When less is more: visualizing basic inequalities
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Washington, D.C.]
Mathematical Association of America
c2009
|
| Subjects: | |
| Item Description: | Includes bibliographical references (p. 171-177) and index The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs. The second and largest set of inequalities are geometric both in their statements and in their proofs. Toward the end of the book some inequalities are more analytical in their statements as well as their proofs--From publisher description |
| Physical Description: | xix, 181 p. |
| ISBN: | 9781614442028 |
Staff View
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| 245 | 1 | 0 | |a When less is more |b visualizing basic inequalities |c Claudi Alsina, Roger B. Nelsen |
| 264 | 1 | |a [Washington, D.C.] |b Mathematical Association of America |c c2009 | |
| 300 | |a xix, 181 p. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 171-177) and index | ||
| 500 | |a The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs. The second and largest set of inequalities are geometric both in their statements and in their proofs. Toward the end of the book some inequalities are more analytical in their statements as well as their proofs--From publisher description | ||
| 505 | 0 | |a Representing positive numbers as lengths of segments -- Representing positive numbers as areas or volumes -- Inequalities and the existence of triangles -- Using incircles and circumcircles -- Using reflections -- Using rotations -- Employing non-isometric transformations -- Employing graphs of functions -- Additional topics | |
| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 4 | |a Visualization | |
| 650 | 4 | |a Geometrical drawing | |
| 700 | 1 | |a Nelsen, Roger B. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Hardcover |z 978-0-88385-342-9 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Hardcover |z 0-88385-342-6 |
| 912 | |a ZDB-30-PAD | ||
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Record in the Search Index
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|---|---|
| any_adam_object | |
| author | Alsina, Claudi |
| author_facet | Alsina, Claudi |
| author_role | aut |
| author_sort | Alsina, Claudi |
| author_variant | c a ca |
| building | Verbundindex |
| bvnumber | BV044103527 |
| collection | ZDB-30-PAD |
| contents | Representing positive numbers as lengths of segments -- Representing positive numbers as areas or volumes -- Inequalities and the existence of triangles -- Using incircles and circumcircles -- Using reflections -- Using rotations -- Employing non-isometric transformations -- Employing graphs of functions -- Additional topics |
| ctrlnum | (ZDB-30-PAD)EBC3330372 (ZDB-89-EBL)EBL3330372 (OCoLC)775429168 (DE-599)BVBBV044103527 |
| dewey-full | 515.26 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.26 |
| dewey-search | 515.26 |
| dewey-sort | 3515.26 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044103527 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:43:45Z |
| institution | BVB |
| isbn | 9781614442028 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029510372 |
| oclc_num | 775429168 |
| open_access_boolean | |
| physical | xix, 181 p. |
| psigel | ZDB-30-PAD |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Mathematical Association of America |
| record_format | marc |
| spelling | Alsina, Claudi Verfasser aut When less is more visualizing basic inequalities Claudi Alsina, Roger B. Nelsen [Washington, D.C.] Mathematical Association of America c2009 xix, 181 p. txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 171-177) and index The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs. The second and largest set of inequalities are geometric both in their statements and in their proofs. Toward the end of the book some inequalities are more analytical in their statements as well as their proofs--From publisher description Representing positive numbers as lengths of segments -- Representing positive numbers as areas or volumes -- Inequalities and the existence of triangles -- Using incircles and circumcircles -- Using reflections -- Using rotations -- Employing non-isometric transformations -- Employing graphs of functions -- Additional topics Inequalities (Mathematics) Visualization Geometrical drawing Nelsen, Roger B. Sonstige oth Erscheint auch als Druck-Ausgabe, Hardcover 978-0-88385-342-9 Erscheint auch als Druck-Ausgabe, Hardcover 0-88385-342-6 |
| spellingShingle | Alsina, Claudi When less is more visualizing basic inequalities Representing positive numbers as lengths of segments -- Representing positive numbers as areas or volumes -- Inequalities and the existence of triangles -- Using incircles and circumcircles -- Using reflections -- Using rotations -- Employing non-isometric transformations -- Employing graphs of functions -- Additional topics Inequalities (Mathematics) Visualization Geometrical drawing |
| title | When less is more visualizing basic inequalities |
| title_auth | When less is more visualizing basic inequalities |
| title_exact_search | When less is more visualizing basic inequalities |
| title_full | When less is more visualizing basic inequalities Claudi Alsina, Roger B. Nelsen |
| title_fullStr | When less is more visualizing basic inequalities Claudi Alsina, Roger B. Nelsen |
| title_full_unstemmed | When less is more visualizing basic inequalities Claudi Alsina, Roger B. Nelsen |
| title_short | When less is more |
| title_sort | when less is more visualizing basic inequalities |
| title_sub | visualizing basic inequalities |
| topic | Inequalities (Mathematics) Visualization Geometrical drawing |
| topic_facet | Inequalities (Mathematics) Visualization Geometrical drawing |
| work_keys_str_mv | AT alsinaclaudi whenlessismorevisualizingbasicinequalities AT nelsenrogerb whenlessismorevisualizingbasicinequalities |