Abstract
THE lectures, delivered at the University of Göttingen by Prof. Bernard Riemann in the sessions of 1854–55, of 1860–61 and in the summer of 1862, have thanks to the volume brought out after Riemann's death under the editorship of Karl Hattendorff, long ranked among the mathematical classics. The third and last edition of “Partielle Differentialgleichungen” appeared in 1882, and two years ago Prof. Heinrich Weber was entrusted with the task of bringing out a fourth edition. There were three possible ways in which this task could have been fulfilled. One way was to re-publish the edition of 1882, with trifling additions and alterations. The second way was to retain the existing text, but to add copious notes together with references to recent developments bordering on the subject of Riemann's lectures. The third way was to write an entirely new book, based, indeed, on the earlier editions, but completely brought up to date by the embodiment of the new methods and problems that have come into existence in connection with discoveries in mathematics and physics extending over nearly twenty years from the date of the last edition, and nearly forty years from the time when the lectures were given by Riemann.
Die Partiellen Differentialgleichungen der mathematischen Physik. Nach Riemann's Vorlesungen.
Fourth edition. Revised and rewritten by Heinrich Weber. Vol. i. Pp. xvii + 506. (Brunswick: Friedrich Vieweg und Sohn, 1900.)
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B., G. Die Partiellen Differentialgleichungen der mathematischen Physik Nach Riemann's Vorlesungen . Nature 63, 390–392 (1901). https://doi.org/10.1038/063390a0
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DOI: https://doi.org/10.1038/063390a0
