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         Sequences Series Summability:     more books (24)
  1. Some theorems on Cesaro regular summability method for sequences and series by Wendell Neal, 1969
  2. The Rise and Development of the Theory of Series up to the Early 1820s (Sources and Studies in the History of Mathematics and Physical Sciences) by Giovanni Ferraro, 2010-11-02
  3. Summability of Multi-Dimensional Fourier Series and Hardy Spaces (Mathematics and Its Applications) by Ferenc Weisz, 2002-03-31
  4. Bifurcations and Periodic Orbits of Vector Fields (NATO Science Series C: (closed))
  5. Tauberian Theory: A Century of Developments (Grundlehren der mathematischen Wissenschaften) by Jacob Korevaar, 2010-11-02
  6. Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics) (Volume 0) by Rolf S. Krausshar, 2004-05-27
  7. The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates (Texts and Monographs in Symbolic Computation) by Manuel Kauers, Peter Paule, 2011-02-27
  8. Functional Equations - Results and Advances (ADVANCES IN MATHEMATICS Volume 3)
  9. A Concise Approach to Mathematical Analysis by Mangatiana A. Robdera, 2003-02-12
  10. Asymptotics of Linear Differential Equations (Mathematics and Its Applications) by M.H. Lantsman, 2010-11-02
  11. Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos (Developments in Mathematics) by Krishnaswami Alladi, P.D.T.A. Elliott, et all 2010-11-02
  12. Classification and Approximation of Periodic Functions (Mathematics and Its Applications) by A.I. Stepanets, 1995-07-31
  13. Fourier Analysis and Approximation of Functions by Roald M. Trigub, Eduard S. Belinsky, 2010-11-02
  14. Walsh Equiconvergence of Complex Interpolating Polynomials (Springer Monographs in Mathematics) by Amnon Jakimovski, Ambikeshwar Sharma, et all 2010-11-02

1. 40: Sequences, Series, Summability
Jan 17, 2000 40 Sequences, series, summability. Introduction. Sequences and series are really just the most common examples of limiting processes;
http://www.math.niu.edu/~rusin/known-math/index/40-XX.html
Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
POINTERS: Texts Software Web links Selected topics here
40: Sequences, series, summability
Introduction
Sequences and series are really just the most common examples of limiting processes; convergence criteria and rates of convergence are as important as finding "the answer". (In the case of sequences of functions, it's also important do find "the question"!) Particular series of interest (e.g. Taylor series of known functions) are of interest, as well as general methods for computing sums rapidly, or formally. Series can be estimated with integrals, their stability can be investigated with analysis. Manipulations of series (e.g. multiplying or inverting) are also of importance.
History
Applications and related fields
Sequences are discussed here, but for sequences of integers and their number-theoretic properties, see number theory Finite trigonometric sums are treated in 11L: Exponential sums and character sums The general question of whether or not a function defined by a series can be evaluated simply in terms of "known" functions is delicate; by analogy with differential equations, it is possible to deduce some answers using the tools of 12H: Differential and difference algebra
Subfields
  • Convergence and divergence of infinite limiting processes
  • Multiple sequences and series (should also be assigned at least one other classification number in this section)
  • General summability methods
  • Direct theorems on summability

2. Wikipedia:WikiProject Mathematics/PlanetMath Exchange/40-XX Sequences, Series, S
40XX Sequences, series, summability. This list will be periodically updated. Each entry in the list has three fields PM The first field is the link to
http://en.wikipedia.org/wiki/Wikipedia:WikiProject_Mathematics/PlanetMath_Exchan
Wikipedia:WikiProject Mathematics/PlanetMath Exchange/40-XX Sequences, series, summability
From Wikipedia, the free encyclopedia Wikipedia:WikiProject Mathematics PlanetMath Exchange Jump to: navigation search This page provides a list of all articles available at PlanetMath in the following topic:
40-XX Sequences, series, summability
This list will be periodically updated. Each entry in the list has three fields:
  • PM WP Status status entries are:
  • Status means PM article N not needed A adequately covered C copied M merged NC needs copying NM needs merging
    • Please update the WP and Status fields as appropriate. if the WP field is correct please remove the qualifier "guess". If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link. If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry. If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
    Don't forget to include the relevant template if you copy over text or feel like an external link is warranted See the main page for examples and usage criteria.

