컨텐츠로 이동
The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae 해당 항목을 미리보기
닫기해당 항목을 미리보기
확인중입니다…

The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae

저자: Catherine Goldstein, (Mathematician); Norbert Schappacher; Joachim Schwermer
출판사: Berlin : Springer, ©2007.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model  더 읽기…
평가:

(아무런 평가가 없습니다.) 0 리뷰와 함께 - 첫번째로 올려주세요.

주제
다음과 같습니다:

 

온라인으로 문서 찾기

도서관에서 사본 찾기

&AllPage.SpinnerRetrieving; 해당항목을 보유하고 있는 도서관을 찾는 중

상세정보

장르/형태: Electronic books
추가적인 물리적 형식: Print version:
Shaping of arithmetic.
Berlin : Springer, c2007
(DLC) 2006932291
(OCoLC)80740189
명시된 사람: Carl Friedrich Gauss
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Catherine Goldstein, (Mathematician); Norbert Schappacher; Joachim Schwermer
ISBN: 9783540204411 3540204415 9783540347200 3540347208 1280804068 9781280804069
OCLC 번호: 159934245
메모: Includes index.
설명: 1 online resource (x, 578 p.) : 36 ill.
내용: I. A Book's History. - C. Goldstein, N. Schappacher. II. Algebraic Equations, Quadratic Forms, Higher Congruences: Key Mathematical Techniques of the Disquistiones. - O. Neumann: The Disquisitiones Arithmeticae and the Theory of Equations.- H.M. Edwards: Composition of Binary Quadratic Forms and the Foundations of Mathematics.- D. Fenster, J. Schwermer: Composition of Quadratic Forms: An Algebraic Perspective.- G. Frei: Gauss's Unpublished Section Eight: On the Way to Function Fields over a Finite Field.- III. The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas. - H. Pieper: A Network of Scientific Philanthropy: Humboldt's Relations with Number Theorists.- J. Ferreiros: The Rise of Pure Mathematics as Arithmetic after Gauss.- IV. Complex Numbers and Complex Functions in Arithmetic.- R. Bolling: From Reciprocity Laws to Ideal Numbers: An (Un)Known 1844 Manuscript by E.E. Kummer.- C. Houzel: Elliptic Functions and Arithmetic. V. Numbers as Model Objects of Mathematics.- J. Boniface: The Concept of Number from Gauss to Kronecker.- B. Petri, N. Schappacher: On Arithmetization. VI. Number Theory in France in the Second Half of the Nineteenth Century.- C. Goldstein: Hermitian Forms of Reading the Disquisitiones Arithmeticae.- A.-M. Decaillot: Number Theory at the Association francaise pour l'avancement des sciences.- VII. Spotlighting Some Later Reactions.- A. Brigaglia: An Overview on Italian Arithmeitc after the Disquistiones Arithmeticae. P. Piazza: Zolotarev's Theory of Algebraic Numbers.- D. Fenster: Gauss Goes West: The Reception of the Disquistiones Arithmeticae in the USA. VIII. Gauss's Theorem in the Long Run: Three Case Studies.- J. Schwermer: Reduction Theory of Quadratic Forms: Toward Raumliche Anschauung in Minkowski's Early Work.- S. J. Patterson: Gauss Sums.- F. Lemmermeyer: The Principal Genus Theorem.- List of Illustrations.- Index.- Author's Addresses.
책임: Catherine Goldstein, Norbert Schappacher, Joachim Schwermer, editors.

초록:

Since its publication, C F Gauss' "Disquisitiones Arithmeticae" (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; and as a  더 읽기…

리뷰

편집자의 리뷰

출판사 줄거리

From the reviews: "A book that traces the profound effect Gauss's masterpiece has had on mathematics over the past two centuries. ... The shaping of arithmetic is a major accomplishment, one which 더 읽기…

 
사용자-기여 리뷰
GoodReads 리뷰 가져오는 중…
DOGObooks 리뷰를 가지고 오는 중…

태그

첫번째 되기
요청하신 것을 확인하기

이 항목을 이미 요청하셨을 수도 있습니다. 만약 이 요청을 계속해서 진행하시려면 Ok을 선택하세요.

링크된 데이터


<http://www.worldcat.org/oclc/159934245>
library:oclcnum"159934245"
library:placeOfPublication
library:placeOfPublication
rdf:typeschema:Book
rdf:typeschema:MediaObject
rdf:valueUnknown value: dct
schema:about
schema:about
schema:about
schema:about
schema:about
schema:bookFormatschema:EBook
schema:contributor
schema:contributor
schema:contributor
schema:copyrightYear"2007"
schema:datePublished"2007"
schema:description"The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model of organisation and theory building; and of course as a source of mathematical inspiration. Various readings of the "Disquisitiones Arithmeticae" have left their mark on developments as different as Galois's theory of algebraic equations, Lucas's primality tests, and Dedekind's theory of ideals. The present volume revisits successive periods in the reception of the Disquisitiones: it studies which parts were taken up and when, which themes were further explored. It also focuses on how specific mathematicians reacted to Gauss's book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. An astounding variety of research programmes in the theory of numbers can be traced back to it.; The 19 authors - mathematicians, historians, philosophers - who have collaborated on this volume contribute in-depth studies on the various aspects of the bicentennial voyage of this mathematical text through history, and the way that the number theory we know today came into being."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/866283100>
schema:genre"Electronic books"@en
schema:inLanguage"en"
schema:name"The shaping of arithmetic after C.F. Gauss's Disquisitiones Arithmeticae"@en
schema:numberOfPages"578"
schema:publication
schema:publisher
schema:url<http://rave.ohiolink.edu/ebooks/ebc/9783540347200>
schema:url<http://site.ebrary.com/id/10159296>
schema:url<http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=196869>
schema:url<http://site.ebrary.com/id/10159760>
schema:url<http://www.springerlink.com/openurl.asp?genre=book&isbn=978-3-540-20441-1>
schema:url<http://www.myilibrary.com?id=80406>
schema:url<http://dx.doi.org/10.1007/978-3-540-34720-0>
schema:workExample
schema:workExample
schema:workExample
umbel:isLike<http://d-nb.info/969104251>
wdrs:describedby

Content-negotiable representations

윈도우 닫기

WorldCat에 로그인 하십시오 

계정이 없으세요? 아주 간단한 절차를 통하여 무료 계정을 만드실 수 있습니다.