By Isaac Todhunter

This Elibron Classics ebook is a facsimile reprint of a 1864 version by means of Macmillan and Co., Cambridge and London.

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**Extra info for A Treatise On The Differential Calculus with numerous examples**

**Sample text**

Lehmer [66] A. -Col. Allan J. C. Cunningham and H. J. Woodall published a small volume of tables [11] of factorizations of bn ± 1 for the bases b = 2, 3, 5, 6, 7, 10, 11, 12 to various high powers n. These tables collected from scattered sources the known prime factors for the bases 2 and 10 and also presented the authors’ results of thirty years’ work with these and the other bases. (See [11, pp. ) For decades these useful tables served as a basic reference on factors of these numbers. The tables were not only a summary of what was known, but a disclosure of what was not.

In 1970, Mike Morrison and JB subjected the resulting tables to a computer checking scan on the IBM 360/91 at UCLA. Several errors were discovered among the data manually accumulated over the years. In later years, the data were placed in a data set (disk file) on the computer system at Northern Illinois University, DeKalb, along with all the primality testing information that had accumulated for years in an impressive stack of computer printout. With all the information in a data set (and the large stack of printout happily thrown away), new formats were devised which provided for a simple presentation of prime and algebraic factors in the tables in which a prime factor is listed as such only once at its first appearance.

In later years, the data were placed in a data set (disk file) on the computer system at Northern Illinois University, DeKalb, along with all the primality testing information that had accumulated for years in an impressive stack of computer printout. With all the information in a data set (and the large stack of printout happily thrown away), new formats were devised which provided for a simple presentation of prime and algebraic factors in the tables in which a prime factor is listed as such only once at its first appearance.

### A Treatise On The Differential Calculus with numerous examples by Isaac Todhunter

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