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Mathematical Treasure: Felix Klein in Mathematischen Wissenschaften

Frank J. Swetz (The Pennsylvania State University)

The Grundlehren der mathematischen Wissenschaften (Foundations of Mathematical Knowledge) series was begun in 1920 by Richard Courant (1888-1972) and published by Springer. It was and is intended to present contemporary research findings in textbook form for the benefit of students of higher mathematics. The first 100 volumes were published in German; then, following the Second World War, the series appeared in English. The year 2013 saw the publication of Volume 347 of this series, a book on Poisson structures.

Volume 14 of Mathematischen Wissenschaften was published in 1924 and presented Felix Klein’s revolutionary Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, and Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry, originally published in Leipzig in 1908 and 1909.

Here, Klein considered the countability of various sets of numbers.

The Special Collections staff at the Linderman Library of Lehigh University in Bethlehem, Pennsylvania, is pleased to cooperate with the Mathematical Association of America to exhibit this and other items from the Library’s holdings in “Mathematical Treasures.” In particular, Convergence would like to thank Lois Fischer Black, Curator, Special Collections, and Ilhan Citak, Archives and Special Collections Librarian, for their kind assistance in helping to make this display possible. You may use these images in your classroom; all other uses require permission from the Special Collections staff, Linderman Library, Lehigh University.

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Felix Klein in Mathematischen Wissenschaften," Loci (August 2014)