Topological Fields and Near Valuations

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Publisher : CRC Press
ISBN 13 : 1000444791
Total Pages : 256 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Topological Fields and Near Valuations by : Niel Shell

Download or read book Topological Fields and Near Valuations written by Niel Shell and published by CRC Press. This book was released on 2021-06-23 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Fields

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Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Topological Fields by : Witold Więsław

Download or read book Topological Fields written by Witold Więsław and published by . This book was released on 1988 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Fields

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Publisher : Elsevier
ISBN 13 : 9780080872681
Total Pages : 562 pages
Book Rating : 4.8/5 (726 download)

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Book Synopsis Topological Fields by : S. Warner

Download or read book Topological Fields written by S. Warner and published by Elsevier. This book was released on 1989-06-01 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Classical Fields

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Publisher : Cambridge University Press
ISBN 13 : 0521865166
Total Pages : 418 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Classical Fields by : H. Salzmann

Download or read book The Classical Fields written by H. Salzmann and published by Cambridge University Press. This book was released on 2007-08-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : CRC Press
ISBN 13 : 9780824787790
Total Pages : 442 pages
Book Rating : 4.7/5 (877 download)

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Book Synopsis Introductory Theory of Topological Vector SPates by : Yau-Chuen Wong

Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong and published by CRC Press. This book was released on 1992-08-25 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer Science & Business Media
ISBN 13 : 9401002495
Total Pages : 335 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Topological Rings Satisfying Compactness Conditions by : M. Ursul

Download or read book Topological Rings Satisfying Compactness Conditions written by M. Ursul and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Geometry with Applications to Mechanics and Physics

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Publisher : CRC Press
ISBN 13 : 1482290006
Total Pages : 476 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Differential Geometry with Applications to Mechanics and Physics by : Yves Talpaert

Download or read book Differential Geometry with Applications to Mechanics and Physics written by Yves Talpaert and published by CRC Press. This book was released on 2000-09-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential

Hopf Algebra

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Publisher : CRC Press
ISBN 13 : 1482270749
Total Pages : 420 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Hopf Algebra by : Sorin Dascalescu

Download or read book Hopf Algebra written by Sorin Dascalescu and published by CRC Press. This book was released on 2000-09-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.

C* - Algebras and Numerical Analysis

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Publisher : CRC Press
ISBN 13 : 9780824704605
Total Pages : 388 pages
Book Rating : 4.7/5 (46 download)

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Book Synopsis C* - Algebras and Numerical Analysis by : Ronald Hagen

Download or read book C* - Algebras and Numerical Analysis written by Ronald Hagen and published by CRC Press. This book was released on 2000-09-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."

Generalized Difference Methods for Differential Equations

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Publisher : CRC Press
ISBN 13 : 1482270218
Total Pages : 472 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Generalized Difference Methods for Differential Equations by : Ronghua Li

Download or read book Generalized Difference Methods for Differential Equations written by Ronghua Li and published by CRC Press. This book was released on 2000-01-03 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.

Topological Fields

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Topological Fields by :

Download or read book Topological Fields written by and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

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Publisher : CRC Press
ISBN 13 : 9780203911433
Total Pages : 520 pages
Book Rating : 4.9/5 (114 download)

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Book Synopsis Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative by : Gennadii V. Demidenko

Download or read book Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative written by Gennadii V. Demidenko and published by CRC Press. This book was released on 2003-04-25 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, t

Valuations, Orderings, and Milnor $K$-Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 082184041X
Total Pages : 305 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Valuations, Orderings, and Milnor $K$-Theory by : Ido Efrat

Download or read book Valuations, Orderings, and Milnor $K$-Theory written by Ido Efrat and published by American Mathematical Soc.. This book was released on 2006 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a comprehensive exposition of the modern theory of valued and ordered fields. It presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. Deeper cohomological aspects are studied in its last part in an elementary manner. This is done by means of the newly developed theory of generalized Milnor $K$-rings. The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies themin a unified manner. The presentation is almost entirely self-contained. In particular, the text develops the needed machinery of ordered abelian groups. This is then used throughout the text to replace the more classical techniques of commutative algebra. Likewise, the book provides an introductionto the Milnor $K$-theory. The reader is introduced to the valuation-theoretic techniques as used in modern Galois theory, especially in applications to birational anabelian geometry, where one needs to detect valuations from their ``cohomological footprints''. These powerful techniques are presented here for the first time in a unified and elementary way.

Valuation Theory and Its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871393
Total Pages : 470 pages
Book Rating : 4.8/5 (713 download)

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Book Synopsis Valuation Theory and Its Applications by : Franz-Viktor Kuhlmann

Download or read book Valuation Theory and Its Applications written by Franz-Viktor Kuhlmann and published by American Mathematical Soc.. This book was released on 2002-01-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.

Topological Spaces

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Publisher : Academic Press
ISBN 13 : 1483265242
Total Pages : 297 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Topological Spaces by : H. J. Kowalsky

Download or read book Topological Spaces written by H. J. Kowalsky and published by Academic Press. This book was released on 2014-05-12 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Spaces focuses on the applications of the theory of topological spaces to the different branches of mathematics. The book first offers information on elementary principles, topological spaces, and compactness and connectedness. Discussions focus on locally compact spaces, local connectedness, fundamental concepts and their reformulations, lattice of topologies, axioms of separation, fundamental concepts of set theory, and ordered sets and lattices. The manuscript then ponders on mappings and extensions and characterization of topological spaces, including completely regular spaces, transference of topologies, Wallman compactification, and embeddings. The publication takes a look at metric and uniform spaces and applications of topological groups. Topics include the Stone-Weierstrass Approximation Theorem, extensions and completions of topological groups, topological rings and fields, extension and completion of uniform spaces, uniform continuity and uniform convergence, metric spaces, and metritization. The text is a valuable reference for mathematicians and researchers interested in the study of topological spaces.

Functional Analysis and Valuation Theory

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Publisher : CRC Press
ISBN 13 : 9780824714840
Total Pages : 212 pages
Book Rating : 4.7/5 (148 download)

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Book Synopsis Functional Analysis and Valuation Theory by : Lawrence Narici

Download or read book Functional Analysis and Valuation Theory written by Lawrence Narici and published by CRC Press. This book was released on 1971-06-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents functional analysis over arbitrary valued fields and investigates normed spaces and algebras over fields with valuation, with attention given to the case when the norm and the valuation are nonarchimedean. It considers vector spaces over fields with nonarchimedean valuation.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 726 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1997 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: