omitir hasta el contenido
Charming proofs : a journey into elegant mathematics Ver este material de antemano
CerrarVer este material de antemano
Chequeando…

Charming proofs : a journey into elegant mathematics

Autor: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
Editorial: Washington, DC : Mathematical Association of America, ©2010.
Serie: Dolciani mathematical expositions, no. 42.
Edición/Formato:   Libro-e : Documento : Inglés (eng)Ver todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:
"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  Leer más
Calificación:

(todavía no calificado) 0 con reseñas - Ser el primero.

Temas
Más materiales como éste

 

Encontrar un ejemplar en línea

Enlaces a este material

Encontrar un ejemplar en la biblioteca

&AllPage.SpinnerRetrieving; Encontrando bibliotecas que tienen este material…

Detalles

Género/Forma: Electronic books
Formato físico adicional: Print version:
Alsina, Claudi.
Charming proofs.
Washington, DC : Mathematical Association of America, c2010
(DLC) 2010927263
(OCoLC)653403625
Tipo de material: Documento, Recurso en Internet
Tipo de documento: Recurso en Internet, Archivo de computadora
Todos autores / colaboradores: Claudi Alsina; Roger B Nelsen; Mathematical Association of America.
ISBN: 9781614442011 1614442010
Número OCLC: 796675453
Descripción: 1 online resource (xxiv, 295 p.) : ill.
Contenido: 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.
Título de la serie: Dolciani mathematical expositions, no. 42.
Responsabilidad: Claudi Alsina, Roger B. Nelsen.

Resumen:

"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.

Reseñas

Reseñas contribuidas por usuarios
Recuperando reseñas de GoodReads…
Recuperando reseñas de DOGObooks…

Etiquetas

Ser el primero.
Confirmar este pedido

Ya ha pedido este material. Escoja OK si desea procesar el pedido de todos modos.

Datos enlazados


Primary Entity

<http://www.worldcat.org/oclc/796675453> # Charming proofs a journey into elegant mathematics
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "796675453" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/dcu> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/555675633#Place/washington_dc> ; # Washington, DC
    schema:about <http://experiment.worldcat.org/entity/work/data/555675633#Topic/mathematics_logic> ; # MATHEMATICS / Logic
    schema:about <http://experiment.worldcat.org/entity/work/data/555675633#Topic/mathematics_general> ; # MATHEMATICS / General
    schema:about <http://id.worldcat.org/fast/1078942> ; # Proof theory
    schema:about <http://dewey.info/class/511.36/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/555675633#Topic/mathematics_infinity> ; # MATHEMATICS / Infinity
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/27910089> ; # Roger B. Nelsen
    schema:contributor <http://viaf.org/viaf/125319861> ; # Mathematical Association of America.
    schema:copyrightYear "2010" ;
    schema:creator <http://viaf.org/viaf/75122541> ; # Claudi Alsina
    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."@en ;
    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."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/555675633> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/555675633#Series/dolciani_mathematical_expositions> ; # Dolciani mathematical expositions ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/653403625> ;
    schema:name "Charming proofs a journey into elegant mathematics"@en ;
    schema:numberOfPages "295" ;
    schema:productID "796675453" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/796675453#PublicationEvent/washington_dc_mathematical_association_of_america_c2010> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/555675633#Agent/mathematical_association_of_america> ; # Mathematical Association of America
    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 <http://worldcat.org/isbn/9781614442011> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/796675453> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/555675633#Agent/mathematical_association_of_america> # Mathematical Association of America
    a bgn:Agent ;
    schema:name "Mathematical Association of America" ;
    .

<http://experiment.worldcat.org/entity/work/data/555675633#Place/washington_dc> # Washington, DC
    a schema:Place ;
    schema:name "Washington, DC" ;
    .

<http://experiment.worldcat.org/entity/work/data/555675633#Series/dolciani_mathematical_expositions> # Dolciani mathematical expositions ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/796675453> ; # Charming proofs a journey into elegant mathematics
    schema:name "Dolciani mathematical expositions ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/555675633#Topic/mathematics_general> # MATHEMATICS / General
    a schema:Intangible ;
    schema:name "MATHEMATICS / General"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/555675633#Topic/mathematics_infinity> # MATHEMATICS / Infinity
    a schema:Intangible ;
    schema:name "MATHEMATICS / Infinity"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/555675633#Topic/mathematics_logic> # MATHEMATICS / Logic
    a schema:Intangible ;
    schema:name "MATHEMATICS / Logic"@en ;
    .

<http://id.worldcat.org/fast/1078942> # Proof theory
    a schema:Intangible ;
    schema:name "Proof theory"@en ;
    .

<http://viaf.org/viaf/125319861> # Mathematical Association of America.
    a schema:Organization ;
    schema:name "Mathematical Association of America." ;
    .

<http://viaf.org/viaf/27910089> # Roger B. Nelsen
    a schema:Person ;
    schema:familyName "Nelsen" ;
    schema:givenName "Roger B." ;
    schema:name "Roger B. Nelsen" ;
    .

<http://viaf.org/viaf/75122541> # Claudi Alsina
    a schema:Person ;
    schema:familyName "Alsina" ;
    schema:givenName "Claudi" ;
    schema:name "Claudi Alsina" ;
    .

<http://worldcat.org/isbn/9781614442011>
    a schema:ProductModel ;
    schema:isbn "1614442010" ;
    schema:isbn "9781614442011" ;
    .

<http://www.worldcat.org/oclc/653403625>
    a schema:CreativeWork ;
    rdfs:label "Charming proofs." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/796675453> ; # Charming proofs a journey into elegant mathematics
    .


Content-negotiable representations

Cerrar ventana

Inicie una sesión con WorldCat 

¿No tienes una cuenta? Puede fácilmente crear una cuenta gratuita.