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61. Mathematical Subject Classification
theory See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70XX 39-XX Differenceand functional equations 40-XX sequences, series, summability 41-XX
http://usuarios.bitmailer.com/ldeguzman/lille/amssubject/msc.html
2000 Mathematics Subject Classification
Search the MSC
Browse the MSC Entire MSC2000 in PDF How to Apply the MSC
The Mathematics Subject Classification (MSC) is used to categorize items covered by the two reviewing databases, Mathematical Reviews (MR) and Zentralblatt MATH (Zbl). The MSC is broken down into over 5,000 two-, three-, and five-digit classfications, each corresponding to a discipline of mathematics (e.g., 11 = Number theory; 11B = Sequences and sets; 11B05 = Density, gaps, topology). The current classification system, 2000 Mathematics Subject Classification (MSC2000), is a revision of the 1991 Mathematics Subject Classification, which is the classification that has been used by MR and Zbl since the beginning of 1991. MSC2000 is the result of a collaborative effort by the editors of MR and Zbl to update the classification. The editors acknowledge the many helpful suggestions from the mathematical community during the revision process. Changes at the 2-digit level Conversion Tables
##### Search the 2000 MSC
Keyword 1: AND Keyword 2 (optional):
• The search is not case-sensitive.

62. Mathematical Review 1991 Subject Classification
40XX sequences, series, summability; 41-XX Approximations and expansions, {Forall approximation theory in the complex domain, See {30Exx} {30E05 and 30E10
http://www.elsevier.nl/homepage/sak/msc/msc.htm
##### 1991 Mathematics Subject Classification
This is version 1.0 (August 1994) of a hypertext version of the MSC, prepared by Chris Eilbeck of Heriot-Watt University, Edinburgh. If you have any comments regarding this implementation, please email the author (chris@ma.hw.ac.uk), quoting the version number. Elsevier Science adopts this scheme for its publications with the kind permission of the American Mathematical Society. An introduction to the current (1991) MSC, and instructions on how to use it, are available.

63. Wiskunde 2e Helft 20e Eeuw
differential equations 37 Dynamical systems and ergodic theory 39 Difference andfunctional equations 40 sequences, series, summability 41 Approximations and
http://remote.science.uva.nl/~thk/edu/studium/
##### Lezing op 12 februari 2001 door Tom Koornwinder in het UvA Studium Generale "Een cultuurgeschiedenis van de wiskunde"
Details zullen geleidelijk worden toegevoegd.
##### Groei aantal wiskunde-artikelen
Artikelen worden gedocumenteerd in:
gedurende 1945-1990:
• groei van 7% per jaar
• verdubbeling jaarproductie in 10 jaar

Schatting van aantal ooit gepubliceerde wiskunde-artikelen tot 2000:
1,5 miljoen artikelen

64. A Panorama Of Harmonic Analysis
set theory, integration theory and the theory of sequences and series. PreHistoryof Fourier Analysis; The Rudiments of Fourier series; summability of Fourier
http://www.maa.org/pubs/books/cam27.html
##### Steven G. Krantz

 65. EEVL | Full Record number theory, sequences, series, summability, encyclopaedia, base, sequence, continuedfraction expansion, decimal, core, dead, erroneous, dumb, unimportanthttp://www.eevl.ac.uk/show_full.htm?rec=991404787-2911

 66. EEVL | Full Record theory, ordinary, ODEs, PDEs, partial differential equations, finite differences,functional equations, sequences,series, summability, integral, operator theoryhttp://www.eevl.ac.uk/show_full.htm?rec=974889624-23459

