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Author Dorrego López, Eduardo, author

Title Irrationality, transcendence and the circle-squaring problem : an annotated translation of J.H. Lambert's Vorläufige Kenntnisse and Mémoire / Eduardo Dorrego López, Elías Fuentes Guillén ; foreword by José Ferreirós
Published Cham : Springer, [2023]
©2023

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Description 1 online resource (xix, 171 pages) : illustrations (chiefly color)
Series Logic, epistemology, and the unity of science ; volume 58
Logic, epistemology and the unity of science ; v. 58.
Contents 880-01 3 An Annotated Translation of Lambert's Vorläufige Kenntnisse (1766/1770) -- References -- Part III Eduardo Dorrego López -- 4 Introductory Remarks About the Mémoire (1761/1768) -- 4.1 Introduction and Context -- 4.2 Outline -- References -- 5 An Annotated Translation of Lambert's Mémoire (1761/1768) -- References -- Appendix A About Lambert's Portrait -- Appendix B Lambert and Non-Euclidean Geometry -- Appendix C Notes by Andreas Speiser -- Appendix D Echegaray's Disertaciones Matemáticas Sobre la Cuadratura Del Círculo -- Appendix References -- Index
880-01/(S Intro -- Foreword -- References -- Acknowledgements -- Contents -- About the Authors -- Part I Eduardo Dorrego López -- 1 Johann Heinrich Lambert A Biography in Context -- 1.1 Introduction -- 1.2 Early Years (1728-1746) -- 1.3 Epoch of Learning (1746-1756) -- 1.4 European Tour (1756-1759) -- 1.5 Itinerant Period (1759-1765) -- 1.6 Stability. Lambert and the Berlin Academy of Science (1765-1777) -- References -- Part II Elías Fuentes Guillén -- 2 Lambert, the Circle-Squarers and π: Introduction to Lambert's Vorläufige Kenntnisse -- References
Summary This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (17281777) written in the 1760s: Vorlufige Kenntnisse fr die, so die Quadratur und Rectification des Circuls suchen and Mmoire sur quelques proprits remarquables des quantits transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lamberts contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mmoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed March 16, 2023)
Subject Lambert, Johann Heinrich, 1728-1777 -- Translations into English
SUBJECT Lambert, Johann Heinrich, 1728-1777 fast
Subject Circle-squaring.
Irrationalism (Philosophy)
Transcendence (Philosophy)
Circle-squaring
Irrationalism (Philosophy)
Transcendence (Philosophy)
Genre/Form Translations
Form Electronic book
Author Fuentes Guillén, Elías, author
Container of (work): Lambert, Johann Heinrich, 1728-1777. Vorläufige Kenntnisse. English
Container of (work): Lambert, Johann Heinrich, 1728-1777. Mémoire. English
ISBN 3031243633
9783031243639