Analyse Non Archimedienne

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Analyse non-archimedienne

Author : A.F. Monna
Publisher : Springer
ISBN 13 : 9783540050896
Total Pages : 118 pages
Book Rating : 4.0/5 (58 download)

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Book Synopsis Analyse non-archimedienne by : A.F. Monna

Download or read book Analyse non-archimedienne written by A.F. Monna and published by Springer. This book was released on 1970-01-01 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comme l'analyse reelle ou complexe est basee sur le corps des nombres reels, resp. le corps des nombres complexes, les corps munis d'une valuation non-archimedienne, dont les corps p-adiques sont un exemple, sont a la base de l'analyse non-archimedienne. 1 Apn!s l'introduction des corps p-adiques par Hense! en 1908 , ces corps ont ete etudies principalement dans la theorie des nombres et en algebre. Ce n'est qu'apres 1940 que leur etude a ete abordee du point de vu de l'analyse, resultant en un nombre d'artic1es dans plusieurs joumaux. Bien qu'on trouve dans quelques livres (par exemple dans Bourbaki, Espaces vectoriels topologiques, Chap. I, 11) certains resul tats e1ementaires dans ce domaine, un livre qui traite de ce sujet d'une fa

Analyse Non-archimedienne

Author : A. F. Monna
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (859 download)

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Book Synopsis Analyse Non-archimedienne by : A. F. Monna

Download or read book Analyse Non-archimedienne written by A. F. Monna and published by . This book was released on 1970 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A. F. Monna ;Analyse Non-archimédienne

Author : A. F. Monna
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.:/5 (488 download)

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Book Synopsis A. F. Monna ;Analyse Non-archimédienne by : A. F. Monna

Download or read book A. F. Monna ;Analyse Non-archimédienne written by A. F. Monna and published by . This book was released on 1970 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Non-Archimedean Analysis

Author : Jesus Araujo-Gomez
Publisher : American Mathematical Soc.
ISBN 13 : 0821852914
Total Pages : 294 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Non-Archimedean Analysis by : Jesus Araujo-Gomez

Download or read book Advances in Non-Archimedean Analysis written by Jesus Araujo-Gomez and published by American Mathematical Soc.. This book was released on 2011 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: These collected articles 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 functions spaces, and measure and integration.

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 9400914830
Total Pages : 386 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by : Andrei Y. Khrennikov

Download or read book Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. 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 problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom.

Nonarchimedean Functional Analysis

Author : Peter Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 3662047284
Total Pages : 159 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Nonarchimedean Functional Analysis by : Peter Schneider

Download or read book Nonarchimedean Functional Analysis written by Peter Schneider and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a course which I gave during the winter term 1997/98 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 nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.

Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields

Author : Anatoly Kochubei
Publisher : CRC Press
ISBN 13 : 9780203908167
Total Pages : 344 pages
Book Rating : 4.9/5 (81 download)

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Book Synopsis Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields by : Anatoly Kochubei

Download or read book Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields written by Anatoly Kochubei and published by CRC Press. This book was released on 2001-08-03 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat

Advances in Non-Archimedean Analysis

Author : Helge Glöckner
Publisher : American Mathematical Soc.
ISBN 13 : 1470419882
Total Pages : 346 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Advances in Non-Archimedean Analysis by : Helge Glöckner

Download or read book Advances in Non-Archimedean Analysis written by Helge Glöckner and published by American Mathematical Soc.. This book was released on 2016-05-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the 13th International Conference on p-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany. 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 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.

An Introduction to Metric Spaces and Fixed Point Theory

Author : Mohamed A. Khamsi
Publisher : John Wiley & Sons
ISBN 13 : 1118031326
Total Pages : 318 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis An Introduction to Metric Spaces and Fixed Point Theory by : Mohamed A. Khamsi

Download or read book An Introduction to Metric Spaces and Fixed Point Theory written by Mohamed A. Khamsi and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diese Einfuhrung in das Gebiet der metrischen Raume richtet sich in erster Linie nicht an Spezialisten, sondern an Anwender der Methode aus den verschiedensten Bereichen der Naturwissenschaften. Besonders ausfuhrlich und anschaulich werden die Grundlagen von metrischen Raumen und Banach-Raumen erklart, Anhange enthalten Informationen zu verschiedenen Schlusselkonzepten der Mengentheorie (Zornsches Lemma, Tychonov-Theorem, transfinite Induktion usw.). Die hinteren Kapitel des Buches beschaftigen sich mit fortgeschritteneren Themen.

P-adic Deterministic and Random Dynamics

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 1402026609
Total Pages : 279 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis P-adic Deterministic and Random Dynamics by : Andrei Y. Khrennikov

Download or read book P-adic Deterministic and Random Dynamics written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. The main part of the book is devoted to discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.

