Geometry of Linear Diophantine equations (Record no. 48823)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01185nam a2200253Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2012||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI MSc8 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kamalakshya Mahatab |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Geometry of Linear Diophantine equations |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2012 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 58p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2012 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | M.Sc |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | The non-negative solutions of linear homogeneous Diophantine equations are studied using the geometric theory of convex polytopes. After a brief introduction to the theory of convex polytopes and its relation to solutions of linear homogeneous Diophantine equations, a theorem of Stanley, Bruggesser and Mani on the decomposition of the monoid of solutions is discussed in detail. An application of this theorem, due to Stanley, to prove a conjecture of Anand, Dumir and Gupta is explained. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Diophantine Equations |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Geometry of Solutions |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI MSc 8 |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Amritanshu Prasad |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/324 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI MSc8 | 67513 | http://www.imsc.res.in/xmlui/handle/123456789/324 | THESIS & DISSERTATION |