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Mathematical Treasure: The Analyst, or An Introduction to the Mathematics

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

The Analyst: or, An Introduction to the Mathematics: Containing the Doctrine of Vulgar and Decimal Fractions, published in 1746, is an example of a commercial textbook compiled specifically for use in British secondary schools of the 18th century. The description of the contents as provided on the cover of this book allows for an understanding of the scope of the material to be covered. No specific author was credited with the work, as it is a compilation of existing writings.

Title page of The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

The first and last pages of the first chapter indicate the text’s underlying philosophy of education.

Page 1 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

Page 12 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

Worked-out examples for determining the greatest common factor:

Page 15 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

Page 16 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

Evolution, or the extraction of roots, was a typical topic in arithmetic textbooks of the 18th and 19th centuries.

Page 132 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

Page 133 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

Page 134 from The Analyst, or an Introduction to the Mathematics, an anonymous textbook published in 1746.

A full digitization of the copy owned by the University of Michigan is available from GoogleBooks.

Index to Mathematical Treasures

Frank J. Swetz (The Pennsylvania State University), "Mathematical Treasure: The Analyst, or An Introduction to the Mathematics," Convergence (January 2024)