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Irrationality, Transcendence and the Circle-Squaring Problem
An Annotated Translation of J. H. Lambert's Vorläufige Kenntnisse and Mémoire
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9783031243639
Veröffentl:
2023
Seiten:
171
Autor:
Eduardo Dorrego López
Serie:
58, Logic, Epistemology, and the Unity of Science
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728-1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert's 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.
Part I: Antecedents.- Chapter 1. From Geometry to Analysis.- Chapter 2. The situation in the first half of the 18th century. Euler and continued fractions.- Part II: Johann Heinrich Lambert (1728-1777).- Chapter 3. A biographical approach to Johann Heinrich Lambert.- Chapter 4. Outline of Lambert's Mémoire (1761/1768).- Chapter 5. An anotated translation of Lambert's Mémoire (1761/1768).- Chapter 6. Outine of Lambert's Vorläufige Kenntnisse (1766/1770).- Chapter 6. An anotated translation of Lambert's Vorläufige Kenntnisse (1766/1770).- Part III: The influence of Lambert's work and the development of irrational numbers.- Chapter 8. The state of irrationals until the turn of the century.- Chapter 9. Title to be set up.
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