Ultrametric Calculus

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Ultrametric Calculus

W. H. Schikhof
Ultrametric Calculus Book PDF

Author : W. H. Schikhof
Publisher : Cambridge University Press
Page : 320 pages
File Size : 50,9 Mb
Release : 1985-01-10
Category : Mathematics
ISBN : 0521242347

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Ultrametric Calculus by W. H. Schikhof Pdf

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.

Advances in Ultrametric Analysis

Alain Escassut,Cristina Perez-Garcia,Khodr Shamseddine
Advances in Ultrametric Analysis Book PDF

Author : Alain Escassut,Cristina Perez-Garcia,Khodr Shamseddine
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 54,5 Mb
Release : 2018-03-26
Category : Functional analysis
ISBN : 9781470434915

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Advances in Ultrametric Analysis by Alain Escassut,Cristina Perez-Garcia,Khodr Shamseddine Pdf

Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of -adic series, rational maps on the projective line over , non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, -modules with a convex base, non-compact Trace class operators and Schatten-class operators in -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric spectra of commutative non-unital Banach rings, classes of non-Archimedean Köthe spaces, -adic Nevanlinna theory and applications, and sub-coordinate representation of -adic functions. Moreover, a paper on the history of -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 the sub-areas of this exciting and fast-developing research area.

p-adic Numbers

Fernando Quadros Gouvea
p adic Numbers Book PDF

Author : Fernando Quadros Gouvea
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642590580

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p-adic Numbers by Fernando Quadros Gouvea Pdf

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

An Introduction to Ultrametric Summability Theory

P.N. Natarajan
An Introduction to Ultrametric Summability Theory Book PDF

Author : P.N. Natarajan
Publisher : Springer Science & Business Media
Page : 111 pages
File Size : 40,7 Mb
Release : 2013-10-18
Category : Mathematics
ISBN : 9788132216476

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An Introduction to Ultrametric Summability Theory by P.N. Natarajan Pdf

Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents, for the first time, 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.

Ultrametric Functional Analysis

Wilhelmus Hendricus Schikhof,C. Perez-Garcia,Alain Escassut
Ultrametric Functional Analysis Book PDF

Author : Wilhelmus Hendricus Schikhof,C. Perez-Garcia,Alain Escassut
Publisher : American Mathematical Soc.
Page : 434 pages
File Size : 55,7 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821833209

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Ultrametric Functional Analysis by Wilhelmus Hendricus Schikhof,C. Perez-Garcia,Alain Escassut Pdf

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.

Advances in Non-Archimedean Analysis

Jesus Araujo-Gomez,Bertin Diarra,Alain Escassut
Advances in Non Archimedean Analysis Book PDF

Author : Jesus Araujo-Gomez,Bertin Diarra,Alain Escassut
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 44,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821852910

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Advances in Non-Archimedean Analysis by Jesus Araujo-Gomez,Bertin Diarra,Alain Escassut Pdf

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.

Typed Lambda Calculi and Applications

Masahito Hasegawa
Typed Lambda Calculi and Applications Book PDF

Author : Masahito Hasegawa
Publisher : Springer
Page : 260 pages
File Size : 46,7 Mb
Release : 2013-05-27
Category : Mathematics
ISBN : 9783642389467

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Typed Lambda Calculi and Applications by Masahito Hasegawa Pdf

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

Fuad Aleskerov,Boris Goldengorin,Panos M. Pardalos
Clusters Orders and Trees Methods and Applications Book PDF

Author : Fuad Aleskerov,Boris Goldengorin,Panos M. Pardalos
Publisher : Springer
Page : 404 pages
File Size : 53,5 Mb
Release : 2014-06-11
Category : Mathematics
ISBN : 9781493907427

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Clusters, Orders, and Trees: Methods and Applications by Fuad Aleskerov,Boris Goldengorin,Panos M. Pardalos Pdf

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

Rubem P. Mondaini
Trends in Biomathematics Modeling Optimization and Computational Problems Book PDF

Author : Rubem P. Mondaini
Publisher : Springer
Page : 423 pages
File Size : 41,8 Mb
Release : 2018-08-16
Category : Mathematics
ISBN : 9783319910925

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

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.

Gaussian Random Fields - Proceedings Of The Third Nagayo Levy Seminar

Kazufumi Ito,Takeyuki Hida
Gaussian Random Fields Proceedings Of The Third Nagayo Levy Seminar Book PDF

Author : Kazufumi Ito,Takeyuki Hida
Publisher : World Scientific
Page : 450 pages
File Size : 47,9 Mb
Release : 1991-11-29
Category : Electronic
ISBN : 9789814569378

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Gaussian Random Fields - Proceedings Of The Third Nagayo Levy Seminar by Kazufumi Ito,Takeyuki Hida Pdf

These proceedings emphasize new mathematical problems discussed in line with white noise analysis. Many papers deal with mathematical questions arising from actual phenomena. Various applications to stochastic differential equations, quantum field theory, functional integration such as Feynman integrals, limit theorems in probability are also discussed.

