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Mathematical Treasure: Carl Runge’s Graphical Methods

Author(s): 
Frank J. Swetz (The Pennsylvania State University)

Carl David Tolmé Runge (1856–1927) was a German mathematician who studied with many of the big names of the 19th century and then turned to spectroscopy. He also did extensive work in physics. In mathematics, he is known for the Runge-Kutta method of numerical analysis, an approximation method for the solution of differential equations. In 1912, Runge gave a lecture at Columbia University on graphical methods. This lecture was published as a monograph.

Title page of Carl Runge's 1912 Graphical Methods.

The Table of Contents for this talk:

Table of contents for Carl Runge's 1912 Graphical Methods.

The introductory remarks:

Page 1 from Carl Runge's 1912 Graphical Methods.

Page 2 from Carl Runge's 1912 Graphical Methods.

Page 3 from Carl Runge's 1912 Graphical Methods.

A full digitization of the copy owned by the University of California is available from the Internet Archive.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Carl Runge’s Graphical Methods," Convergence (April 2024)