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Simson on Porisms: An Annotated Translation of Robert Simson's Posthumous Treatise on Porisms and Other Items on this Subject: Sources and Studies in the History of Mathematics and Physical Sciences

Autor Ian Tweddle
en Limba Engleză Paperback – 21 oct 2010
Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria. While Fermat and others made earlier attempts to explain the Porisms, it is Robert Simson who is generally recognised as the first person to achieve a genuine insight into the true nature of the subject.
In this book, Ian Tweddle, a recognised authority on 18th century Scottish mathematics, presents for the first time a full and accessible translation of Simson's work. Based on Simson's early paper of 1723, the treatise, and various extracts from Simson's notebooks and correspondence, this book provides a fascinating insight into the work of an often-neglected figure. Supplemented by historical and mathematical notes and comments, this book is a valuable addition to the literature for anyone with an interest in mathematical history or geometry.
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Specificații

ISBN-13: 9781849968621
ISBN-10: 1849968624
Pagini: 288
Ilustrații: X, 274 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of hardcover 1st ed. 2000
Editura: SPRINGER LONDON
Colecția Springer
Seria Sources and Studies in the History of Mathematics and Physical Sciences

Locul publicării:London, United Kingdom

Public țintă

Research

Cuprins

Introduction.- Part I - Introductory Material: Summary. Preface. Definitions. Propositions 1-6. Pappus's Account of the Porisms. Notes on Part I.- Part II - Papus's Two General Propositions and Euclid's First Porism: Summary. Propositions 7-25. Notes on Part II.- Part III - Lemmas and Restorations: Summary. Propositions 26-79. Notes on Part III.- Part IV - Various Porisms: Fermat, Simson and Stewart. Summary. Propositions 80-93. Notes on Part IV.- Appendices: A Translation of Simson's 1723 Paper along with some Comments. 'That this goes to a given point'. Correspondence between Pappus's Lemmas and Simson's Propositions. Corrections to Simson's Text.- References.- Name Index.

Caracteristici

Written by a recognised authority on 18th century mathematics with well-received publications to his credit This is the first full version of the text to appear in the English language