• 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.

“The present volume is the second part of Lemmermeyer and Mattmüller's edition of the correspondence between Euler and Goldbach. … This edition of the Euler-Goldbach correspondence published in two volumes will soon be the indispensable reference. It is a pearl in the literature concerning history of mathematics and history of number theory in particular.” (Thomas Sonar, zbMATH 1361.01009, 2017)