跳至内容
Ramanujan's notebooks. part V 線上預覽
關閉線上預覽
正在查...

Ramanujan's notebooks. part V

作者: Srinivasa Ramanujan Aiyangar; Bruce C Berndt
出版商: New York : Springer-Verlag, ©1998.
版本/格式:   圖書 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:

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

評定級別:

(尚未評分) 0 附有評論 - 成爲第一個。

主題
更多類似這樣的

 

在圖書館查詢

&AllPage.SpinnerRetrieving; 正在查詢有此資料的圖書館...

詳細書目

文件類型: 圖書
所有的作者/貢獻者: Srinivasa Ramanujan Aiyangar; Bruce C Berndt
ISBN: 0387949410 9780387949413
OCLC系統控制編碼: 38869914
注意: Index.
描述: xiii, 624 p. ; 24 cm.
内容: 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.
責任: [edited by] Bruce C. Berndt.
更多資訊:

評論

讀者提供的評論
正在擷取GoodReads評論...
正在擷取DOGObooks的評論

標籤

成爲第一個

類似資料

相關主題:(1)

確認申請

你可能已經申請過這份資料。若還是想申請,請選確認。

連結資料


<http://www.worldcat.org/oclc/38869914>
library:oclcnum"38869914"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/38869914>
rdf:typeschema:Book
rdfs:seeAlso
schema:about
schema:about
schema:author
schema:contributor
schema:copyrightYear"1998"
schema:datePublished"1998"
schema:exampleOfWork<http://worldcat.org/entity/work/id/2642482>
schema:inLanguage"en"
schema:name"Ramanujan's notebooks."
schema:numberOfPages"624"
schema:publisher
schema:workExample
schema:workExample

Content-negotiable representations

關閉視窗

請登入WorldCat 

没有帳號嗎?你可很容易的 建立免費的帳號.