Ultrametric Calculus

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An Introduction to Ultrametric Summability Theory

Author : P.N. Natarajan
Publisher : Springer
ISBN 13 : 8132225597
Total Pages : 169 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis An Introduction to Ultrametric Summability Theory by : P.N. Natarajan

Download or read book An Introduction to Ultrametric Summability Theory written by P.N. Natarajan and published by Springer. This book was released on 2015-09-08 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second, completely revised and expanded edition of the author’s first book, covering numerous new topics and recent developments in ultrametric summability theory. Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to both young researchers and more experienced mathematicians who are looking to explore new areas in analysis. The book is also useful as a text for those who wish to specialize in ultrametric summability theory.

Ultrametric Functional Analysis

Author : Wilhelmus Hendricus Schikhof
Publisher : American Mathematical Soc.
ISBN 13 : 0821833200
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ultrametric Functional Analysis by : Wilhelmus Hendricus Schikhof

Download or read book Ultrametric Functional Analysis written by Wilhelmus Hendricus Schikhof and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research articles based on lectures given at the Seventh International Conference on $p$-adic Functional Analysis. The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, $p$-adic dynamical systems, and non-Archimedean probability theory and stochastic processes. The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of $p$-adic groups.

p-adic Numbers

Author : Fernando Quadros Gouvea
Publisher : Springer Science & Business Media
ISBN 13 : 3642590586
Total Pages : 304 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis p-adic Numbers by : Fernando Quadros Gouvea

Download or read book p-adic Numbers written by Fernando Quadros Gouvea and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers. From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is." --THE MATHEMATICAL GAZETTE

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.

p-adic Functional Analysis

Author : W.H. Schikhof
Publisher : CRC Press
ISBN 13 : 1000145913
Total Pages : 419 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis p-adic Functional Analysis by : W.H. Schikhof

Download or read book p-adic Functional Analysis written by W.H. Schikhof and published by CRC Press. This book was released on 2020-11-26 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."

p-adic Differential Equations

Author : Kiran S. Kedlaya
Publisher : Cambridge University Press
ISBN 13 : 1139489208
Total Pages : 399 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis p-adic Differential Equations by : Kiran S. Kedlaya

Download or read book p-adic Differential Equations written by Kiran S. Kedlaya and published by Cambridge University Press. This book was released on 2010-06-10 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study.

A Course in p-adic Analysis

Author : Alain M. Robert
Publisher : Springer Science & Business Media
ISBN 13 : 1475732546
Total Pages : 451 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis A Course in p-adic Analysis by : Alain M. Robert

Download or read book A Course in p-adic Analysis written by Alain M. Robert and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of basic p-adic analysis with a focus on analytic topics. It offers many features rarely treated in introductory p-adic texts such as topological models of p-adic spaces inside Euclidian space, a special case of Hazewinkel’s functional equation lemma, and a treatment of analytic elements.

p-adic Function Analysis

Author : Jose M. Bayod
Publisher : CRC Press
ISBN 13 : 1000154165
Total Pages : 256 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis p-adic Function Analysis by : Jose M. Bayod

Download or read book p-adic Function Analysis written by Jose M. Bayod and published by CRC Press. This book was released on 2020-12-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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. "

P-adic Deterministic and Random Dynamics

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 9781402026591
Total Pages : 296 pages
Book Rating : 4.0/5 (265 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 2004-10-18 with total page 296 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.

Ultrametric Calculus

Author : W. H. Schikhof
Publisher : Cambridge University Press
ISBN 13 : 0521032873
Total Pages : 0 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Ultrametric Calculus by : W. H. Schikhof

Download or read book Ultrametric Calculus written by W. H. Schikhof and published by Cambridge University Press. This book was released on 2007-01-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference for professionals (especially in p-adic analysis, number theory and algebraic geometry) and will be welcomed as a textbook for advanced students of mathematics familiar with algebra and analysis.

p-adic Functional Analysis

Author : N. De Grande-De Kimpe
Publisher : CRC Press
ISBN 13 : 9780824782542
Total Pages : 350 pages
Book Rating : 4.7/5 (825 download)

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Book Synopsis p-adic Functional Analysis by : N. De Grande-De Kimpe

Download or read book p-adic Functional Analysis written by N. De Grande-De Kimpe and published by CRC Press. This book was released on 1999-07-07 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.

