When less is more (Record no. 37221)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02318nam a2200385 a 4500 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.26 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Alsina, Claudi. |
| 245 10 - TITLE STATEMENT | |
| Title | When less is more |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | [Washington, D.C.] : |
| Name of publisher | Mathematical Association of America, |
| Year of publication | c2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xix, 181 p. : |
| Other physical details | ill., ports. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Inequalities (Mathematics) |
| Topical Term | Visualization. |
| Topical Term | Geometrical drawing. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nelsen, Roger B. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://site.ebrary.com/lib/rucke/Doc?id=10728521 |
No items available.