Lectures on Formal and Rigid Geometry

Author : Siegfried Bosch
Publisher : Springer
ISBN 13 : 3319044176
Total Pages : 255 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Lectures on Formal and Rigid Geometry by : Siegfried Bosch

Download or read book Lectures on Formal and Rigid Geometry written by Siegfried Bosch and published by Springer. This book was released on 2014-08-22 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".

Modeling Multi-Level Systems

Author : Octavian Iordache
Publisher : Springer Science & Business Media
ISBN 13 : 3642179452
Total Pages : 244 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Modeling Multi-Level Systems by : Octavian Iordache

Download or read book Modeling Multi-Level Systems written by Octavian Iordache and published by Springer Science & Business Media. This book was released on 2011-02-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to modeling of multi-level complex systems, a challenging domain for engineers, researchers and entrepreneurs, confronted with the transition from learning and adaptability to evolvability and autonomy for technologies, devices and problem solving methods. Chapter 1 introduces the multi-scale and multi-level systems and highlights their presence in different domains of science and technology. Methodologies as, random systems, non-Archimedean analysis, category theory and specific techniques as model categorification and integrative closure, are presented in chapter 2. Chapters 3 and 4 describe polystochastic models, PSM, and their developments. Categorical formulation of integrative closure offers the general PSM framework which serves as a flexible guideline for a large variety of multi-level modeling problems. Focusing on chemical engineering, pharmaceutical and environmental case studies, the chapters 5 to 8 analyze mixing, turbulent dispersion and entropy production for multi-scale systems. Taking inspiration from systems sciences, chapters 9 to 11 highlight multi-level modeling potentialities in formal concept analysis, existential graphs and evolvable designs of experiments. Case studies refer to separation flow-sheets, pharmaceutical pipeline, drug design and development, reliability management systems, security and failure analysis. Perspectives and integrative points of view are discussed in chapter 12. Autonomous and viable systems, multi-agents, organic and autonomic computing, multi-level informational systems, are revealed as promising domains for future applications. Written for: engineers, researchers, entrepreneurs and students in chemical, pharmaceutical, environmental and systems sciences engineering, and for applied mathematicians.

Basic Theory

Author : Anatoly Kochubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110570637
Total Pages : 683 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Basic Theory by : Anatoly Kochubei

Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Banach Algebras Of Ultrametric Functions

Author : Alain Escassut
Publisher : World Scientific
ISBN 13 : 9811251673
Total Pages : 323 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Banach Algebras Of Ultrametric Functions by : Alain Escassut

Download or read book Banach Algebras Of Ultrametric Functions written by Alain Escassut and published by World Scientific. This book was released on 2022-04-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner-Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.

Proceedings of the 1st International Conference on Quantitative, Social, Biomedical & Economic Issues 2017

Author : Christos C. Frangos
Publisher : Christos Frangos
ISBN 13 : 6188298008
Total Pages : 285 pages
Book Rating : 4.1/5 (882 download)

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Book Synopsis Proceedings of the 1st International Conference on Quantitative, Social, Biomedical & Economic Issues 2017 by : Christos C. Frangos

Download or read book Proceedings of the 1st International Conference on Quantitative, Social, Biomedical & Economic Issues 2017 written by Christos C. Frangos and published by Christos Frangos. This book was released on 2017-06-29 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present Conference is the 1st conference in a series of conferences to come with main topic quantitative methods in the social sciences. The purpose of the conference is to present and publish research output of all the Universities and Technological Institutions of Greece and the different nations of the World. Another important purpose is to facilitate the interaction between two worlds: the world of Business and the world of Academic Community. The organizers of this Conference have the ambition to establish a forum for discussions on the theory and applications of the Quantitative and Qualitative Methods in the different business sectors such as Small to Medium Enterprises or large Companies in Industry, Commerce, Tourism, Health, Public Sector, Shipping Industry and financial services. The Proceedings of the conference have an ISBN number.

p-adic Numbers, p-adic Analysis, and Zeta-Functions

Author : Neal Koblitz
Publisher : Springer Science & Business Media
ISBN 13 : 1461211123
Total Pages : 163 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis p-adic Numbers, p-adic Analysis, and Zeta-Functions by : Neal Koblitz

Download or read book p-adic Numbers, p-adic Analysis, and Zeta-Functions written by Neal Koblitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.

Approximation Theory and Functional Analysis

Author :
Publisher : Elsevier
ISBN 13 : 0080871461
Total Pages : 459 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Approximation Theory and Functional Analysis by :

Download or read book Approximation Theory and Functional Analysis written by and published by Elsevier. This book was released on 1979-01-01 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Theory and Functional Analysis