    3. About "Sequences, Series, Summability"
    A short article designed to provide an introduction to sequences and series, the most common examples of limiting......Author Dave Rusin; The Mathematical Atlas
    http://mathforum.org/library/view/7601.html
    Sequences, Series, Summability
    Library Home
    Full Table of Contents Suggest a Link Library Help
    Visit this site: http://www.math.niu.edu/~rusin/known-math/index/40-XX.html Author: Dave Rusin; The Mathematical Atlas Description: A short article designed to provide an introduction to sequences and series, the most common examples of limiting processes; convergence criteria and rates of convergence are as important as finding "the answer." Particular series of interest (e.g. Taylor series of known functions) are of interest, as well as general methods for computing sums rapidly, or formally. Series can be estimated with integrals, their stability can be investigated with analysis. Manipulations of series (e.g. multiplying or inverting) are also of importance. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. Levels: College Languages: English Resource Types: Articles Math Topics: Sequences and Series
    Home
    The Math Library Quick Reference ... Help
    http://mathforum.org/
    The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies

    4. Subject: 40-xx Sequences, Series, Summability - Armenian Journal Of Mathematics
    Sargsyan, Artsrun (2010) Nonlinear approximation with respect to the FaberShauder system and greedy algorithm. PhD thesis, Russian-Armenian (Slavonic) University .
    http://ajm.asj-oa.am/view/subjects/40.html
    @import url(http://ajm.asj-oa.am/style/auto.css); @import url(http://ajm.asj-oa.am/style/print.css); @import url(http://ajm.asj-oa.am/style/nojs.css); Armenian Journal of Mathematics

    5. Math On The Web: Mathematics By Classifications
    39 Finite differences and functional equations; 40 Sequences, series, summability; 41 Approximations and expansions; 42 Fourier analysis
    http://www.ams.org/mathweb/mi-mathbyclass.html
    Mathematics
    on the
    Web Materials Organized by
    MSC Classification AMS Website Math on the Web Mathematics by Classification The Table of Contents lists the main sections of the Mathematics Subject Classification . Under each heading may be found some links to electronic journals, preprints, Web sites and pages, databases and other pertinent material. There is also a page of Materials Organized by Mathematical Topics
    Table of Classes
    00 General
    Mathematical Awareness Month Math in the Media [Monthly magazine from the AMS] AMS Feature Column [Monthly essay from the AMS] MAA Online Columns Collection [Peterson, Devlin, Bogomolny, Pegg, Sandifer, Morgan, Sience News]

    6. MIMS EPrints - Subject: 40 Sequences, Series, Summability
    Subject 40 Sequences, series, summability. MIMS Preprint Server Subjects (1133) MSC 2000, the AMS s Mathematics Subject Classification (1085)
    http://eprints.ma.man.ac.uk/view/subjects/MSC_40.html
    @import url(http://eprints.ma.man.ac.uk/eprints.css); @import url(http://eprints.ma.man.ac.uk/eprints.css); @import url(http://eprints.ma.man.ac.uk/print.css); You are here: MIMS EPrints MIMS EPrints MIMS EPrints home about browse search ... postgraduate admissions
    Subject: 40 Sequences, series, summability

    7. Items Where Subject Is "O - Z > Sequences, Series, Summability" - The Mathematic
    The Mathematical Institute, University of Oxford, Eprints Archive is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University
    http://eprints.maths.ox.ac.uk/view/subjects/M40.html
    @import url(/style/auto.css); @import url(/style/print.css); @import url(/style/nojs.css); The Mathematical Institute, University of Oxford, Eprints Archive

    8. MSC 2000: Classifications Mathématique - Mathematics Subject Classification
    40XX Sequences, series, summability 41-XX Approximations and expansions 42-XX Fourier analysis 43-XX Abstract harmonic analysis 44-XX Integral transforms, operational calculus
    http://www-mathdoc.ujf-grenoble.fr/MSC2000/
    La Classification Mathématique par Matières 2000 Mathematics subject Classification 2000 English version Quelques explications généralités interrogations ... comparaison 1991 vs 2000
    Recherche simple par mot-clé (en anglais)
    • Entrez un mot-clé en anglais pour obtenir les codes associés.
      Mot-clé : Cliquez sur une lettre pour engager une recherche à partir de l'index des mots de la classification 2000 (en anglais A B C D ... Z
    Navigation à travers la MSC 2000 à partir des chapitres principaux
    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)

    9. Universidade Federal De Santa Catarina -…Translate This PageSequences, Series,
    40 Sequences, series, summability 41 Approximations and expansions 42 Fourier analysis 43 Abstract harmonic analysis 44 Integral transforms, operational calculus
    http://aspro01.npd.ufsc.br/biblioteca/asp/pbasbi2.asp?codAcervo=6000118&codB

    10. PlanetMath:
    40XX - Sequences, series, summability. 40-00-General reference works (handbooks, dictionaries, bibliographies, etc
    http://planetmath.org/browse/categories/40-XX/
    (more info) Math for the people, by the people.
    donor list
    find out how Encyclopedia Requests ... Advanced search Login create new user name: pass: forget your password? Main Menu sections Encyclopædia
    Papers

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    ...
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    talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About Browsing MSC leaves only (Case insensitive substrings, use '-' to exclude) 40-XX - Sequences, series, summability General reference works (handbooks, dictionaries, bibliographies, etc.) Instructional exposition (textbooks, tutorial papers, etc.) Research exposition (monographs, survey articles) Historical (must also be assigned at least one classification number from Section 01) Explicit machine computation and programs (not the theory of computation or programming) Proceedings, conferences, collections, etc. Convergence and divergence of infinite limiting processes Multiple sequences and series General summability methods Direct theorems on summability Inversion theorems Absolute and strong summability Special methods of summability Functional analytic methods in summability Summability in abstract structures up top

    11. Sequences, Series, Summability
    40Axx Convergence and divergence of infinite limiting processes
    http://www.iwr.uni-heidelberg.de/groups/compalg/gruber/WWW/40-XXmon.html
      Sequences, series, summability
    40Axx Convergence and divergence of infinite limiting processes
    40B05 Multiple sequences and series
    40Cxx General summability methods
    40Dxx Direct theorems on summability
    40Exx Inversion theorems
    includes
    40F05 Absolute and strong summability
    40Gxx Special methods of summability
    40H05 Functional analytic methods in summability
    40J05 Summability in abstract structures

    12. CD Policy: Mathematics
    Sequences, series, summability; Fourier analysis; calculus of variations and optimal control. Geometry C(1) / B Convex sets and geometric inequalities; manifolds and
    http://www.wsulibs.wsu.edu/cdc/ScienceEngineering/math.htm
    Collection Development Policies:
    Mathematics
    Purpose: This collection supports teaching and research through the doctoral level in mathematics and astronomy. As this field considers the library its "laboratory," the Department of Pure and Applied Mathematics has sought to make this a thorough, high quality collection. Publications in these fields are also of interest to those studying and doing research in other scientific and technical fields, to statisticians, and to social scientists. General Collection Guidelines:
  • Languages: English is the primary language of collection, but purchases are also made in German, French, and Russian. Chronological Guidelines: Research interest is primarily in the twentieth century. Books dealing with historical, philosophical, and cultural aspects of mathematics are of interest but receive second priority. Geographical Guidelines: Not applicable. Treatment of the Subject: Lower-division textbooks generally are not purchased. Upper-division textbooks and popular works are acquired selectively. Emphasis is on graduate level texts and research material. Types of Material: Acquisitions are primarily in the form of monographs and periodicals, but also include proceedings/transactions of conferences, dictionaries, encyclopedias, directories, technical reports, microforms, and government documents in any suitable format. In addition, astronomy requires atlases, catalogs, and charts
  • 13. Employment Information In The Mathematical Sciences - Job Search
    Job Openings Specialty 40 Sequences, series, summability. RSS XML
    http://eims.ams.org/jobs/custom3/40-sequences-series-summability

    14. 40Xxx - Sequences, Series, Summability
    Editors. R.P. Agarwal G. Anastassiou T. Ando H. Araki A.G. Babenko D. Bainov N.S. Barnett H. Bor J. Borwein P.S. Bullen P. Cerone
    http://www.maths.soton.ac.uk/EMIS/journals/JIPAM/subj_classf/40Xxx.htm
    [40Xxx] Sequences, series, summability
    • Convergence and divergence of infinite limiting processes Convergence and divergence of series and sequences Convergence and divergence of continued fractions Direct theorems on summability Convergence factors and summability factors ] Absolute and strong summability ] Summability in abstract structures
    Editors R.P. Agarwal
    G. Anastassiou
    T. Ando
    H. Araki
    A.G. Babenko
    D. Bainov
    N.S. Barnett
    H. Bor
    J. Borwein
    P.S. Bullen
    P. Cerone S.H. Cheng L. Debnath S.S. Dragomir N. Elezovic A.M. Fink A. Fiorenza T. Furuta L. Gajek H. Gauchman C. Giordano F. Hansen D. Hinton A. Laforgia L. Leindler C.-K. Li L. Losonczi A. Lupas R. Mathias T. Mills G.V. Milovanovic R.N. Mohapatra B. Mond M.Z. Nashed C.P. Niculescu I. Olkin B. Opic B. Pachpatte Z. Pales C.E.M. Pearce J. Pecaric L.-E. Persson L. Pick I. Pressman S. Puntanen F. Qi A.G. Ramm T.M. Rassias A. Rubinov S. Saitoh J. Sandor S.P. Singh A. Sofo H.M. Srivastava K.B. Stolarsky G.P.H. Styan L. Toth

