‎RIEMANN, BERNHARD.‎
‎Ueber die Fortpflanzung ebener Luftwellen von endlicher Schwingungsweite. - [RIEMANN'S MOST IMPORTANT CONTRIBUTION TO MATHEMATICAL PHYSICS]‎

‎Göttingen: Verlag der Dieterichschen Buchhandlung, 1860. 4to. (263x211mm). Offprint from the eighth volume of the 'Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen'. Bound in recent attractive marbled boards. Paper title label on front board. 25,(1:blank) pp.‎

Reference : 38033

‎First edition, offprint issue. In this paper Riemann laid the foundations of the theory of propagation on nonlinear and linear waves governed by hyperbolic equations. The concepts introduced here - Riemann invariants, the Riemann initial value problem, jump conditions for nonlinear equations, the Riemann function for linear equations - are still the basic building blocks of the theory today.‎