컨텐츠로 이동
Elementary number theory : primes, congruences, and secrets : a computational approach 해당 항목을 미리보기
닫기해당 항목을 미리보기
확인중입니다…

Elementary number theory : primes, congruences, and secrets : a computational approach

저자: William A Stein
출판사: New York, NY : Springer, ©2009.
시리즈: Undergraduate texts in mathematics.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
The systematic study of number theory was initiated around 300B.C. when Euclid proved that there are infinitely many prime numbers. At the same time, he also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over 1000 years later (around 972A.D.) Arab mathematicians formulated the congruent number problem that asks for a way to  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:
Stein, William A., 1974-
Elementary number theory.
New York, NY : Springer, ©2009
(OCoLC)268798336
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: William A Stein
ISBN: 9780387855257 0387855254 0387855246 9780387855240 1281850969 9781281850966
OCLC 번호: 317545887
설명: 1 online resource (x, 166 pages) : illustrations.
내용: Prime numbers --
The ring of integers modulo n --
Public-key cryptography --
Quadratic reciprocity --
Continued fractions --
Elliptic curves.
일련 제목: Undergraduate texts in mathematics.
책임: William Stein.

초록:

Classical number theory and elliptic curves are examined in this textbook, which moves on from elementary topics such as primes, continued fractions, and quadratic forms, to elliptic curves and their  더 읽기…

리뷰

편집자의 리뷰

출판사 줄거리

From the reviews: "This one treats topics that have become standard in recent years ... and it has exercises with selected solutions. ... it gives the students a tool to do calculations that 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


Primary Entity

<http://www.worldcat.org/oclc/317545887> # Elementary number theory primes, congruences, and secrets : a computational approach
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "317545887" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/890884167#Place/new_york_ny> ; # New York, NY
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://id.worldcat.org/fast/1041214> ; # Number theory
    schema:about <http://dewey.info/class/512.7/e22/> ;
    schema:about <http://id.worldcat.org/fast/885455> ; # Curves, Elliptic
    schema:about <http://experiment.worldcat.org/entity/work/data/890884167#Topic/mathematics> ; # Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/890884167#Topic/mathematics_number_theory> ; # MATHEMATICS--Number Theory
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2009" ;
    schema:creator <http://viaf.org/viaf/86017564> ; # William A. Stein
    schema:datePublished "2009" ;
    schema:description "Prime numbers -- The ring of integers modulo n -- Public-key cryptography -- Quadratic reciprocity -- Continued fractions -- Elliptic curves."@en ;
    schema:description "The systematic study of number theory was initiated around 300B.C. when Euclid proved that there are infinitely many prime numbers. At the same time, he also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over 1000 years later (around 972A.D.) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another 1000 years later (in 1976), Diffie and Hellman introduced the first ever public-key cryptosystem, which enabled two people to communicate secretly over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, public-key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles' resolution of Fermat's Last Theorem. Today, pure and applied number theory is an exciting mix of simultaneously broad and deep theory, which is constantly informed and motivated by algorithms and explicit computation. Active research is underway that promises to resolve the congruent number problem, deepen our understanding into the structure of prime numbers, and both challenge and improve our ability to communicate securely. The goal of this book is to bring the reader closer to this world. Each chapter contains exercises, and throughout the text there are examples of calculations done using the powerful free open source mathematical software system Sage. The reader should know how to read and write mathematical proofs and must know the basics of groups, rings, and fields. Thus, the prerequisites for this book are more than the prerequisites for most elementary number theory books, while still being aimed at undergraduates. William Stein is an Associate Professor of Mathematics at the University of Washington. He is also the author of Modular Forms, A Computational Approach (AMS 2007), and the lead developer of the open source software, Sage."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/890884167> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0172-6056> ; # Undergraduate texts in mathematics,
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/890884167#Series/undergraduate_texts_in_mathematics> ; # Undergraduate texts in mathematics.
    schema:isSimilarTo <http://www.worldcat.org/oclc/268798336> ;
    schema:name "Elementary number theory primes, congruences, and secrets : a computational approach"@en ;
    schema:productID "317545887" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/317545887#PublicationEvent/new_york_ny_springer_2009> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/890884167#Agent/springer> ; # Springer
    schema:url <http://dx.doi.org/10.1007/b13279> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=261571> ;
    schema:url <http://www.myilibrary.com?id=185096> ;
    schema:url <http://site.ebrary.com/id/10257911> ;
    schema:url <http://www.myilibrary.com?id=185096&ref=toc> ;
    schema:url <http://0-dx.doi.org.skyline.cudenver.edu/10.1007/b13279> ;
    schema:workExample <http://dx.doi.org/10.1007/b13279> ;
    schema:workExample <http://worldcat.org/isbn/9780387855257> ;
    schema:workExample <http://worldcat.org/isbn/9781281850966> ;
    schema:workExample <http://worldcat.org/isbn/9780387855240> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/317545887> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/890884167#Series/undergraduate_texts_in_mathematics> # Undergraduate texts in mathematics.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/317545887> ; # Elementary number theory primes, congruences, and secrets : a computational approach
    schema:name "Undergraduate texts in mathematics." ;
    .

<http://experiment.worldcat.org/entity/work/data/890884167#Topic/mathematics_number_theory> # MATHEMATICS--Number Theory
    a schema:Intangible ;
    schema:name "MATHEMATICS--Number Theory"@en ;
    .

<http://id.worldcat.org/fast/1041214> # Number theory
    a schema:Intangible ;
    schema:name "Number theory"@en ;
    .

<http://id.worldcat.org/fast/885455> # Curves, Elliptic
    a schema:Intangible ;
    schema:name "Curves, Elliptic"@en ;
    .

<http://viaf.org/viaf/86017564> # William A. Stein
    a schema:Person ;
    schema:birthDate "1974" ;
    schema:familyName "Stein" ;
    schema:givenName "William A." ;
    schema:name "William A. Stein" ;
    .

<http://worldcat.org/isbn/9780387855240>
    a schema:ProductModel ;
    schema:isbn "0387855246" ;
    schema:isbn "9780387855240" ;
    .

<http://worldcat.org/isbn/9780387855257>
    a schema:ProductModel ;
    schema:description "electronic bk." ;
    schema:isbn "0387855254" ;
    schema:isbn "9780387855257" ;
    .

<http://worldcat.org/isbn/9781281850966>
    a schema:ProductModel ;
    schema:isbn "1281850969" ;
    schema:isbn "9781281850966" ;
    .

<http://worldcat.org/issn/0172-6056> # Undergraduate texts in mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/317545887> ; # Elementary number theory primes, congruences, and secrets : a computational approach
    schema:issn "0172-6056" ;
    schema:name "Undergraduate texts in mathematics," ;
    .

<http://www.worldcat.org/oclc/268798336>
    a schema:CreativeWork ;
    rdfs:label "Elementary number theory." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/317545887> ; # Elementary number theory primes, congruences, and secrets : a computational approach
    .

<http://www.worldcat.org/title/-/oclc/317545887>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/317545887> ; # Elementary number theory primes, congruences, and secrets : a computational approach
    schema:dateModified "2015-07-13" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

윈도우 닫기

WorldCat에 로그인 하십시오 

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