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Mathematical Papers of the Late George Green: Fellow of Gonville and Caius College, Cambridge (Classic Reprint) - Softcover
Synopsis
Excerpt from Mathematical Papers of the Late George Green: Fellow of Gonville and Caius College, Cambridge
On the Reflexion and Refraction of Light at the common surface of two non-crystallized media. These two papers should be studied together. The question discussed in the first is, in fact, that of the propagation of normal vibrations through a fluid. Particular attention should be paid to the mode in which, from the differential equations of motion, is deduced explanation of a phenomenon analogous to that known in Optics as Total internal reflection when the angle of incidence exceeds the critical angle. By supposing that there are pro pagated, in the second medium, vibrations which rapidly dimi nish in intensity, and become evanescent at sensible distances, the change of phase which accompanies this phenomenon is clearly brought into View.
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Book Description
The mathematical physicist George Green (1793–1841) is best remembered for his Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism (1828). Edited by Norman Macleod Ferrers (1829–1903) and published in 1871, this collection comprises Green's influential essay and nine further papers.
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Paperback. Condition: New. Print on Demand. This book delves into the intriguing world of electricity and magnetism, exploring the mathematical frameworks used to understand these fundamental forces of nature. The author, working in the early 19th century, grapples with the theories of renowned scientists like Cavendish and Poisson, seeking to clarify and extend their work. He introduces the concept of a "potential function," a mathematical tool that simplifies the analysis of electrical forces. Through this approach, the author investigates the distribution of electricity on surfaces and within bodies, revealing the principles governing electrical equilibrium in both perfect and imperfect conductors. He also tackles the challenging problem of magnetism, delving into the constitution of magnetic bodies and the forces that govern their behavior. The book culminates with an examination of how magnetism is induced in elongated bodies, offering a theoretical framework for understanding the phenomena observed in magnets. This groundbreaking work offers a rich mathematical foundation for understanding the forces of electricity and magnetism, cementing its place in the history of scientific thought. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330100684_0
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