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Topological Fields And Near Valuations

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Topological Fields And Near Valuations

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Author : niel shell
language : en
Publisher: CRC Press
Release Date : 1990-06-12

Topological Fields And Near Valuations written by niel shell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-12 with Mathematics categories.

Part I (eleven chapters) of this text for graduate students provides a Survey of topological fields, while Part II (five chapters) provides a relatively more idiosyncratic account of valuation theory. No exercises but a good number of examples; appendices support the author in his intent, which ha

Topological Fields And Near Valuations

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Author : Niel Shell
language : en
Publisher: CRC Press
Release Date : 2021-06-23

Topological Fields And Near Valuations written by Niel Shell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.

Topological Fields

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Author : S. Warner
language : en
Publisher: Elsevier
Release Date : 1989-06-01

Topological Fields written by S. Warner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-01 with Mathematics categories.

Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.

Encyclopedia Of General Topology

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Author : K.P. Hart
language : en
Publisher: Elsevier
Release Date : 2003-11-18

Encyclopedia Of General Topology written by K.P. Hart and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-18 with Mathematics categories.

This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.Key features:• More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms

P Adic Function Analysis

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Author : Bayod
language : en
Publisher: CRC Press
Release Date : 2020-12-17

P Adic Function Analysis written by Bayod and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.

"Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "

Elementary Boundary Value Problems

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Author : Theodore A. Bick
language : en
Publisher: CRC Press
Release Date : 1993-02-17

Elementary Boundary Value Problems written by Theodore A. Bick and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-17 with Mathematics categories.

This textbook elucidates the role of BVPs as models of scientific phenomena, describes traditional methods of solution and summarizes the ideas that come from the solution techniques, centering on the concept of orthonormal sets of functions as generalizations of the trigonometric functions. To reinforce important concepts, the book contains exercises that range in difficulty from routine applications of the material just covered to extensions of that material.;Emphasizing the unifying nature of the material, this book: constructs physical models for both bounded and unbounded domains using rectangular and other co-ordinate systems; develops methods of characteristics, eigenfunction expansions, and transform procedures using the traditional fourier series, D'Alembert's method , and fourier integral transforms; makes explicit connections with linear algebra, analysis, complex variables, set theory, and topology in response to the need to solve BVP's employing Sturm-Liouville ststems as the primary vehicle; and presents illustrative examples in science and engineering, such as versions of the wave, diffusion equations and Laplace's equations.;Providing fundamental definitions for students with no prior experience in this topic other than differential equations, this text is intended as a resource for upper-level undergraduates in mathematics, physics and engineering, and students on courses on boundary value problems.

The Classical Fields

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Author : H. Salzmann
language : en
Publisher: Cambridge University Press
Release Date : 2007-08-23

The Classical Fields written by H. Salzmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-23 with Mathematics categories.

The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.

Introductory Theory Of Topological Vector Spates

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Author : Yau-Chuen Wong
language : en
Publisher: Routledge
Release Date : 2019-01-25

Introductory Theory Of Topological Vector Spates written by Yau-Chuen Wong and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-25 with Mathematics categories.

This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Topological Rings Satisfying Compactness Conditions

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Author : M. Ursul
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topological Rings Satisfying Compactness Conditions written by M. Ursul and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Introduction In the last few years a few monographs dedicated to the theory of topolog ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM]. Ring theory can be viewed as a particular case of Z-algebras. Many general results true for rings can be extended to algebras over commutative rings. In topological algebra the structure theory for two classes of topological algebras is well developed: Banach algebras; and locally compact rings. The theory of Banach algebras uses results of Banach spaces, and the theory of locally compact rings uses the theory of LCA groups. As far as the author knows, the first papers on the theory of locally compact rings were [Pontr1]' [J1], [J2], [JT], [An], lOt], [K1]' [K2]' [K3], [K4], [K5], [K6]. Later two papers, [GS1,GS2]appeared, which contain many results concerning locally compact rings. This book can be used in two w.ays. It contains all necessary elementary results from the theory of topological groups and rings. In order to read these parts of the book the reader needs to know only elementary facts from the theories of groups, rings, modules, topology. The book consists of two parts.

General Topology And Applications

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Author : Susan J. Andima
language : en
Publisher: CRC Press
Release Date : 2020-08-26

General Topology And Applications written by Susan J. Andima and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.

This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island – The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.

Topological Fields And Near Valuations

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