Mathematical Papers of the Late George Green

Mathematical Papers of the Late George Green
Author: N. M. Ferrers
Publisher: BoD – Books on Demand
Total Pages: 354
Release: 2023-01-29
Genre: Fiction
ISBN: 338210086X

Reprint of the original. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.

Mathematical Papers

Mathematical Papers
Author: George Green
Publisher: Courier Corporation
Total Pages: 356
Release: 2013-04-09
Genre: Mathematics
ISBN: 0486155145

An almost entirely self-taught mathematical genius, George Green (1793 –1841) is best known for Green's theorem, which is used in almost all computer codes that solve partial differential equations. He also published influential essays, or papers, in the fields of hydrodynamics, electricity, and magnetism. This collection comprises his most significant works. The first paper, "An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism," which is also the longest and perhaps the most Important, appeared In 1828. It introduced the term potential as designating the result obtained by adding together the masses of all the particles of a system, each divided by its distance from a given point. Its three-part treatment first considers the properties of this function and then applies them, in the second and third parts, to the theories of magnetism and electricity. The following paper, "Mathematical Investigations concerning the Laws of the Equilibrium of Fluids analogous to the Electric Fluid," exhibits great analytical power, as does the next, "On the Determination of the Exterior and Interior Attractions of Ellipsoids of Variable Densities." Other highlights include the brief but absorbing paper, "On the Motion of Waves in a variable canal of small depth and width," and two of his most valuable memoirs, "On the Laws of Reflexlon and Refraction of Sound" and "On the Reflexlon and Refraction of Light at the common surface of two non-crystallized Media," which should be studied together.

George Green: Mathematician and Physicist, 1793-1841

George Green: Mathematician and Physicist, 1793-1841
Author: D. M. Cannell
Publisher: SIAM
Total Pages: 365
Release: 2001-01-01
Genre: Biography & Autobiography
ISBN: 9780898718102

Mathematicians and lay people alike will enjoy this fascinating book that details the life of George Green, a pioneer in the application of mathematics to physical problems. Green was a mathematical physicist who spent most of the first 40 years of his life working not as a physicist but as a miller in his father's grain mill. Green received only four terms of formal schooling, and at the age of nine he had surpassed his teachers. Green studied mathematics in his spare time and in 1828 published his most famous work, An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism. It was in this essay that the famous Green's Theorem and Green's functions first appeared. Although this work was largely ignored during his lifetime, it is now considered of major importance in modern physics.

Energy and Empire

Energy and Empire
Author: Crosbie Smith
Publisher: Cambridge University Press
Total Pages: 906
Release: 1989-10-26
Genre: Biography & Autobiography
ISBN: 9780521261739

This study of Lord Kelvin, the most famous mathematical physicist of 19th-century Britain, delivers on a speculation long entertained by historians of science that Victorian physics expressed in its very content the industrial society that produced it.