跳至内容
Euler through time : a new look at old themes 線上預覽
關閉線上預覽
正在查...

Euler through time : a new look at old themes

作者: V S Varadarajan
出版商: Providence, R.I. : American Mathematical Society, ©2006.
版本/格式:   圖書 : 傳記 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
Euler is one of the greatest and most prolific mathematicians of all time. He wrote the first accessible books on calculus, created the theory of circular functions, and discovered new areas of research such as elliptic integrals, the calculus of variations, graph theory, divergent series, and so on. It took hundreds of years for his successors to develop in full the theories he began, and some of his themes are  再讀一些...
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

類型/形式: History
提及的人: Leonhard Euler; Leonhard Euler; Leonhard Euler
資料類型: 傳記, 網際網路資源
文件類型: 圖書, 網路資源
所有的作者/貢獻者: V S Varadarajan
ISBN: 0821835807 9780821835807
OCLC系統控制編碼: 62493606
描述: viii, 302 p. : facsims. ; 27 cm.
内容: Leonhard Euler (1707-1783) --
The Universal mathematician --
Zeta values --
Euler-Maclaurin sum formula --
Divergent series and integrals --
Euler products.
責任: V.S. Varadarajan.
更多資訊:

摘要:

Euler is one of the greatest and most prolific mathematicians of all time. This book examines his work and its relation to current mathematics. It also treats the progression of ideas regarding  再讀一些...

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
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/62493606>
library:oclcnum"62493606"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/62493606>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
<http://id.loc.gov/authorities/subjects/sh85120145>
rdf:typeschema:Intangible
schema:name"Sequences (Mathematics)--History--19th century."@en
schema:name"Sequences (Mathematics)--History--18th century."@en
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
<http://id.loc.gov/authorities/subjects/sh2010104016>
rdf:typeschema:Intangible
schema:name"Number theory--History--19th century."@en
schema:name"Number theory--History--18th century."@en
schema:copyrightYear"2006"
schema:creator
schema:datePublished"2006"
schema:description"Euler is one of the greatest and most prolific mathematicians of all time. He wrote the first accessible books on calculus, created the theory of circular functions, and discovered new areas of research such as elliptic integrals, the calculus of variations, graph theory, divergent series, and so on. It took hundreds of years for his successors to develop in full the theories he began, and some of his themes are still at the center of today's mathematics. It is of great interest therefore to examine his work and its relation to current mathematics. This book attempts to do that. In number theory the discoveries he made empirically would require for their eventual understanding such sophisticated developments as the reciprocity laws and class field theory. His pioneering work on elliptic integrals is the precursor of the modern theory of abelian functions and abelian integrals. His evaluation of zeta and multizeta values is not only a fantastic and exciting story but very relevant to us, because they are at the confluence of much research in algebraic geometry and number theory today (Chapters 2 and 3 of the book). Anticipating his successors by more than a century, Euler created a theory of summation of series that do not converge in the traditional manner. Chapter 5 of the book treats the progression of ideas regarding divergent series from Euler to many parts of modern analysis and quantum physics. The last chapter contains a brief treatment of Euler products. Euler discovered the product formula over the primes for the zeta function as well as for a small number of what are now called Dirichlet $L$-functions. Here the book goes into the development of the theory of such Euler products and the role they play in number theory, thus offering the reader a glimpse of current developments (the Langlands program)."@en
schema:description"Leonhard Euler (1707-1783) -- The Universal mathematician -- Zeta values -- Euler-Maclaurin sum formula -- Divergent series and integrals -- Euler products."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/46857812>
schema:genre"History"@en
schema:genre"History."@en
schema:inLanguage"en"
schema:name"Euler through time : a new look at old themes"@en
schema:numberOfPages"302"
schema:publisher
schema:url
schema:workExample
umbel:isLike<http://bnb.data.bl.uk/id/resource/GBA652884>

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.