跳到内容
Charming proofs : a journey into elegant mathematics 预览资料
关闭预览资料
正在查...

Charming proofs : a journey into elegant mathematics

著者: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
出版商: Washington, DC : Mathematical Association of America, ©2010.
丛书: Dolciani mathematical expositions, no. 42.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
"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  再读一些...
评估:

(尚未评估) 0 附有评论 - 争取成为第一个。

主题
更多类似这样的

 

在线查找

与资料的链接

在图书馆查找

&AllPage.SpinnerRetrieving; 正在查找有这资料的图书馆...

详细书目

类型/形式: Electronic books
附加的形体格式: Print version:
Alsina, Claudi.
Charming proofs.
Washington, DC : Mathematical Association of America, c2010
(DLC) 2010927263
(OCoLC)653403625
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
ISBN: 9781614442011 1614442010
OCLC号码: 796675453
描述: 1 online resource (xxiv, 295 p.) : ill.
内容: 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.
丛书名: Dolciani mathematical expositions, no. 42.
责任: Claudi Alsina, Roger B. Nelsen.

摘要:

"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.

评论

用户提供的评论
正在获取GoodReads评论...
正在检索DOGObooks的评论

标签

争取是第一个!

相似资料

确认申请

你可能已经申请过这份资料。如果还是想申请,请选确认。

链接数据


<http://www.worldcat.org/oclc/796675453>
library:oclcnum"796675453"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/796675453>
rdf:typeschema:Book
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:name"Charming proofs a journey into elegant mathematics"
schema:numberOfPages"295"
schema:publisher
schema:url<http://dx.doi.org/10.5948/UPO9781614442011>
schema:url
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

Content-negotiable representations

关闭窗口

请登入WorldCat 

没有张号吗?很容易就可以 建立免费的账号.