Irrationality, Transcendence and the Circle-Squaring Problem An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire /
This publication, now in its second edition, 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 remarquable...
Guardado en:
| Autores principales: | , |
|---|---|
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Lenguaje: | inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
|
| Edición: | 2nd ed. 2024. |
| Colección: | Logic, Epistemology, and the Unity of Science,
58 |
| Materias: | |
| Acceso en línea: | https://doi.org/10.1007/978-3-031-52223-9 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-52223-9 | ||
| 003 | DE-He213 | ||
| 005 | 20260810170934.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240502s2024 sz | o |||| 0|eng d | ||
| 020 | |a 9783031522239 |9 978-3-031-52223-9 | ||
| 024 | 7 | |a 10.1007/978-3-031-52223-9 |2 doi | |
| 050 | 4 | |a QA21-27 | |
| 072 | 7 | |a PBX |2 bicssc | |
| 072 | 7 | |a MAT015000 |2 bisacsh | |
| 072 | 7 | |a PBX |2 thema | |
| 082 | 0 | 4 | |a 510.9 |2 23 |
| 100 | 1 | |a Dorrego López, Eduardo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Irrationality, Transcendence and the Circle-Squaring Problem |h [electronic resource] : |b An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire / |c by Eduardo Dorrego López, Elías Fuentes Guillén. |
| 250 | |a 2nd ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XXI, 167 p. 13 illus.). |b 7 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Logic, Epistemology, and the Unity of Science, |x 2214-9783 ; |v 58 | |
| 505 | 0 | |a 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. | |
| 520 | |a This publication, now in its second edition, 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, as in the first edition, 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. 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 Mémoire, 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a History. | |
| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 1 | 4 | |a History of Mathematical Sciences. |
| 650 | 2 | 4 | |a Philosophy of Mathematics. |
| 700 | 1 | |a Fuentes Guillén, Elías. |e author. |0 (orcid)0000-0001-8722-5090 |1 https://orcid.org/0000-0001-8722-5090 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031522222 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031522246 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031522253 |
| 830 | 0 | |a Logic, Epistemology, and the Unity of Science, |x 2214-9783 ; |v 58 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-52223-9 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||