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for that series. Mindful of the demand for innovative university textbooks, the editor of the series, Professor Morris, wished to include also a volume dedicated to Gibbs's lectures on vectors, but Gibbs's time and attention were entirely absorbed by the
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at
Harvard, but Dean A. W. Phillips persuaded him to take Gibbs's course on vectors, which treated similar problems from a rather different perspective. After Wilson had completed the course, Morris approached him about the project of producing a
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in 1878, so as Gibbs was teaching physics in the 1880s he took these developments into consideration for his students. A pamphlet that he printed for them acknowledges both
Grassmann and Clifford. The influence of Grassmann is seen in the
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The book carries the subtitle "A text-book for the use of students of mathematics and physics. Founded upon the lectures of J. Willard Gibbs, Ph.D., LL.D." The first chapter covers
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On the occasion of the bicentennial of Yale
University, a series of publications were to be issued to showcase Yale's role in the advancement of knowledge. Gibbs was authoring
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that
Professor Gibbs taught at Yale. First Wilson associates a bivector with an ellipse. The product of the bivector with a
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E. B. Wilson was then a new graduate student in mathematics. He had learned about quaternions from
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and a quadruple product. Pages 77–81 cover the essentials of
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Title page to Vector
Analysis by Edwin Bidwell Wilson (1907 copy)
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Elements of Vector
Analysis: arranged for students in physics
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Textbook by E. B. Wilson based on the lectures of J. W. Gibbs
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Vector
Analysis, based on the Lectures of J. W. Gibbs
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in three spatial dimensions, the concept of a (real)
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who was formulating his own vectorial system in the
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165:for pairs of vectors. These are extended to a
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448:Jahrbuch über die Fortschritte der Mathematik
431:Bulletin of the American Mathematical Society
269:In 1888 Gibbs sent a copy of his pamphlet to
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196:as these were integral to the course on the
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343:Table of contents to Vector Analysis (1907)
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216:. Wilson continues with a description of
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129:and vocabulary of three-dimensional
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275:Transactions of the Royal Society
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468:A History of Vector Analysis
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458:6th Ser, 4:614–22.
218:elliptic harmonic motion
102:United States of America
422:Alexander Ziwet (1902)
183:Helmholtz decomposition
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239:in 1844 and 1862, and
189:is given on page 237.
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289:Statistical Mechanics
167:scalar triple product
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