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.
Dorrego López, Eduardo, 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.
2023
QA467
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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.
Author Dorrego López, Eduardo, author.
ISBN 3031243633 (electronic bk.)
9783031243639 (electronic bk.)
9783031243622
DOI https://doi.org/10.1007/978-3-031-24363-9
Published Cham : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (xix, 171 pages) : illustrations (chiefly color).
Other Standard Identifiers 10.1007/978-3-031-24363-9 doi
Call Number QA467
Dewey Decimal Classification 516.2/04
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, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 16, 2023).
Added 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.
Series Logic, epistemology and the unity of science ; v. 58.
Includes Container of (work): Lambert, Johann Heinrich, 1728-1777. Vorläufige Kenntnisse. English.
Container of (work): Lambert, Johann Heinrich, 1728-1777. Mémoire. English.
Available in Other Form Irrationality, Transcendence and the Circle-Squaring Problem
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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

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