1 resultado para diophantine equation
em Universidade Federal do Rio Grande do Norte(UFRN)
Filtro por publicador
- KUPS-Datenbank - Universität zu Köln - Kölner UniversitätsPublikationsServer (1)
- Aberdeen University (1)
- Aberystwyth University Repository - Reino Unido (1)
- Acceda, el repositorio institucional de la Universidad de Las Palmas de Gran Canaria. España (2)
- AMS Tesi di Dottorato - Alm@DL - Università di Bologna (2)
- AMS Tesi di Laurea - Alm@DL - Università di Bologna (5)
- Aquatic Commons (1)
- ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha (1)
- Archimer: Archive de l'Institut francais de recherche pour l'exploitation de la mer (1)
- Archive of European Integration (3)
- Archivo Digital para la Docencia y la Investigación - Repositorio Institucional de la Universidad del País Vasco (3)
- Aston University Research Archive (36)
- Biblioteca Digital da Produção Intelectual da Universidade de São Paulo (16)
- Biblioteca Digital da Produção Intelectual da Universidade de São Paulo (BDPI/USP) (19)
- BORIS: Bern Open Repository and Information System - Berna - Suiça (13)
- Boston University Digital Common (1)
- Brock University, Canada (4)
- Bucknell University Digital Commons - Pensilvania - USA (1)
- Bulgarian Digital Mathematics Library at IMI-BAS (47)
- CaltechTHESIS (6)
- Cambridge University Engineering Department Publications Database (49)
- CentAUR: Central Archive University of Reading - UK (72)
- Chinese Academy of Sciences Institutional Repositories Grid Portal (89)
- Cochin University of Science & Technology (CUSAT), India (1)
- Collection Of Biostatistics Research Archive (2)
- Corvinus Research Archive - The institutional repository for the Corvinus University of Budapest (1)
- CUNY Academic Works (3)
- Deakin Research Online - Australia (18)
- DI-fusion - The institutional repository of Université Libre de Bruxelles (1)
- Digital Commons - Michigan Tech (1)
- Digital Commons at Florida International University (5)
- DigitalCommons@The Texas Medical Center (1)
- Diposit Digital de la UB - Universidade de Barcelona (1)
- DRUM (Digital Repository at the University of Maryland) (1)
- Duke University (4)
- eResearch Archive - Queensland Department of Agriculture; Fisheries and Forestry (1)
- Greenwich Academic Literature Archive - UK (3)
- Helda - Digital Repository of University of Helsinki (3)
- Illinois Digital Environment for Access to Learning and Scholarship Repository (2)
- Indian Institute of Science - Bangalore - Índia (85)
- Instituto Politécnico de Viseu (1)
- Instituto Politécnico do Porto, Portugal (1)
- Massachusetts Institute of Technology (1)
- Ministerio de Cultura, Spain (4)
- National Aerospace Laboratory (NLR) Reports Repository (1)
- National Center for Biotechnology Information - NCBI (5)
- Publishing Network for Geoscientific & Environmental Data (1)
- QSpace: Queen's University - Canada (3)
- QUB Research Portal - Research Directory and Institutional Repository for Queen's University Belfast (39)
- Queensland University of Technology - ePrints Archive (140)
- RCAAP - Repositório Científico de Acesso Aberto de Portugal (2)
- Repositório Científico da Universidade de Évora - Portugal (3)
- Repositório Científico do Instituto Politécnico de Lisboa - Portugal (1)
- Repositório digital da Fundação Getúlio Vargas - FGV (5)
- Repositório Institucional da Universidade de Brasília (1)
- Repositório Institucional UNESP - Universidade Estadual Paulista "Julio de Mesquita Filho" (139)
- Universidad de Alicante (3)
- Universidad del Rosario, Colombia (1)
- Universidad Politécnica de Madrid (20)
- Universidade Complutense de Madrid (3)
- Universidade Federal do Pará (3)
- Universidade Federal do Rio Grande do Norte (UFRN) (1)
- Universitat de Girona, Spain (4)
- Universitätsbibliothek Kassel, Universität Kassel, Germany (3)
- Université de Montréal, Canada (2)
- University of Canberra Research Repository - Australia (1)
- University of Connecticut - USA (6)
- University of Michigan (30)
- University of Queensland eSpace - Australia (27)
- University of Washington (1)
- Worcester Research and Publications - Worcester Research and Publications - UK (1)
Resumo:
The present dissertation analyses Leonhard Euler´s early mathematical work as Diophantine Equations, De solutione problematum diophanteorum per números íntegros (On the solution of Diophantine problems in integers). It was published in 1738, although it had been presented to the St Petersburg Academy of Science five years earlier. Euler solves the problem of making the general second degree expression a perfect square, i.e., he seeks the whole number solutions to the equation ax2+bx+c = y2. For this purpose, he shows how to generate new solutions from those already obtained. Accordingly, he makes a succession of substitutions equating terms and eliminating variables until the problem reduces to finding the solution of the Pell Equation. Euler erroneously assigns this type of equation to Pell. He also makes a number of restrictions to the equation ax2+bx+c = y and works on several subthemes, from incomplete equations to polygonal numbers