67. Browse Via MSC
39, Difference and functional equations, 67, search, browse. 40, sequences, series,summability, 20, search, browse. 41, Approximations and expansions, 169, search,browse.
http://mathnet.preprints.org/msc2000/
Search all Preprints
Browse via MSC 1991
##### Browse or Search Preprints via MSC 2000:
MSC 2000 Number of Preprints General search browse History and biography [See also the classification number -03 search browse Mathematical logic and foundations search browse This section has been deleted search browse Combinatorics search browse Order, lattices, ordered algebraic structures search browse General algebraic systems search browse Number theory search browse Field theory and polynomials search browse Commutative rings and algebras search browse Algebraic geometry search browse Linear and multilinear algebra; matrix theory search browse Associative rings and algebras search browse Nonassociative rings and algebras search browse Category theory; homological algebra search browse \$K\$-theory search browse Group theory and generalizations search browse Topological groups, Lie groups search browse Real functions search browse Measure and integration search browse Functions of a complex variable search browse Potential theory search browse Several complex variables and analytic spaces search browse Special functions (33-XX deals with the properties of functions as functions search browse Ordinary differential equations search browse Partial differential equations search browse Difference and functional equations search browse Sequences, series, summability

68. MPI MIS Leipzig - Preprints And Lecture Notes - MSC Numbers 4...
Browse MSCNumbers 40-XX, sequences, series, summability, 41-XX, Approximationsand expansions, 41A17, Inequalities in approximation(Bernstein
http://www.mis.mpg.de/preprints/index/msc_index_4.html
 Max Planck Institute for Mathematics in the Sciences Preprints and Lecture notes - MSC numbers 4... Publications Selected publications Popular-science (also in german) Preprints from: Lecture Notes Proceedings Technical Reports and Documentations Sorted Index The Institute Home About the Institute Research Groups People ... Activities (weekly talks) Conferences and Workshops Publications Public Relations (mostly german) Open positions Where to find the MPI Guest House Impressum WWW Other Max-Planck-Institutes Department of Mathematics and Computer Science IZBI (Interdisciplinary Centre for Bioinformatics) University of Leipzig City of Leipzig Mathematical Sites Physics Sites ... Browse MSC-Numbers 40-XX Sequences, series, summability 41-XX Approximations and expansions 42-XX Fourier analysis Singular integrals (CalderÃ³n-Zygmund, etc.) Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions 43-XX Abstract harmonic analysis 44-XX Integral transforms, operational calculus 45-XX Integral equations Fredholm integral equations 46-XX Functional analysis Summability and bases Sobolev spaces and other spaces of``smooth'' functions, embedding theorems, trace theorems

69. MSC 2000: Classifications MathÃ©matique - Mathematics Subject Classification
Partial differential equations 37XX Dynamical systems and ergodic theory 39-XX Differenceand functional equations 40-XX sequences, series, summability 41-XX
http://math-doc.ujf-grenoble.fr/MSC2000/index_en.html
Mathematics subject Classification 2000 Version franÃ§aise
##### Simple query by keyword
• Enter a keyword in english to get the associated codes.
• key-word :
• Click on one letter to search from the word index of the MSC 2000. A B C D ... Z
##### Browse the MSC 2000 from the principal sections
00-XX General
01-XX
History and biography
03-XX
Mathematical logic and foundations
05-XX
Combinatorics
06-XX
Order, lattices, ordered algebraic structures
08-XX
General algebraic systems
11-XX
Number theory
12-XX
Field theory and polynomials
13-XX
Commutative rings and algebras
14-XX
Algebraic geometry 15-XX Linear and multilinear algebra; matrix theory (finite and infinite) 16-XX Associative rings and algebras 17-XX Nonassociative rings and algebras 18-XX Category theory, homological algebra 19-XX K-theory 20-XX Group theory and generalizations 22-XX Topological groups, Lie groups

70. Section Descriptions
39, Difference and functional equations. 40, sequences, series, summability. 41,Approximations and expansions. 42, Fourier analysis. 43, Abstract harmonic analysis.
http://www.icm2002.org.cn/B/2000msc.htm
Welcome What's New General Information Organization ... FAQ
##### 2000 Mathematics Subject Classification
No. Subject Name General History and biography Mathematical logic and foundations Combinatorics Order, lattices, ordered algebraic structures General algebraic systems Number theory Field theory and polynomials Commutative rings and algebras Algebraic geometry Linear and multilinear algebra; matrix theory Associative rings and algebras Nonassociative rings and algebras Category theory, homological algebra K-theory Group theory and generalizations Topological groups, Lie groups Real functions Measure and integration Functions of a complex variable Potential theory Several complex variables and analytic spaces Special functions Ordinary differential equations Partial differential equations Dynamical systems and ergodic theory Difference and functional equations Sequences, series, summability Approximations and expansions Fourier analysis Abstract harmonic analysis Integral transforms, operational calculus Integral equations Functional analysis Operator theory Calculus of variations and optimal control; optimization

