- Social History of Nineteenth Century Mathematics
- Table of contents
- Social History of Nineteenth Century Mathematics - ernster
Assume two particles move along separate lines from given initial points.
Social History of Nineteenth Century Mathematics
The particles begin moving at the same instant with the same velocity. The first particle continues to move with a speed that is decreasing, proportional at each instant to the distance remaining between it and some given fixed point on the line. The second particle moves with a constant speed equal to its initial velocity. Given any increment of time, the distances traveled by the first particle in successive increments form a geometrically decreasing sequence. The corresponding distances traveled by the second particle form an arithmetically increasing sequence.
Table of contents
Napier was able to use this model to derive theorems yielding precise limits to approximate values in the two sequences. Kinematic ideas, which appeared frequently in mathematics of the period, provided a clear and visualizable means for the generation of geometric magnitude.
The conception of a curve traced by a particle moving through space later played a significant role in the development of the calculus. In Briggs published an extensive table of common logarithms , or logarithms to the base He also devised interpolation procedures of great computational efficiency to obtain intermediate values.
Four years later a table of logarithms prepared by Kepler appeared in Marburg. Article Media. Info Print Print. Table Of Contents. Product Details Table of Contents. Show More. Average Review. Write a Review. Related Searches.
Social History of Nineteenth Century Mathematics - ernster
The second half of the nineteenth century was an exciting time in European intellectual and The second half of the nineteenth century was an exciting time in European intellectual and social history. View Product.
Written by internationally renowned scholars, this multivolume work comprehensively treats the many different methods of interpretation, the Adventures in Stochastic Processes. Stochastic processes are necessary ingredients for building models of a wide variety of phenomena exhibiting Stochastic processes are necessary ingredients for building models of a wide variety of phenomena exhibiting time varying randomness.