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Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, . [1] The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.
Vector Analysis is a textbook by Edwin Bidwell Wilson, first published in 1901 and based on the lectures that Josiah Willard Gibbs had delivered on the subject at Yale University. The book did much to standardize the notation and vocabulary of three-dimensional linear algebra and vector calculus, as used by physicists and mathematicians. It was ...
A History of Vector Analysis (1967) is a book on the history of vector analysis by Michael J. Crowe, originally published by the University of Notre Dame Press.As a scholarly treatment of a reformation in technical communication, the text is a contribution to the history of science.
La matematica da scienza delle grandezze a teoria delle forme: l ' Ausdehnungslehre di H. Grassmann [The Mathematics of Quantities to the Science of Forms: The Ausdehnungslehre of H. Grassmann] (PDF) (PhD thesis) (in Italian). University of Genoa. Crowe, Michael J. (1967). A History of Vector Analysis. University of Notre Dame Press. ISBN 0-486 ...
He is best known for writing the influential book A History of Vector Analysis. [2] After the Great Vector Debate of the 1890s it was generally assumed that quaternions had been superseded by vector analysis. But in his book, published in 1967, Crowe showed how, contrarily, vector analysis directly stemmed from the quaternions. [3]
The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...
Vector Analysis, a textbook on vector calculus by Wilson, first published in 1901, which did much to standardize the notation and vocabulary of three-dimensional linear algebra and vector calculus; Vector bundle, a topological construction that makes precise the idea of a family of vector spaces parameterized by another space
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.
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