ISBN 13 : 9814571865
Total Pages : 492 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Doing Mathematics: Convention, Subject, Calculation, Analogy (2nd Edition) by : Martin H Krieger

Download or read book Doing Mathematics: Convention, Subject, Calculation, Analogy (2nd Edition) written by Martin H Krieger and published by World Scientific. This book was released on 2015-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics — what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see 'an identity in a manifold presentation of profiles,' as the phenomenologists would say.This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an 'ugly' first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.

Biomedical Technology and Devices, Second Edition

Author : James E. Moore Jr
Publisher : CRC Press
ISBN 13 : 1439859590
Total Pages : 823 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Biomedical Technology and Devices, Second Edition by : James E. Moore Jr

Download or read book Biomedical Technology and Devices, Second Edition written by James E. Moore Jr and published by CRC Press. This book was released on 2013-06-25 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical Technology and Devices, Second Edition focuses on the equipment, devices, and techniques used in modern medicine to diagnose, treat, and monitor human illnesses. Gathering together and compiling the latest information available on medical technology, this revised work adds ten new chapters. It starts with the basics, introducing the history of the thermometer and measuring body temperature, before moving on to a medley of devices that are far more complex. This book explores diverse technological functions and procedures including signal processing, auditory systems, magnetic resonance imaging, ultrasonic and emission imaging, image-guided thermal therapy, medical robotics, shape memory alloys, biophotonics, and tissue engineering. Each chapter offers a description of the technique, its technical considerations, and its use according to its applications and relevant body systems. It can be used as a professional resource, as well as a textbook for undergraduate and graduate students.

Valued Fields

Author : Antonio J. Engler
Publisher : Springer Science & Business Media
ISBN 13 : 354030035X
Total Pages : 210 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Valued Fields by : Antonio J. Engler

Download or read book Valued Fields written by Antonio J. Engler and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Absolute values and their completions – such as the p-adic number fields – play an important role in number theory. Krull's generalization of absolute values to valuations made possible applications in other branches of mathematics. In valuation theory, the notion of completion must be replaced by that of "Henselization". This book develops the theory of valuations as well as of Henselizations, based on the skills of a standard graduate course in algebra.

Encyclopedia of Library and Information Science, Second Edition -

Author : Miriam Drake
Publisher : CRC Press
ISBN 13 : 9780824720773
Total Pages : 922 pages
Book Rating : 4.7/5 (27 download)

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Book Synopsis Encyclopedia of Library and Information Science, Second Edition - by : Miriam Drake

Download or read book Encyclopedia of Library and Information Science, Second Edition - written by Miriam Drake and published by CRC Press. This book was released on 2003-05-20 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revitalized version of the popular classic, the Encyclopedia of Library and Information Science, Second Edition targets new and dynamic movements in the distribution, acquisition, and development of print and online media-compiling articles from more than 450 information specialists on topics including program planning in the digital era, recruitment, information management, advances in digital technology and encoding, intellectual property, and hardware, software, database selection and design, competitive intelligence, electronic records preservation, decision support systems, ethical issues in information, online library instruction, telecommuting, and digital library projects.

On the Extension of the English Coal-fields, Beneath the Secondary Formations of the Midland Counties. Also, Does Coal Exist Near London? Geologically Considered

Download On the Extension of the English Coal-fields, Beneath the Secondary Formations of the Midland Counties. Also, Does Coal Exist Near London? Geologically Considered PDF Online Free

Author : Joseph Holdsworth (M.G.S.F.)
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.V/5 ( download)

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Book Synopsis On the Extension of the English Coal-fields, Beneath the Secondary Formations of the Midland Counties. Also, Does Coal Exist Near London? Geologically Considered by : Joseph Holdsworth (M.G.S.F.)

Download or read book On the Extension of the English Coal-fields, Beneath the Secondary Formations of the Midland Counties. Also, Does Coal Exist Near London? Geologically Considered written by Joseph Holdsworth (M.G.S.F.) and published by . This book was released on 1866 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: