aller au contenu
Ramanujan's notebooks. part V Aperçu de cet ouvrage
FermerAperçu de cet ouvrage
Vérification...

Ramanujan's notebooks. part V

Auteur : Srinivasa Ramanujan Aiyangar; Bruce C Berndt
Éditeur : New York : Springer-Verlag, ©1998.
Édition/format :   Livre imprimé : EnglishVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :

Constitutes the fifth and final volume to establish the results claimed by the great Indian mathematician, Srinivasa Ramanujan in his "Notebooks".

Évaluation :

(pas encore évalué) 0 avec des critiques - Soyez le premier.

Sujets
Plus comme ceci

 

Trouver un exemplaire dans la bibliothèque

&AllPage.SpinnerRetrieving; Recherche de bibliothèques qui possèdent cet ouvrage...

Détails

Format : Book
Tous les auteurs / collaborateurs : Srinivasa Ramanujan Aiyangar; Bruce C Berndt
ISBN : 0387949410 9780387949413
Numéro OCLC : 38869914
Notes : Includes index.
Description : xiii, 624 p. ; 24 cm
Contenu : 32 Continued Fractions.- 1 The Rogers-Ramanujan Continued Fraction.- 2 Other q-Continued Fractions.- 3 Continued Fractions Arising from Products of Gamma Functions.- 4 Other Continued Fractions.- 5 General Theorems.- 33 Ramanujan's Theories of Elliptic Functions to Alternative Bases.- 1 Introduction.- 2 Ramanujan's Cubic Transformation, the Borweins' Cubic Theta-Function Identity, and the Inversion Formula.- 3 The Principles of Triplication and Trimidiation.- 4 The Eisenstein Series L, M, and N.- 5 A Hypergeometric Transformation and Associated Transfer Principle.- 6 More Higher Order Transformations for Hypergeometric Series.- 7 Modular Equations in the Theory of Signature 3.- 8 The Inversion of an Analogue of K (k) in Signature 3.- 9 The Theory for Signature 4.- 10 Modular Equations in the Theory of Signature 4.- 11 The Theory for Signature 6.- 12 An Identity from the First Notebook and Further Hypergeometric Transformations.- 13 Some Enigmatic Formulas Near the End of the Third Notebook.- 14 Concluding Remarks.- 34 Class Invariants and Singular Moduli.- 1 Introduction.- 2 Table of Class Invariants.- 3 Computation of Gnand gnwhen 9/n.- 4 Kronecker's Limit Formula and General Formulas for Class Invariants.- 5 Class Invariants Via Kronecker's Limit Formula.- 6 Class Invariants Via Modular Equations.- 7 Class Invariants Via Class Field Theory.- 8 Miscellaneous Results.- 9 Singular Moduli.- 10 A Certain Rational Function of Singular Moduli.- 11 The Modular j-invariant.- 35 Values of Theta-Functions.- 0 Introduction.- 1 Elementary Values.- 2 Nonelementary Values of.- 3 A Remarkable Product of Theta-Functions.- 36 Modular Equations and Theta-Function Identities in Notebook 1.- 1 Modular Equations of Degree 3 and Related Theta-Function Identities.- 2 Modular Equations of Degree 5 and Related Theta-Function Identities.- 3 Other Modular Equations and Related Theta-Function Identities.- 4 Identities Involving Lambert Series.- 5 Identities Involving Eisenstein Series.- 6 Modular Equations in the Form of Schlafli.- 7 Modular Equations in the Form of Russell.- 8 Modular Equations in the Form of Weber.- 9 Series Transformations Associated with Theta-Functions.- 10 Miscellaneous Results.- 37 Infinite Series.- 38 Approximations and Asymptotic Expansions.- 39 Miscellaneous Results in the First Notebook.- Location of Entries in the Unorganized Portions of Ramanujan's First Notebook.- References.
Responsabilité : [edited by] Bruce C. Berndt.

Critiques

Critiques d’utilisateurs
Récupération des critiques de GoodReads...
Récuperation des critiques DOGObooks…

Étiquettes

Soyez le premier.

Ouvrages semblables

Sujets associés :(2)

Confirmez cette demande

Vous avez peut-être déjà demandé cet ouvrage. Veuillez sélectionner OK si vous voulez poursuivre avec cette demande quand même.

Données liées


Primary Entity

<http://www.worldcat.org/oclc/38869914> # Ramanujan's notebooks. part V
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "38869914" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://dewey.info/class/510/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/3856361579#Topic/mathematiques> ; # Mathématiques
   schema:about <http://id.worldcat.org/fast/1012163> ; # Mathematics
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://experiment.worldcat.org/entity/work/data/3856361579#Person/berndt_bruce_c_1939> ; # Bruce C. Berndt
   schema:copyrightYear "1998" ;
   schema:creator <http://viaf.org/viaf/27132864> ; # Srinivasa Ramanujan Aiyangar
   schema:datePublished "1998" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/3856361579> ;
   schema:inLanguage "en" ;
   schema:name "Ramanujan's notebooks. part V" ;
   schema:numberOfPages "624" ;
   schema:productID "38869914" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/38869914#PublicationEvent/new_york_springer_verlag_1998> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/3856361579#Agent/springer_verlag> ; # Springer-Verlag
   schema:workExample <http://worldcat.org/isbn/9780387949413> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/38869914> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/3856361579#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
   schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/3856361579#Person/berndt_bruce_c_1939> # Bruce C. Berndt
    a schema:Person ;
   schema:birthDate "1939" ;
   schema:familyName "Berndt" ;
   schema:givenName "Bruce C." ;
   schema:name "Bruce C. Berndt" ;
    .

<http://id.worldcat.org/fast/1012163> # Mathematics
    a schema:Intangible ;
   schema:name "Mathematics" ;
    .

<http://viaf.org/viaf/27132864> # Srinivasa Ramanujan Aiyangar
    a schema:Person ;
   schema:birthDate "1887" ;
   schema:deathDate "1920" ;
   schema:familyName "Ramanujan Aiyangar" ;
   schema:givenName "Srinivasa" ;
   schema:name "Srinivasa Ramanujan Aiyangar" ;
    .

<http://worldcat.org/isbn/9780387949413>
    a schema:ProductModel ;
   schema:isbn "0387949410" ;
   schema:isbn "9780387949413" ;
    .


Content-negotiable representations

Fermer la fenêtre

Veuillez vous identifier dans WorldCat 

Dont have an account? You can easily créez un compte gratuit.