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From Discrete to Continuous

Name: From Discrete to Continuous
Brand: Springer-Verlag New York Inc.
SKU: 01414769
Price: 40398 HUF
Availability: InStock
Author: K. Neal
ISBN: 9781402005657

The Broadening of Number Concepts in Early Modern England

K. Neal

Language

English

Book Hardback

Libristo code: 01414769

Publishers Springer-Verlag New York Inc., April 2002

In the early modern period, a crucial transformation occurred in the classical conception of number... Full description

Libristo code: 01414769

271 b

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In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number versus continuous magnitude was challenged in the early modern period in several ways.§This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept.