Author(s):
Frank J. Swetz (The Pennsylvania State University)
The schoolmaster and textbook author, Daniel Fenning (1715–1767), whose 1751 Young Algebraist’s Companion also appears in Convergence, prepared The British Youth’s Instructor; or Practical Arithmetic. The book went through many editions; the fifth edition of 1765 is shown here. David Fisher, perhaps of Dedham, MA, cites himself as an early owner.
![Title page of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-9-1554563896.jpg)
![Owner's signature in Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-seq_7.jpg)
It was a practice, at this time, to have a textbook reviewed by relevant professionals and to secure their approving testimony. On this list are “Philom[s]”, philomaths, or “lovers of mathematics.”
![Testimonial page of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-19-1554564052.jpg)
The early pages discuss numeration.
![Page 3 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-23-1554564127.jpg)
![Page 6 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-26-1554564191.jpg)
These pages show operations and the “Rule of Three.”
![Page 30 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-50-1554564339.jpg)
![Page 97 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-117-1554564514.jpg)
![Page 123 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-143-1554564607.jpg)
![Page 195 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-215-1554564778.jpg)
![Page 196 of Daniel Fenning's The British Youth's Instructor.](/sites/default/files/images/upload_library/46/Swetz_2012_Math_Treasures/HathiTrust/mdp.39015063909124-216-1554564807.jpg)
The full text is available to be viewed and read in the HathiTrust Archive.
Index to Mathematical Treasures
Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: Daniel Fenning's British Youth's Instructor," Convergence (December 2020)