71. Bibliothek Des Mathematischen Seminars - MSC 2000 (Grobstruktur)
and ergodic theory See also 26A, 34C, 34D, 35B, 46L, 58J, 70 39 Difference andfunctional equations 40 sequences, series, summability 41 Approximations and
http://www.math.uni-frankfurt.de/lib/msc2000grob.html
##### Bibliothek des Mathematischen Seminars
2000 Mathematics Subject Classification
The Mathematics Subject Classification (MSC) is used to categorize items covered by the two reviewing databases, Mathematical Reviews (MR) and Zentralblatt MATH (Zbl). The MSC is broken down into over 5,000 two-, three-, and five-digit classfications, each corresponding to a discipline of mathematics (e.g., 11 = Number theory; 11B = Sequences and sets; 11B05 = Density, gaps, topology). The current classification system, 2000 Mathematics Subject Classification (MSC2000), is a revision of the 1991 Mathematics Subject Classification, which is the classification that has been used by MR and Zbl since the beginning of 1991. MSC2000 is the result of a collaborative effort by the editors of MR and Zbl to update the classification. The editors acknowledge the many helpful suggestions from the mathematical community during the revision process.

00 General
01 History and biography [See also the classification number -03 in the other sections]
03 Mathematical logic and foundations

 72. Editions Jacques Gabay - HARDY : Divergent Series Riesz s arithmetic means. Uniformly distributed sequences. Integrals. - Thebinomial series. - summability of some particularly important special series.http://www.gabay.com/sources/Liste_Fiche.asp?CV=83

 73. YYÃ Web Sitesi Balkanica New series Vol.11, No12, (1997 Strongly Almost A-summability and almost SomeSpaces of Almost Summable and Bounded sequencesÂ, Fractional Calculushttp://www.yyu.edu.tr/calismaayrinti.asp?sicilno=422

theorem, the BolzanoWeierstrass Theorem, fundamental sequences, limits supremum Fourierseries summability of Fourier series, growth of Fourier coefficients
##### General Presentation
• This course should be better called Introduction to Analysis; We have adopted the textbook An Introduction to Analysis, 2nd Edition, by W.P. Wade, Prentice-Hall, 2000;
##### A few words about Analysis:
This is the first opportunity to lay the foundation of a rigorous approach to analysis. In the calculus course, students have been trained mainly in how to handle derivatives and integrals, but analysis is much more than this. We start with four postulates, plus the basic objects and axioms from the set theory. From here we develop an axiomatic system and prove rigorously all the theorems that make this system.
Analysis is about combined structures: algebraic, order and topological. The analytical ideas are present almost in all other domains of mathematics and the aim of this course is to give the basic results and mathematical objects of analysis that any mathematician will need under most of the circumstances.
##### What is covered in this course - Fall Semester:
I. ONE-DIMENSIONAL THEORY

75. Mathematical Subject Classification (MSC 2000)
39XX, Difference and functional equations. 40-XX, sequences, series,summability. 41-XX, Approximations and expansions {For all approximation
Preprints
Suche
##### Mathematical Subject Classification (MSC 2000)
Browse the MSC Entire MSC2000 in PDF The Mathematics Subject Classification (MSC) is used to categorize items covered by the two reviewing databases, Mathematical Reviews (MR) and Zentralblatt MATH (Zbl). The MSC is broken down into over 5,000 two-, three-, and five-digit classfications, each corresponding to a discipline of mathematics (e.g., 11 = Number theory; 11B = Sequences and sets; 11B05 = Density, gaps, topology). The current classification system, 2000 Mathematics Subject Classification (MSC2000), is a revision of the 1991 Mathematics Subject Classification, which is the classification that has been used by MR and Zbl since the beginning of 1991. MSC2000 is the result of a collaborative effort by the editors of MR and Zbl to update the classification. The editors acknowledge the many helpful suggestions from the mathematical community during the revision process. Changes at the 2-digit level Conversion Tables
##### Browse the 2000 MSC
00-XX General 01-XX History and biography [See also the classification number -03 in the other sections] 03-XX Mathematical logic and foundations 04-XX 05-XX 06-XX Order, lattices, ordered algebraic structures [See also

