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Mathematical Treasure: Dodson's Mathematical Repository

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

James Dodson (ca.  1705–1757) was an English mathematician and actuary who taught both subjects to private students. Dodson had the famous mathematician Abraham de Moivre as his teacher. He published collections of mathematical problems under the title The Mathematical Repository. Volume I appeared in 1748 and Volume II in 1753. Both volumes contained a variety of “analytical problems” mainly solvable through algebraic techniques. Volume III, published in 1755, was devoted to the solution of actuarial problems.

Title page of The Mathematical Repository, Volume I, James Dodson, 1748

Here is a sampling of problems from the first volume:

Page 1 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 26 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 27 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 72 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 121 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 168 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 291 of The Mathematical Repository, Volume I, James Dodson, 1748

Page 349 of The Mathematical Repository, Volume I, James Dodson, 1748

 Below is the title page and the first three pages from the second volume:

Title page of The Mathematical Repository, Volume II, James Dodson, 1753

Page 1 of The Mathematical Repository, Volume II, James Dodson, 1753

Page 2 of The Mathematical Repository, Volume II, James Dodson, 1753

Page 3 of The Mathematical Repository, Volume II, James Dodson, 1753

The title page of the third volume:

Title page of The Mathematical Repository, Volume III, James Dodson, 1755

The images above from Dodson's Mathematical Repository were obtained through the courtesy of the Swiss digital archive e-rara.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Dodson's Mathematical Repository," Convergence (February 2020)