Bernard Riemann's gesammelte mathematische Werke und wissenschaftlicher Nachlass

This collection showcases the groundbreaking works of Bernhard Riemann, highlighting his influence on mathematics and physics, particularly geometry and number theory.

The collected works of the eminent mathematician Bernhard Riemann, published in German, first appeared in 1876. This edition showcases his profound influence on various fields of mathematics and physics. Among the notable pieces included is his renowned 1854 lecture titled 'On the hypotheses which underlie geometry', which laid the groundwork for future studies that ultimately contributed to Einstein's general theory of relativity.

Riemann's contributions to mathematics were vast, spanning from pure mathematical concepts to applications in mathematical physics. His insightful paper on number theory was pivotal in establishing the prime number theorem, and his zeta hypothesis remains one of the most significant unsolved problems in mathematics today. The collected works highlight Riemann's ability to connect different areas of mathematics, revealing his forward-thinking approach and innovative ideas.

In addition to his well-known achievements, Riemann's optimistic application of the Dirichlet principle to the conformal mapping theorem proved to be remarkably fruitful. Readers will also discover the early foundations of modern distribution theory, algebraic topology, and measure theory within his works. Bernhard Riemann's gesammelte mathematische Werke und wissenschaftlicher Nachlass serves as a testament to Riemann's enduring legacy and his impact on the mathematical community.