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Saturday, May 16, 2020 | History

4 edition of Ultrametric Calculus found in the catalog.

Ultrametric Calculus

W. H. Schikhof

Ultrametric Calculus

An Introduction to p-Adic Analysis (Cambridge Studies in Advanced Mathematics)

by W. H. Schikhof

  • 157 Want to read
  • 11 Currently reading

Published by Cambridge University Press .
Written in English

    Subjects:
  • Probability & statistics,
  • Functional Analysis,
  • Mathematics / Differential Equations,
  • Theory Of Numbers,
  • Calculus,
  • p-adic analysis

  • The Physical Object
    FormatHardcover
    Number of Pages320
    ID Numbers
    Open LibraryOL7734110M
    ISBN 100521242347
    ISBN 109780521242349

    Pages (February ) Download full issue. Previous vol/issue. Next vol/issue. Actions for selected articles. Select all / Deselect all. Book review Open archive Ultrametric calculus and introduction to p-adic analysis: W. H. Schikhof, Cambridge . The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ (x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. For this construction we draw upon the methods of Alan Adolphson [1] in his work on Hecke polynomials.

    Ultrametric norms. Just to confuse things again: the following paper discusses p-adic Hilbert spaces and p-adic inner products: Operator Calculus For p-Adic Valued Symbols And Quantization, S. Albeverio, R. Cianci and Khrennikov, Rend. Sem. Mat. Univ. Pol. Torino, Vol. 67, 2 (), – , Second Conf. Pseudo-Differential Operators. Full Description: "This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. Spend a moment from your computer, open the An Introduction to Ultrametric Summability Theory book.

    The General Curve Lemma is a tool of Infinite-Dimensional Analysis, which enables refined studies of differentiability properties of mappings between real. Interpolation in p-adic fields VladimirSerbinenko,RaphaelSteiner,JanDumke er We will closely follow Schikhof’s book “Ultrametric Calculus”. 1 Bases in p−adic Banach spaces I denote the underlying field as K. Definition A p−adic Banach space is a vector space with ultrametric norm which is complete with respect to.


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Ultrametric Calculus by W. H. Schikhof Download PDF EPUB FB2

Ultrametric Calculus: An Introduction to p-Adic Analysis (Cambridge Studies in Advanced Mathematics) Revised ed. Edition by W Schikhof (Author)Cited by: Cambridge Core - Abstract Analysis - Ultrametric Calculus - by W.

Schikhof. This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of Cited by:   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.5/5(2). In this book we shall treat the basic facts of ultrametric analysis together to form an alternative 'one variable calculus course'.

Thus, in К we shall consider familiar concepts such as continuity, differentiability, (power) series, integration, etc. Title: Ultrametric Calculus An Introduction to pAdic Anal by W.

Schikhof and a great selection of related books, art and collectibles available now at 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. - Ultrametric Calculus: An Introduction to p-Adic Analysis W.

Schikhof Frontmatter More information. Title: Ultrametric calculus: An introduction to p-adic analysis Author: OF Created Date. Ultrametric Calculus - by W. Schikhof January We use cookies to distinguish you from other users and to provide you with a better experience on our websites. This is the free digital calculus text by David R.

Guichard and others. It was submitted to the Free Digital Textbook Initiative in California and will remain unchanged for at least two years. The book is in use at Whitman College and is occasionally updated to correct errors and add new material. Published in by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike.

It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.

Schikhof's Ultrametric Calculus, originally published inis now back as a (print-on-demand) paperback. It is still a very useful book.

Books on p-adic numbers and p-adic analysis usually reflect quite closely the interests and concerns of their authors. Find helpful customer reviews and review ratings for Ultrametric Calculus: An Introduction to p-Adic Analysis The rest of the book then does differential calculus on functions from Zp to Cp.

There is a machinery of integration for such functions, namely the Volkenborn integral, and there are pretty results about Bernoulli polynomials that 4/5(1). The problem with books like Thomas’ Calculus or Stewart Calculus is that you won’t get a thorough understanding of the inner mechanics of calculus.

As long as you don’t have a good prof or teacher, I would stay away from these books. If you want t. McGraw-Hill Book Company, New York, W. Schikoff, Ultrametric Calculus, An Introduction to p-adic Anal­ ysis, Cambridge Studies in Adv.

Math. 4, Cambridge University Press, J. Serre, A Course in Arithmetic, Springer-Verlag, New York, File Size: 9MB. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share.

Ultrametric Functional Analysis About this Title. Diarra, A. Escassut, A. Katsaras and L. Narici, Editors. Publication: Contemporary Mathematics Publication Year Volume ISBNs: (print); (online).

Articles included in this book feature recent developments in various areas of non-Archimedean analysis: summation of \(p\)-adic series, rational maps on the projective line over \(\mathbb{Q}p\), non-Archimedean Hahn-Banach theorems, ultrametric Calkin algebras, \(G\)-modules with a convex base, non-compact Trace class operators and Schatten.

Ultrametric calculus: an introduction to p-adic analysis. [Wilhelmus Hendricus Schikhof] -- "This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject.

Ultrametric calculus: an introduction to p-adic analysis. [Wilhelmus Hendricus Schikhof; Cambridge University Press.] -- This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject.

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).Brand: Springer India.

Number Theory Books, P-adic Numbers, p-adic Analysis and Zeta-Functions, (2nd edn.)N. Koblitz, Graduate T Springer Algorithmic Number Theory, Vol. 1, E. Bach and J. Shallit, MIT Press, August ; Automorphic Forms and Representations, D.

Bump, CUP ; Notes on Fermat's Last Theorem, A.J. van der Poorten, Canadian Mathematical Society Series of Monographs and Advanced.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.

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).Brand: Springer India.