When less is more visualizing basic inequalities
(eBook)
Author
Contributors
Published
[Washington, D.C.] : Mathematical Association of America, c2009.
Physical Desc
xix, 181 pages : ill., ports.
Status
More Details
Format
eBook
Language
English
Notes
Bibliography
Includes bibliographical references (p. 171-177) and index.
Description
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.
Reproduction
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Citations
APA Citation, 7th Edition (style guide)
Alsina, C., & Nelsen, R. B. (2009). When less is more: visualizing basic inequalities . Mathematical Association of America.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Alsina, Claudi and Roger B. Nelsen. 2009. When Less Is More: Visualizing Basic Inequalities. Mathematical Association of America.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Alsina, Claudi and Roger B. Nelsen. When Less Is More: Visualizing Basic Inequalities Mathematical Association of America, 2009.
MLA Citation, 9th Edition (style guide)Alsina, Claudi., and Roger B Nelsen. When Less Is More: Visualizing Basic Inequalities Mathematical Association of America, 2009.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
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Grouped Work ID
26bd6c17-e2fa-6a47-fad3-8348b2a1e89a-eng
Grouping Information
| Grouped Work ID | 26bd6c17-e2fa-6a47-fad3-8348b2a1e89a-eng |
|---|---|
| Full title | when less is more visualizing basic inequalities |
| Author | alsina claudi |
| Grouping Category | book |
| Last Update | 2022-06-07 21:23:19PM |
| Last Indexed | 2024-05-21 02:45:03AM |
Book Cover Information
| Image Source | default |
|---|---|
| First Loaded | Jul 7, 2022 |
| Last Used | May 10, 2024 |
Marc Record
| First Detected | Aug 09, 2021 12:48:25 PM |
|---|---|
| Last File Modification Time | Nov 22, 2021 09:15:14 AM |
MARC Record
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| 100 | 1 | |a Alsina, Claudi. | |
| 245 | 1 | 0 | |a When less is more|h [eBook] :|b visualizing basic inequalities /|c Claudi Alsina, Roger B. Nelsen. |
| 260 | |a [Washington, D.C.] :|b Mathematical Association of America,|c c2009. | ||
| 300 | |a xix, 181 p. :|b ill., ports. | ||
| 440 | 0 | |a Dolciani mathematical expositions ;|v no. 36 | |
| 504 | |a Includes bibliographical references (p. 171-177) and index. | ||
| 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. | |
| 520 | |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. | ||
| 533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
| 650 | 0 | |a Inequalities (Mathematics) | |
| 650 | 0 | |a Visualization. | |
| 650 | 0 | |a Geometrical drawing. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Nelsen, Roger B. | |
| 710 | 2 | |a ProQuest (Firm) | |
| 856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yavapai-ebooks/detail.action?docID=3330372|x Yavapai College|y Yavapai College users click here to access |
| 856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/prescottcollege-ebooks/detail.action?docID=3330372|x Prescott College|y Prescott College users click here to access |
| 856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yln-ebooks/detail.action?docID=3330372|x Yavapai Library Network|y All other users click here to access |
| 945 | |a E-Book | ||
