Arithmetic Differential Operators over the p-adic Integers / (Record no. 2733307)

MARC details
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control field ocn793359427
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110506s2012 enk ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781139084666
Qualifying information (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1139084666
Qualifying information (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107674141
Qualifying information (paperback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 110767414X
Qualifying information (paperback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107096219
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1107096219
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International Standard Book Number 9781107089945
Qualifying information (electronic bk.)
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International Standard Book Number 1107089948
Qualifying information (electronic bk.)
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International Standard Book Number 1299707351
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781299707351
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107101821
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International Standard Book Number 1107101824
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029 1# - (OCLC)
OCLC library identifier DEBSZ
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050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA241 .R25 2012
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 037000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.74
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Classification number SK 540
Source of number rvk
084 ## - OTHER CLASSIFICATION NUMBER
Classification number SK 620
Source of number rvk
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
245 00 - TITLE STATEMENT
Title Arithmetic Differential Operators over the p-adic Integers /
Statement of responsibility, etc Claire C. Ralph, Santiago R. Simanca.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cambridge :
Name of publisher, distributor, etc Cambridge University Press,
Date of publication, distribution, etc 2012.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (146 pages)
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490 1# - SERIES STATEMENT
Series statement London Mathematical Society Lecture Note Series ;
Volume number/sequential designation no. 396
500 ## - GENERAL NOTE
General note Title from publishers bibliographic system (viewed 15 Feb 2012).
520 ## - SUMMARY, ETC.
Summary, etc A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
505 0# - FORMATTED CONTENTS NOTE
Linkage 880-01
Formatted contents note Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 135-137) and index.
546 ## - LANGUAGE NOTE
Language note English.
590 ## - LOCAL NOTE (RLIN)
Local note eBooks on EBSCOhost
Provenance (VM) [OBSOLETE] EBSCO eBook Subscription Academic Collection - Worldwide
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential operators.
9 (RLIN) 177201
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Arithmetic functions.
9 (RLIN) 150963
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element p-adic numbers.
9 (RLIN) 303074
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Opérateurs différentiels.
9 (RLIN) 865344
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Fonctions arithmétiques.
9 (RLIN) 865345
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Nombres p-adiques.
9 (RLIN) 865346
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Functional Analysis.
Source of heading or term bisacsh
9 (RLIN) 865347
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Arithmetic functions.
Source of heading or term fast
-- (OCoLC)fst00814523
9 (RLIN) 150963
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential operators.
Source of heading or term fast
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element p-adic numbers.
Source of heading or term fast
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentialoperator
Source of heading or term gnd
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650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element p-adische Zahl
Source of heading or term gnd
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655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ralph, Claire C.
9 (RLIN) 303073
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Simanca, S. R.
Fuller form of name (Santiago R.)
9 (RLIN) 303075
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9781107674141
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title London Mathematical Society lecture note series ;
Volume number/sequential designation no. 396.
9 (RLIN) 144795
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569368">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569368</a>
880 8# - ALTERNATE GRAPHIC REPRESENTATION
Linkage 505-01/(S
a 6 A general view of arithmetic differential operators6.1 Basic algebraic concepts; 6.2 General δp-functions: arithmetic jet spaces; 6.3 The analogue of a δp-linear operators for group schemes; 6.4 Multiple primes II; 7 Analyticity of arithmetic differential operators; 8 Characteristic functions of discs in Zp: p-adic coordinates; 8.1 Characteristic functions of discs of radii 1/p; 8.2 Characteristic functions of discs of radii 1/pn; 9 Characteristic functions of discs in Zp: harmonic arithmetic coordinates; 9.1 A matrix associated to pm.
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