76. Science & Engineering: Mathematics And Statistics - McMaster University Librarie
Partial differential equations. Finite differences and functional equations. sequences,series, summability. Approximations and expansions. Fourier analysis.
http://library.lib.mcmaster.ca/cat-coll/coll/policies/mas.htm
Science and Engineering Mathematics and Statistics
##### GENERAL PURPOSE
To provide the materials necessary to support the undergraduate and graduate course instruction program in Mathematics and Mathematical Statistics, the graduate thesis research program and the research activities of the Faculty. In certain areas of study, where necessary to accomplish these objectives, the Department is building comprehensive research collections.
##### Languages
Most monographs and periodical material selected is in English, but French, German and Russian language monographs and periodicals are also acquired in large numbers. Monographs and Serials in other languages are acquired infrequently.
Monographs in non-Western languages are selected least of all, but Periodicals such as Scientia Sinica are definitely selected, since a great number of the articles they contain are in Western languages.
##### Geographical Areas
Materials are collected from all parts of the world, but mostly from the United States and Western Europe.

 77. MSC91 VerÃ¶ffentlichen. 40XX sequences, series, summability ( 0 Dok.). ; 40B05 Multiplesequences and series ( 0 Dok.); 40Cxx General summability methods ( 0 Dok.http://archiv.ub.uni-heidelberg.de/volltextserver/msc_ebene2.php?zahl=40&anzahl=

78. MSRI Workshops By MSC Classification
equations 37 Dynamical systems and ergodic theory 39 Finite differences and functionalequations 40 sequences, series, summability 41 Approximations and
http://zeta.msri.org/calendar/msc_index
 Past Workshop Listing by 2 digit Mathematical Subject Classification ( http://www.ams.org/msc 00 General 01 History and biography 03 Mathematical logic and foundations 04 Set theory 05 Combinatorics 06 Order, lattices, ordered algebraic structures 08 General algebraic systems 11 Number theory 12 Field theory and polynomials 13 Commutative rings and algebras 14 Algebraic geometry ... 16 Associative rings and algebras 17 Nonassociative rings and algebras 18 Category theory, homological algebra 19 K-theory 20 Group theory and generalizations 22 Topological groups, Lie groups 26 Real functions 28 Measure and integration 30 Functions of a complex variable 31 Potential theory 32 Several complex variables and analytic spaces 33 Special Functions 34 Ordinary differential equations 35 Partial differential equations 37 Dynamical systems and ergodic theory 39 Finite differences and functional equations 40 Sequences, series, summability

79. ONE-SIDED TAUBERIAN THEOREMS FOR DIRICHLET SERIES METHODS OF SUMMABILITY
results on power series methods of summability and, in asymptotic properties of theDirichlet series subject to to infer the boundedness of sequences from the
http://math.la.asu.edu/~rmmc/rmj/VOL31-3/BOR/BOR.html
##### ONE-SIDED TAUBERIAN THEOREMS FOR DIRICHLET SERIES METHODS OF SUMMABILITY
DAVID BORWEIN, WERNER KRATZ
##### Abstract:
We extend recently established two-sided or -Tauberian results concerning the summability method based on the Dirichlet series
to one-sided Tauberian results. More precisely, we formulate one-sided Tauberian conditions, under which -summability implies convergence. Our theorems contain various known results on power series methods of summability and, in the so-called high index case we even obtain a new result for such methods. Our method of proof uses asymptotic properties of the Dirichlet series subject to the assumption that and can be interpolated by smooth functions. In addition we develop refined Vijayaraghavan-type results which enable us to infer the boundedness of sequences from the boundedness of their -means and the one-sided Tauberian conditions.

80. Mathematical Subject Classification
ergodic theory See also 26A18, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70XX 39-XX Differenceand functional equations 40-XX sequences, series, summability 41-XX