Correspondence of Leonhard Euler with Christian Goldbach
Springer Basel
978-3-0348-0879-8 (ISBN)
When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy's secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years.
This exchange - Euler's most substantial long-term correspondence - has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists' biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765.
Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.
Der Schweizer Mathematiker, Natur- und Technikwissenschaftler Leonhard Euler (1707-83) prägte mit seinen wegweisenden Resultaten zur Zahlentheorie, Geometrie, Reihenlehre und zur Theorie der Differentialgleichungen die Mathematik seiner Zeit. Euler gilt als bedeutender Vertreter einer mathematisch orientierten Naturwissenschaft, er lieferte u.a. fundamentale Ergebnisse zur Hydrodynamik und zur Mechanik. Zahlreiche Symbole und Bezeichnungen, die nach wie vor in verschiedenen Disziplinen Geltung haben, wurden von Euler eingeführt.
Volume I: Preface.- Introduction.- 1 Historical and biographical setting.- 1.1. Christian Goldbach: A short biography.- 1.2. Goldbach and Euler.- 1.3. The Euler-Goldbach correspondence - chronology and statistics.- 2 Main subjects of the correspondence.- 2.1. Number theory.- 2.2. Analytic tools in number theory.- 2.3. Algebra: roots of polynomials and transcendence.- 2.4. Analysis.- 2.5. Geometry, topology, combinatorics.- 2.6. Natural science.- 2.7. Professional life: Academies, prizes, publications.- 2.8. Personal life: family, travel, health.- 3 Editing the Euler-Goldbach correspondence.- 3.1. Description of the manuscript sources.- 3.2. Prior editions.- 3.3. Editorial principles.- Correspondence with Christian Goldbach. Original Texts.
Volume II: Correspondence with Christian Goldbach.- Translations.- Synoptic Table of the Correspondence.- Leonhard Euler's Works.- Bibliography.- Systematic Subject Index.- Name Index.- List of Abbreviations.
"The new edition of the correspondence is, quite simply, excellent. The material is made even more valuable by the way it is presented here. ... this set is worth both the cost and the time it will take to read. To everyone involved: Bravo!" (Fernando Q. Gouvêa, MAA Reviews, maa.org, April, 2016)
| Erscheint lt. Verlag | 13.10.2015 |
|---|---|
| Reihe/Serie | Leonhard Euler, Opera Omnia |
| Zusatzinfo | Approx. 1270 p. 106 illus. 2 volume-set. |
| Verlagsort | Basel |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Schlagworte | biography: 18th century • Christian Goldbach • history of mathematics: 18th century • history of number theory • Leonhard Euler • Scientific Correspondence |
| ISBN-10 | 3-0348-0879-8 / 3034808798 |
| ISBN-13 | 978-3-0348-0879-8 / 9783034808798 |
| Zustand | Neuware |
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