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Correspondence of Leonhard Euler with Christian Goldbach

Volume 2

Specificaties
Gebonden, 688 blz. | Engels
Springer Basel | 2015e druk, 2015
ISBN13: 9783034808804
Rubricering
Springer Basel 2015e druk, 2015 9783034808804
Onderdeel van serie Leonhard Euler, Opera Omnia
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783034808804
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:688
Uitgever:Springer Basel
Druk:2015

Inhoudsopgave

<p>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.- Translations.- Indices: Synoptic Table.- Bibliography.- Systematic Subject Index.- Name Index.</p>

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        Correspondence of Leonhard Euler with Christian Goldbach