Reimann (George Friedrich Bernhard) Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse, first edition, minor toning or light spotting, some browning and light marking to title and final page, stamp and small paper label to title verso, upper inner corner of first and final pages with minor restorations, later boards, 4to, Göttingen, 1851.

⁂ Reimann's doctoral thesis exemplifies the important contributions he made to 19th century mathematics, namely his work in analysis, number theory, and differential geometry. In the field of real analysis, he is known for the first rigorous formulation of the integral - the Riemann integral - and his work on Fourier series. Moreover his contributions to complex analysis include his notable introduction of Riemann Surfaces, first put forward in this thesis. This paper and its sequel, 'Theorie der Abelschen Functionen' (1857), are lauded as some of the most important achievements of analytic number theory, and through his pioneering findings in differential geometry, Reimann laid the foundations for the mathematics of general relativity. Only a few copies were printed for private distribution, and only 3 copies of his dissertation have appeared at auction over the last 30 years.