Irrationality, Transcendence and the Circle-Squaring Problem

Irrationality, Transcendence and the Circle-Squaring Problem

An Annotated Translation of J. H. Lambert's Vorlaeufige Kenntnisse and Memoire

Fuentes Guillen, Elias; Dorrego Lopez, Eduardo

Springer International Publishing AG

05/2024

167

Dura

9783031522222

15 a 20 dias

Descrição não disponível.
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 Memoire (1761/1768).- Chapter 5. An anotated translation of Lambert's Memoire (1761/1768).- Chapter 6. Outine of Lambert's Vorlaeufige Kenntnisse (1766/1770).- Chapter 6. An anotated translation of Lambert's Vorlaeufige 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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Johann Heinrich Lambert;Irrationality of Pi;Trascendental Numbers;The Circle-Squaring Problem;18th and 19th Century Mathematics;History of Mathematics;Philosophy of Mathematics;Continued Fractions;Euler and continued fractions;decimal expansions;Euler and continued fractions, irrationality and transcendence;Lambert and the Berlin Academy of Sciences;Lambert's Vorlaeufige Kenntnisse;Lambert's work and the development of irrational numbers;Lambert's Memoire;Lambert and non-Euclidean geometry;Echegaray's Disertaciones matematicas