skip to content
Charming proofs : a journey into elegant mathematics Preview this item
ClosePreview this item
Checking...

Charming proofs : a journey into elegant mathematics

Author: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
Publisher: Washington, DC : Mathematical Association of America, ©2010.
Series: Dolciani mathematical expositions, no. 42.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Alsina, Claudi.
Charming proofs.
Washington, DC : Mathematical Association of America, c2010
(DLC) 2010927263
(OCoLC)653403625
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
ISBN: 9781614442011 1614442010
OCLC Number: 796675453
Description: 1 online resource (xxiv, 295 p.) : ill.
Contents: 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.
Series Title: Dolciani mathematical expositions, no. 42.
Responsibility: Claudi Alsina, Roger B. Nelsen.

Abstract:

"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.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<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

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.