Classification, Clustering, and Data Mining Applications

David Banks,Leanna House,Frederick R. McMorris,Phipps Arabie,Wolfgang A. Gaul
Classification Clustering and Data Mining Applications Book PDF

Author : David Banks,Leanna House,Frederick R. McMorris,Phipps Arabie,Wolfgang A. Gaul
Publisher : Springer Science & Business Media
Page : 642 pages
File Size : 42,5 Mb
Release : 2011-01-07
Category : Language Arts & Disciplines
ISBN : 9783642171031

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Classification, Clustering, and Data Mining Applications by David Banks,Leanna House,Frederick R. McMorris,Phipps Arabie,Wolfgang A. Gaul Pdf

This volume describes new methods with special emphasis on classification and cluster analysis. These methods are applied to problems in information retrieval, phylogeny, medical diagnosis, microarrays, and other active research areas.

P-adic Deterministic and Random Dynamics

Andrei Y. Khrennikov,Marcus Nilsson
P adic Deterministic and Random Dynamics Book PDF

Author : Andrei Y. Khrennikov,Marcus Nilsson
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 40,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9781402026607

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P-adic Deterministic and Random Dynamics by Andrei Y. Khrennikov,Marcus Nilsson Pdf

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.

Data Mining: Foundations and Intelligent Paradigms

Dawn E. Holmes,Lakhmi C Jain
Data Mining Foundations and Intelligent Paradigms Book PDF

Author : Dawn E. Holmes,Lakhmi C Jain
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 52,5 Mb
Release : 2011-11-09
Category : Technology & Engineering
ISBN : 9783642231667

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Data Mining: Foundations and Intelligent Paradigms by Dawn E. Holmes,Lakhmi C Jain Pdf

There are many invaluable books available on data mining theory and applications. However, in compiling a volume titled “DATA MINING: Foundations and Intelligent Paradigms: Volume 1: Clustering, Association and Classification” we wish to introduce some of the latest developments to a broad audience of both specialists and non-specialists in this field.

Advances in Knowledge Discovery and Management

Fabrice Guillet,Bruno Pinaud,Gilles Venturini
Advances in Knowledge Discovery and Management Book PDF

Author : Fabrice Guillet,Bruno Pinaud,Gilles Venturini
Publisher : Springer
Page : 278 pages
File Size : 48,7 Mb
Release : 2016-11-03
Category : Computers
ISBN : 9783319457635

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Advances in Knowledge Discovery and Management by Fabrice Guillet,Bruno Pinaud,Gilles Venturini Pdf

This book presents a collection of representative and novel work in the field of data mining, knowledge discovery, clustering and classification, based on expanded and reworked versions of a selection of the best papers originally presented in French at the EGC 2014 and EGC 2015 conferences held in Rennes (France) in January 2014 and Luxembourg in January 2015. The book is in three parts: The first four chapters discuss optimization considerations in data mining. The second part explores specific quality measures, dissimilarities and ultrametrics. The final chapters focus on semantics, ontologies and social networks. Written for PhD and MSc students, as well as researchers working in the field, it addresses both theoretical and practical aspects of knowledge discovery and management.

The Complex Networks of Economic Interactions

Akira Namatame,Taisei Kaizouji,Yuuji Aruka
The Complex Networks of Economic Interactions Book PDF

Author : Akira Namatame,Taisei Kaizouji,Yuuji Aruka
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 46,6 Mb
Release : 2006-03-09
Category : Business & Economics
ISBN : 9783540287278

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The Complex Networks of Economic Interactions by Akira Namatame,Taisei Kaizouji,Yuuji Aruka Pdf

Understanding the mechanism of a socio-economic system requires more than an understanding of the individuals that comprise the system. It also requires understanding how individuals interact with each other, and how the agg- gated outcome can be more than the sum of individual behaviors. This book contains the papers fostering the formation of an active multi-disciplinary community on socio-economic systems with the exciting new ?elds of age- based modeling and econophysics. We especially intend to increase the awareness of researchers in many ?elds with sharing the common view many economic and social activities as collectives of a large-scale heterogeneous and interacting agents. Economists seek to understand not only how individuals behave but also how the interaction of many individuals leads to complex outcomes. Age- based modeling is a method for studying socio-economic systems exhibiting the following two properties: (1) the system is composed of interacting agents, and (2) the system exhibits emergent properties, that is, properties arising from the interactions of the agents that cannot be deduced simply by agg- gating the properties of the system’s components. When the interaction of the agents is contingent on past experience, and especially when the agents continually adapt to that experience, mathematical analysis is typically very limited in its ability to derive the outcome.