Leonhardi Euleri Commercium epistolicum cum Christiano Goldbach
著者
書誌事項
Leonhardi Euleri Commercium epistolicum cum Christiano Goldbach
（Leonhardi Euleri Opera omnia / sub auspiciis Societatis Scientiarum Naturalium Helveticae ; edenda curaverunt, Ferdinand Rudio, Adolf Krazer, Paul Stäckel, Ser. 4A . Commercium epistrolicum ; v. 4）
Springer, 2015
- pars 1
- pars 2
- タイトル別名
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Correspondence of Leonhard Euler with Christian Goldbach
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注記
English title: Correspondence of Leonhard Euler with Christian Goldbach
Bibliography: p.1159-1200
Includes indexes
Publisher of jacket: Birkhäuser
内容説明・目次
内容説明
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.
目次
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.
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