To write John Napier’s work with logarithms.
Explanation of Solution
In 1614, the method of logarithms was propounded by John Napier publicly in a book which was entitled as “Mirifici Logarithmorum Canonis Descriptio”. The meaning of this book was also called as (Description of the Wonderful Rule of Logarithms).
By the use of repeated subtractions Napier calculated for L ranging from 1 to 100. The result for is Napier calculated the products of the numbers then with for from 1 to 50, and did similarly with and . Finally, from these computations, Napier allowed to give him for any number N from 5 to 10 million, the number L that solves the equation
First Napier called L and artificial number but the word “logarithm” has been introduced later here : “logos” meaning proportion, and “arithmos” meaning number. In modern notation, the relation to natural logarithms is:
where the very close approximation corresponds to the observation that
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning