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Sunday, August 9, 2020 | History

7 edition of Non-Archimedean analysis found in the catalog.

Non-Archimedean analysis

quantum paradoxes, dynamical systems, and biological models

by A. IНЎU Khrennikov

  • 46 Want to read
  • 21 Currently reading

Published by Kluwer Academic Publishers in Dordrecht, Boston .
Written in English

  • Quantum theory,
  • Physical measurements,
  • p-adic analysis,
  • Hilbert space,
  • Reality

  • Edition Notes

    Includes bibliographical references (p. [345]-368) and index.

    Statementby Andrei Khrennikov.
    SeriesMathematics and its applications ;, v. 427, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 427.
    LC ClassificationsQC174.12 .K47 1997
    The Physical Object
    Paginationxvii, 371 p. ;
    Number of Pages371
    ID Numbers
    Open LibraryOL684648M
    ISBN 100792348001
    LC Control Number97031467

    ney in non-Archimedean Analysis, the freedom of choice for the base valued field presents different cases to consider, most of which do not occur when we work with the fields of real or complex numbers. The existence of discrete valuations, or the possible non-existence of vectors of norm 1 sometimes lead to the use of. These activities should not be confused with a more well-known non-Archimedean analysis over local fields and their extensions (treated in the book by Narici et al, and many others). These fields have no order relations agreed with their natural structures, though some positivity and monotonicity notions can be useful also in this framework.

      The articles collected here feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach function spaces, and. This article is devoted to new results of investigations of quasi-invariant non-Archimedean valued measures, which is becoming more important nowdays due to the development of non-Archimedean mathematical physics, particularly, quantum mechanics, quantum field theory, theory of superstrings and supergravity [VV89, VVZ94, ADV88, Cas02, DD00, Khr90, Lud99t, .

      This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear : Springer International Publishing. The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications. Through a combination of new research articles and survey papers, this book provides the reader with an.

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Non-Archimedean analysis by A. IНЎU Khrennikov Download PDF EPUB FB2

Non-Archimedean Analysis A Systematic Approach to Rigid Analytic Geometry. Authors: Bosch, Siegfried, Güntzer, U., Remmert, R.

Buy Non-Archimedean Analysis: A Systematic Approach to Rigid Analytic Geometry (Grundlehren der mathematischen Wissenschaften ()) Price: $ In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis).

However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of by: In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and y speaking, it is the property of having no infinitely large or infinitely small elements.

It was Otto Stolz who gave the axiom of Archimedes its. Abstract. The present chapter is purely mathematical. The reader, who is more interested in physics than mathematics can omit this chapter and go directly to Chapter 4, where the formalism of m-adic quantum mechanics (which describes a finite precision of measurements) will be refer to results of the present chapter in only a few places in Chapter by: Description: Non-Archimedean functional analysis, where alternative but Non-Archimedean analysis book valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry.

This book is the first to provide a comprehensive. CONTACT MAA. Mathematical Association of America 18th Street NW Washington, D.C. Phone: () - Phone: () - Fax: () - Several approaches to non-archimedean geometry Brian Conrad1 Introduction Let k be a non-archimedean field: a field that is complete with respect to a specified nontrivial non-archimedean absolute value ||.

There is a classical theory of k-analytic manifolds (often used in the theory of algebraic groups with k a local. Non-Archimedean Analysis | N atur non facit saltus. This book is devoted to the fundamental problem which arises contin- uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality.

Our work on Non-Archimedean Analysis is centered on the development of Analysis concepts on totally ordered Non-Archimedean Fields, in particular those first described by Levi-Civita.

Those structures have the advantage of being particularly small, and even treatable in computational environments, which is not the case for the structures of the.

Moreover, a paper on the history of \(p\)-adic analysis with a comparative summary of non-Archimedean fields is presented. Through a combination of new research articles and a survey paper, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of.

In this book we try to build a p-adic picture of re-ality based on the elds of p-adic numbers Q p and corresponding analysis (a particular case of so. Non-Archimedean Analysis by S. Bosch,available at Book Depository with free delivery worldwide.

This book grew out of a course which I gave during the winter term /98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters.

The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over. Non-Archimedean Geometry Lectures from a course by Matt Baker at U.C. Berkeley Scribes Sarah Brodsky Melody Chan Michael Daub Andrew Dudzik Will Johnson Shelly Manber Then Qp is a complete non-archimedean valued field and Q is dense in Qp.

Example 3. Let F be any field and denote by F((t)) the field of Laurant. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

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Introduction. A non-zero element of an ordered field is infinitesimal if and only if its absolute value is smaller than any element of of the form, for a standard natural number. Ordered fields that have infinitesimal elements are also called generally, nonstandard analysis is any form of mathematics that relies on nonstandard models and the transfer principle.

Main Non-Archimedean Analysis: A Systematic Approach to Rigid Analytic Geometry (Grundlehren der mathematischen. Non-Archimedean Analysis: A Systematic Approach to Rigid Analytic Geometry (Grundlehren der mathematischen Wissenschaften) Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find.

Non-Archimedean Functional Analysis by Rooij, A.C.M. van and a great selection of related books, art and collectibles This is an ex-library book and may have the usual library/used-book markings book has hardback covers.

In fair condition, suitable as a study copy. No dust jacket. Seller Inventory # More information.Non-Archimedean functional analysis. New York: M. Dekker, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: A C M van Rooij.Non-Archimedean Analysis: S.

Bosch: Paperback: Geometry - Analytic book.