Typed Lambda Calculi and Applications

Author : Masahito Hasegawa
Publisher : Springer
ISBN 13 : 3642389465
Total Pages : 260 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Typed Lambda Calculi and Applications by : Masahito Hasegawa

Download or read book Typed Lambda Calculi and Applications written by Masahito Hasegawa and published by Springer. This book was released on 2013-05-27 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Typed Lambda Calculi and Applications, TLCA 2013, held in Eindhoven, The Netherlands, in June 2013 as part of RDP 2013, the 7th Federated Conference on Rewriting, Deduction, and Programming, together with the 24th International Conference on Rewriting Techniques and Applications, RTA 2013, and several related events. The 15 revised full papers presented were carefully reviewed and selected from 41 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Clusters, Orders, and Trees: Methods and Applications

Author : Fuad Aleskerov
Publisher : Springer
ISBN 13 : 1493907425
Total Pages : 404 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Clusters, Orders, and Trees: Methods and Applications by : Fuad Aleskerov

Download or read book Clusters, Orders, and Trees: Methods and Applications written by Fuad Aleskerov and published by Springer. This book was released on 2014-06-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Boris Mirkin on the occasion of his 70th birthday. In addition to his startling PhD results in abstract automata theory, Mirkin’s ground breaking contributions in various fields of decision making and data analysis have marked the fourth quarter of the 20th century and beyond. Mirkin has done pioneering work in group choice, clustering, data mining and knowledge discovery aimed at finding and describing non-trivial or hidden structures—first of all, clusters, orderings and hierarchies—in multivariate and/or network data. This volume contains a collection of papers reflecting recent developments rooted in Mirkin’s fundamental contribution to the state-of-the-art in group choice, ordering, clustering, data mining and knowledge discovery. Researchers, students and software engineers will benefit from new knowledge discovery techniques and application directions.

Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author : Rubem P. Mondaini
Publisher : Springer
ISBN 13 : 3319910922
Total Pages : 424 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Trends in Biomathematics: Modeling, Optimization and Computational Problems by : Rubem P. Mondaini

Download or read book Trends in Biomathematics: Modeling, Optimization and Computational Problems written by Rubem P. Mondaini and published by Springer. This book was released on 2018-08-16 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together carefully selected, peer-reviewed works on mathematical biology presented at the BIOMAT International Symposium on Mathematical and Computational Biology, which was held at the Institute of Numerical Mathematics, Russian Academy of Sciences, in October 2017, in Moscow. Topics covered include, but are not limited to, the evolution of spatial patterns on metapopulations, problems related to cardiovascular diseases and modeled by boundary control techniques in hemodynamics, algebraic modeling of the genetic code, and multi-step biochemical pathways. Also, new results are presented on topics like pattern recognition of probability distribution of amino acids, somitogenesis through reaction-diffusion models, mathematical modeling of infectious diseases, and many others. Experts, scientific practitioners, graduate students and professionals working in various interdisciplinary fields will find this book a rich resource for research and applications alike.

Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xxi International Conference

Author : Chen Ning Yang
Publisher : World Scientific
ISBN 13 : 9814553778
Total Pages : 626 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xxi International Conference by : Chen Ning Yang

Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xxi International Conference written by Chen Ning Yang and published by World Scientific. This book was released on 1993-07-31 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains intense studies on Quantum Groups, Knot Theory, Statistical Mechanics, Conformal Field Theory, Differential Geometry and Differential Equation Methods and so on. It has contributions by renowned experts and covers most of the recent developments in these fields.

Formal Analysis

Author : Xiao-Xiong Gan
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110598604
Total Pages : 297 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Formal Analysis by : Xiao-Xiong Gan

Download or read book Formal Analysis written by Xiao-Xiong Gan and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This book is the first comprehensive presentation of the topic that systematically introduces formal analysis, including its algebraic, analytic, and topological structure, along with various applications.

Approximation Theory and Analytic Inequalities

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030606228
Total Pages : 546 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Approximation Theory and Analytic Inequalities by : Themistocles M. Rassias

Download or read book Approximation Theory and Analytic Inequalities written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-07-21 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.