Excerpt from Vector Analysis: A Text-Book for the Use of Students of Mathematics and Physics
Since the printing of a short pamphlet on the Elements of Vector Analysis in the years 1881-84, never published, but somewhat widely circulated among those who were known to be interested in the subject, the desire has been expressed in more than one quarter, that the substance of that trea tise, perhaps in fuller form, should be made accessible to the public.
As, however, the years passed without my finding the leisure to meet this want, which seemed a real one, I was very glad to have one of the hearers of my course on Vector Analysis in the year 1899 - 1900 undertake the preparation of a text-book on the subject.
I have not desired that Dr. Wilson should aim simply at the reproduction of my lectures, but rather that he should use his own judgment in all respects for the production of a text-book in which the subject should be so illustrated by an adequate number of examples as to meet the wants of stu dents oi geometry and physics.
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Professor Gibbs on VECTOR ANALYSIS for publication in theY ale Bicentennial Series, Professor Gibbs himself was already so fully engaged upon his work to appear in the same series, Elementary Principles inS tatistical Mechanics, that it was understood no material assistance in the composition of this book could be expected from him. For this reason he wished me to feel entirely free to use my own discretion alike in the selection of the topics to be treated and in the mode of treatment. It has been my endeavor to use the freedom thus granted only in so far as was necessary for presenting his method in text-book form. By far the greater part of the material used in the following pages has been taken from the course of lectures on Vector Analysis delivered annually at the University by Professor Gibbs. Some use, however, has been made of the chapters on Vector Analysis in Mr. Oliver Heaviside sE lec~ tromagnetic Theory (E lectrician Series, 1893) and in Professor Foppl slectures on Die MaxwelV sche Theorie derE lectricitdt (T eubner, 1894). My previous study of Quaternions has also been of great assistance. The material thus obtained has been arranged in the way which seems best suited to easy mastery of the subject. Those A rts, which it seemed best to incorporate in the text but which for various reasons may well be omitted at the first reading have been marked with an asterisk (). Numerous illustrative examples have been drawn from geometry, mechanics, and physics. I ndeed, a large part of the text has to do with applications of the method.
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Paperback. Condición: New. Print on Demand. This book delves into the fascinating world of vector analysis, a mathematical tool crucial for understanding various phenomena in geometry and physics. The author meticulously lays out the fundamental concepts of vectors, including addition, subtraction, and multiplication, drawing parallels with familiar algebraic principles. The text then progresses to explore more advanced topics such as derivatives, integrals, and linear vector functions, always with an eye towards practical applications. Through numerous illustrative examples drawn from diverse areas like kinematics, mechanics, and electromagnetism, the book demonstrates the power and versatility of vector analysis in tackling real-world problems. Ultimately, this book equips readers with the ability to think and analyze in terms of vectors, a skill indispensable for any aspiring physicist or mathematician. 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. Nº de ref. del artículo: 9781440089770_0
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