| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910153614803321 |
|
|
Autore |
Stedall Jacqueline |
|
|
Titolo |
From Cardano's great art to Lagrange's reflections: filling a gap in the history of algebra [[electronic resource] /] / Jacqueline Stedall |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2011 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (236 pages) |
|
|
|
|
|
|
Collana |
|
Heritage of European Mathematics (HEM) ; , 2523-5214 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Soggetti |
|
History of mathematics |
History and biography |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Sommario/riassunto |
|
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy 'Réflexions sur la résolution algébrique des équations': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (from 1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (from 1707 to 1770) and treats the material according to key themes. |
|
|
|
|
|
|
|
|
|
|
|
|
|
Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation. |
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910700996103321 |
|
|
Titolo |
Drilling for a solution [[electronic resource] ] : finding ways to curtail the crushing effect of high gas prices on small business : hearing before the Subcommittee on Agriculture, Energy, and Trade of the Committee on Small Business, United States House of Representatives, One Hundred Twelfth Congress, first session, hearing held April 14, 2011 |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Washington : , : U.S. G.P.O., , 2011 |
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (iii, 54 pages) : illustrations |
|
|
|
|
|
|
Soggetti |
|
Gasoline - Prices - United States |
Petroleum products - Prices - United States |
Natural gas - Prices - United States |
Small business - United States - Cost of operation |
Petroleum industry and trade - United States |
Gas industry - United States |
Agriculture - Energy consumption - United States |
Agriculture and energy - United States |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Title from title screen (viewed on Aug. 29, 2011). |
Paper version available for sale by the Supt. of Docs., U.S. G.P.O. |
"Small Business Committee document number 112-011." |
|
|
|
|
|
|
|
| |