コンテンツへ移動
Euler through time : a new look at old themes 資料のプレビュー
閉じる資料のプレビュー
確認中…

Euler through time : a new look at old themes

著者: V S Varadarajan
出版: Providence, R.I. : American Mathematical Society, ©2006.
エディション/フォーマット:   書籍 : Biography : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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  続きを読む
評価:

(まだ評価がありません) 0 件のレビュー - 是非あなたから!

件名:
関連情報:

 

オフラインで入手

&AllPage.SpinnerRetrieving; この資料の所蔵館を検索中…

詳細

ジャンル/形式: History
関連の人物: Leonhard Euler; Leonhard Euler; Leonhard Euler
資料の種類: Biography, インターネット資料
ドキュメントの種類: 図書, インターネットリソース
すべての著者/寄与者: V S Varadarajan
ISBN: 0821835807 9780821835807
OCLC No.: 62493606
物理形態: viii, 302 p. : facsims. ; 27 cm.
コンテンツ: Leonhard Euler (1707-1783) --
The Universal mathematician --
Zeta values --
Euler-Maclaurin sum formula --
Divergent series and integrals --
Euler products.
責任者: V.S. Varadarajan.
その他の情報:

概要:

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  続きを読む

レビュー

ユーザーレビュー
GoodReadsのレビューを取得中…
DOGObooksのレビューを取得中…

タグ

まずはあなたから!
リクエストの確認

あなたは既にこの資料をリクエストしている可能性があります。このリクエストを続行してよろしければ、OK を選択してください。

リンクデータ


<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

ウインドウを閉じる

WorldCatにログインしてください 

アカウントをお持ちではないですか?簡単に 無料アカウントを作成することができます。.