컨텐츠로 이동
Charming proofs : a journey into elegant mathematics 해당 항목을 미리보기
닫기해당 항목을 미리보기
확인중입니다…

Charming proofs : a journey into elegant mathematics

저자: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
출판사: Washington, DC : Mathematical Association of America, ©2010.
시리즈: Dolciani mathematical expositions, no. 42.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
"Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By  더 읽기…
평가:

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

주제
다음과 같습니다:

 

온라인으로 문서 찾기

이 항목에 대한 링크

도서관에서 사본 찾기

&AllPage.SpinnerRetrieving; 해당항목을 보유하고 있는 도서관을 찾는 중

상세정보

장르/형태: Electronic books
추가적인 물리적 형식: Print version:
Alsina, Claudi.
Charming proofs.
Washington, DC : Mathematical Association of America, c2010
(DLC) 2010927263
(OCoLC)653403625
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
ISBN: 9781614442011 1614442010
OCLC 번호: 796675453
설명: 1 online resource (xxiv, 295 p.) : ill.
내용: A garden of integers --
Distinguished numbers --
Points in the plane --
The polygonal playground --
A treasury of triangle theorems --
The enchantment of the equilateral triangle --
The quadrilaterals' corner --
Squares everywhere --
Curves ahead --
Adventures in tiling and coloring --
Geometry in three dimensions --
Additional theorems, problems, and proofs.
일련 제목: Dolciani mathematical expositions, no. 42.
책임: Claudi Alsina, Roger B. Nelsen.

초록:

"Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming, Topics include the integers, selected real numbers, points in the plane, triangles, squares, and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, three-dimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school and college and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving."--Publisher's description.

리뷰

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/796675453>
library:oclcnum"796675453"
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:copyrightYear"2010"
schema:creator
schema:datePublished"2010"
schema:description"A garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs."
schema:description""Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming, Topics include the integers, selected real numbers, points in the plane, triangles, squares, and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, three-dimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school and college and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving."--Publisher's description."
schema:exampleOfWork<http://worldcat.org/entity/work/id/555675633>
schema:genre"Electronic books"
schema:inLanguage"en"
schema:isPartOf
schema:name"Charming proofs a journey into elegant mathematics"
schema:numberOfPages"295"
schema:publication
schema:publisher
schema:url<http://dx.doi.org/10.5948/UPO9781614442011>
schema:url<http://www.jstor.org/stable/10.4169/j.ctt6wpwnz>
schema:url<http://site.ebrary.com/id/10728518>
schema:url<http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=450277>
schema:workExample
wdrs:describedby

Content-negotiable representations

윈도우 닫기

WorldCat에 로그인 하십시오 

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