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Mathematical Papers of the Late George Green, Fellow of Gonville and Caius College, Cambridge (Classic Reprint) - Couverture souple

Green, George

 
9781333016951: Mathematical Papers of the Late George Green, Fellow of Gonville and Caius College, Cambridge (Classic Reprint)

Synopsis

George Green’s Collected Mathematical Papers: a classic collection of early 19th-century insights on potential, fluids, optics, and vibration.

This facsimile edition presents the late George Green’s work as edited by N. M. Ferrers, offering a window into a largely self-taught mathematical genius and his pioneering ideas. The volume gathers papers that influenced theories of magnetism, electricity, wave motion, and light, many of which shaped later developments in physics and engineering.

The contents trace Green’s investigations into the mathematics of forces, fluid behavior, wave propagation, and optical phenomena. Through careful exposition and editorial notes, readers encounter foundational concepts such as potential energy, conservation principles, and the mathematics behind sound and light in complex media. The collection also includes discussions on pendulums in fluids and the theoretical underpinnings of wave theory.
  • Explore foundational ideas on potential, energy, and the motion of fluids.
  • See early analyses of wave behavior, sound, and light at material interfaces.
  • Follow Green’s approach to elasticity, polarization, and the propagation of vibrations.
  • Learn how editors frame the manuscripts and connect them to 19th-century mathematical study.
Ideal for readers interested in the history of mathematics, physics, and the origins of classical theories, and for students seeking a tangible link to early 1800s scientific thought.

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Présentation de l'éditeur

The first paper, which is also the longest and perhaps the most important was published by subscription at Nottingham in 1828. It was in this paper that the term potential was first introduced to denote the result obtained by adding together the masses of all the particles of a system, each divided by its distance from a given point In this essay, which is divided into three parts, the properties of this function are first con sidered, and they are then applied, in the second and third parts, to the theories of magnetism and electricity respectively. The full analysis of this essay which the author has given in his Preface, renders any detailed description in this place unnecessary. In connexion with this essay, the corresponding portions ofT homson and Tait sN atural PhU oaophy should be studied, especially Appendix A. to Chap. I., and A rts. 482 660, inclusive. The next paper, On theL aws of theE quilibrium ofF luids analogous to theE lectric Fluid, was laid before the Cambridge Philosophical Society byS irE dward Ffrench Bromhead, in 1832. The law of repulsion of the particles of the supposed fluid here considered is taken to be inversely proportional to then power of the distance. This paper, though displaying great analytical power, is perhaps rather curious than practically interesting; and a similar remark applies to that which succeeds it, On the determination of the attractions of Ellipsoids of variable Densities, which, like its predecessor, was communicated to the Cambridge Philosophical Society byS ir E. F. Bromhead.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically importa

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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