Charming proofs : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen.
"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 presen...
Saved in:
: | |
---|---|
TeilnehmendeR: | |
Year of Publication: | 2010 |
Language: | English |
Series: | Dolciani mathematical expositions ;
no. 42 |
Online Access: | |
Physical Description: | xxiv, 295 p. :; ill. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
5003330369 |
---|---|
ctrlnum |
(MiAaPQ)5003330369 (Au-PeEL)EBL3330369 (CaPaEBR)ebr10728518 (OCoLC)929120458 |
collection |
bib_alma |
record_format |
marc |
spelling |
Alsina, Claudi. Charming proofs [electronic resource] : a journey into elegant mathematics / Claudi Alsina, Roger B. Nelsen. Washington, D.C. : Mathematical Association of America, c2010. xxiv, 295 p. : ill. Dolciani mathematical expositions ; no. 42 Includes bibliographical references (p. 275-287) and index. 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. "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. Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. Proof theory. Electronic books. Nelsen, Roger B. Mathematical Association of America. ProQuest (Firm) https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=3330369 Click to View |
language |
English |
format |
Electronic eBook |
author |
Alsina, Claudi. |
spellingShingle |
Alsina, Claudi. Charming proofs a journey into elegant mathematics / 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. |
author_facet |
Alsina, Claudi. Nelsen, Roger B. Mathematical Association of America. ProQuest (Firm) Mathematical Association of America. ProQuest (Firm) |
author_variant |
c a ca |
author2 |
Nelsen, Roger B. Mathematical Association of America. ProQuest (Firm) |
author2_variant |
r b n rb rbn |
author2_role |
TeilnehmendeR TeilnehmendeR TeilnehmendeR |
author_corporate |
Mathematical Association of America. ProQuest (Firm) |
author_sort |
Alsina, Claudi. |
title |
Charming proofs a journey into elegant mathematics / |
title_sub |
a journey into elegant mathematics / |
title_full |
Charming proofs [electronic resource] : a journey into elegant mathematics / Claudi Alsina, Roger B. Nelsen. |
title_fullStr |
Charming proofs [electronic resource] : a journey into elegant mathematics / Claudi Alsina, Roger B. Nelsen. |
title_full_unstemmed |
Charming proofs [electronic resource] : a journey into elegant mathematics / Claudi Alsina, Roger B. Nelsen. |
title_auth |
Charming proofs a journey into elegant mathematics / |
title_new |
Charming proofs |
title_sort |
charming proofs a journey into elegant mathematics / |
publisher |
Mathematical Association of America, |
publishDate |
2010 |
physical |
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. |
isbn |
9781614442011 (electronic bk.) |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA9 |
callnumber-sort |
QA 19.54 A57 42010 |
genre |
Electronic books. |
genre_facet |
Electronic books. |
url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=3330369 |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
511 - General principles of mathematics |
dewey-full |
511.3/6 |
dewey-sort |
3511.3 16 |
dewey-raw |
511.3/6 |
dewey-search |
511.3/6 |
oclc_num |
929120458 |
work_keys_str_mv |
AT alsinaclaudi charmingproofsajourneyintoelegantmathematics AT nelsenrogerb charmingproofsajourneyintoelegantmathematics AT mathematicalassociationofamerica charmingproofsajourneyintoelegantmathematics AT proquestfirm charmingproofsajourneyintoelegantmathematics |
status_str |
n |
ids_txt_mv |
(MiAaPQ)5003330369 (Au-PeEL)EBL3330369 (CaPaEBR)ebr10728518 (OCoLC)929120458 |
is_hierarchy_title |
Charming proofs a journey into elegant mathematics / |
author2_original_writing_str_mv |
noLinkedField noLinkedField noLinkedField |
_version_ |
1792330859757436928 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03623nam a2200409 a 4500</leader><controlfield tag="001">5003330369</controlfield><controlfield tag="003">MiAaPQ</controlfield><controlfield tag="005">20200520144314.0</controlfield><controlfield tag="006">m o d | </controlfield><controlfield tag="007">cr cn|||||||||</controlfield><controlfield tag="008">100421s2010 dcua sb 001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="z"> 2010927263</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0883853485 (hbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780883853481 (hbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781614442011 (electronic bk.)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(MiAaPQ)5003330369</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(Au-PeEL)EBL3330369</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(CaPaEBR)ebr10728518</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)929120458</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">MiAaPQ</subfield><subfield code="c">MiAaPQ</subfield><subfield code="d">MiAaPQ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA9.54</subfield><subfield code="b">.A57 2010</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">511.3/6</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Alsina, Claudi.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Charming proofs</subfield><subfield code="h">[electronic resource] :</subfield><subfield code="b">a journey into elegant mathematics /</subfield><subfield code="c">Claudi Alsina, Roger B. Nelsen.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Washington, D.C. :</subfield><subfield code="b">Mathematical Association of America,</subfield><subfield code="c">c2010.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xxiv, 295 p. :</subfield><subfield code="b">ill.</subfield></datafield><datafield tag="440" ind1=" " ind2="0"><subfield code="a">Dolciani mathematical expositions ;</subfield><subfield code="v">no. 42</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 275-287) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"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.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="a">Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Proof theory.</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Nelsen, Roger B.</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Mathematical Association of America.</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">ProQuest (Firm)</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=3330369</subfield><subfield code="z">Click to View</subfield></datafield></record></collection> |