    15. Book Chair Meeting - CMTS - CSU, Chico
    sequences, series, summability, expansions, Fourier analysis, numerical analysis, approximations
    http://www.csuchico.edu/lacq/dept/handbook/math.html
    • Home People Mathematics and Statistics
      Program:
      BS in Mathematics. Options in Applied Mathematics, General Mathematics, and Statistics. Minors in Mathematics and Statistics. Single Subject Teaching Credential in Mathematics. Chronological Guidelines: None. Geographical Guidelines: None.
      Subject Collecting Level Foundations:

      Set theory, axiomatics, logarithms, model theory, mathematical
      philosophy, order, lattices, ordered algebraic structures,
      combinatorics, general mathematical systems, history, biographies
      cultural and social implications.

    16. MathGuide: Subject Class: Sequences, Series, Summability
    Subject Class, Number theory; Real functions; Measure and integration; Ordinary differential equations; Sequences, series, summability; Calculus of
    http://www.mathguide.de/cgi-bin/ssgfi/anzeige.pl?db=math/sc=40

    17. Nonlinear Approximation In L^1[0,1] With Respect To The Haar System - Armenian J
    40xx Sequences, series, summability 26-xx Real functions 41-xx Approximations and expansions ID Code 126 Deposited By Professor Anry Nersesyan Deposited On
    http://ajm.asj-oa.am/126/
    @import url(http://ajm.asj-oa.am/style/auto.css); @import url(http://ajm.asj-oa.am/style/print.css); @import url(http://ajm.asj-oa.am/style/nojs.css); Armenian Journal of Mathematics

    18. MathDiss Database - Error
    Subject Sequences, series, summability. and. Please use your browser s Back
    http://mathdiss.mathguide.de/cgi-bin/ssgfi/anzeige.pl?db=diss&sc=40

    19. 40 Sequences, Series, Summability
    Bhagchandani L.K., Mehra K.N. A Saalschutzian theorem for triple series. 102 (1969), pp. 319 322. Bor H. On absolute summability factors for $ \overline {N}, p_n _k$ summability
    http://www.math.ethz.ch/EMIS/journals/CMUC/cmucinde/cams-40.htm
    Bhagchandani L.K., Mehra K.N.
    A Saalschutzian theorem for triple series . 10:2 (1969), pp. 319 322.
    Bor H.
    . 32:3 (1991), pp. 435 439.
    Cassens P., Regan F.
    On generalized Lambert summability . 11:4 (1970), pp. 829 839.
    Set-theoretic characteristics of summability of sequences and convergence of series . 28:1 (1987), pp. 173 183.
    More on set-theoretic characteristics of summability of sequences by regular (Toeplitz) matrices . 29:1 (1988), pp. 97 102.

    20. Anthony Sofo
    Sequences, Series, Summability; Hypergeometric Summation; NonHypergoemetric Summation; Real Functions; Inequalities; Special Functions; Other Prefers papers to be sent electronically
    http://www.maths.soton.ac.uk/EMIS/journals/JIPAM/editors/sofo.html
    A nthony S ofo
    E ditor
    Email: sofo@matilda.vu.edu.au Telephone: Fax: URL: http://sci.vu.edu.au/scistaff/pages/0012.htm Address: School of Communications and Informatics,
    Victoria University of Technology,
    P.O Box 14428,
    Melbourne City MC,
    Victoria 8001, Australia Research Areas:
    • Sequences, Series, Summability Hypergeometric Summation Non-Hypergoemetric Summation Real Functions Inequalities Special Functions
    Other: Prefers papers to be sent electronically as L A T E X files with a copy in DVI or PDF format. Editors R.P. Agarwal
    G. Anastassiou
    T. Ando
    H. Araki
    A.G. Babenko
    D. Bainov
    N.S. Barnett H. Bor J. Borwein P.S. Bullen P. Cerone S.H. Cheng L. Debnath S.S. Dragomir N. Elezovic A.M. Fink A. Fiorenza T. Furuta L. Gajek H. Gauchman C. Giordano F. Hansen D. Hinton A. Laforgia L. Leindler C.-K. Li L. Losonczi A. Lupas R. Mathias T. Mills G.V. Milovanovic R.N. Mohapatra B. Mond M.Z. Nashed C.P. Niculescu I. Olkin B. Opic B. Pachpatte

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