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Vector Analysis

Index Vector Analysis

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. [1]

31 relations: A History of Vector Analysis, Bivector (complex), Cargill Gilston Knott, Celestial navigation, Complex number, Cross product, Del, Dot product, Dover Publications, Edwin Bidwell Wilson, Electromagnetism, Elementary Principles in Statistical Mechanics, Euclidean vector, Exercise (mathematics), Helmholtz decomposition, Internet Archive, Josiah Willard Gibbs, Light, Linear algebra, Oliver Heaviside, Quaternion, Scalar (mathematics), Spherical trigonometry, Standing wave, Textbook, Triple product, Unit circle, Vector calculus, Vector field, Victor Schlegel, Yale University.

A History of Vector Analysis

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.

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Bivector (complex)

In mathematics, a bivector is the vector part of a biquaternion.

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Cargill Gilston Knott

Prof Cargill Gilston Knott FRS, FRSE LLD (30 June 1856 – 26 October 1922) was a Scottish physicist and mathematician who was a pioneer in seismological research.

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Celestial navigation

Celestial navigation, also known as astronavigation, is the ancient and modern practice of position fixing that enables a navigator to transition through a space without having to rely on estimated calculations, or dead reckoning, to know their position.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Cross product

In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space \left(\mathbb^3\right) and is denoted by the symbol \times.

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Del

Del, or nabla, is an operator used in mathematics, in particular in vector calculus, as a vector differential operator, usually represented by the nabla symbol ∇.

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Dot product

In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.

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Dover Publications

Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.

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Edwin Bidwell Wilson

Edwin Bidwell Wilson (April 25, 1879 – December 28, 1964) was an American mathematician and polymath.

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Electromagnetism

Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

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Elementary Principles in Statistical Mechanics

Elementary Principles in Statistical Mechanics, published in March 1902, is a work of scientific literature by Josiah Willard Gibbs which is considered to be the foundation of modern statistical mechanics.

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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

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Exercise (mathematics)

A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge.

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Helmholtz decomposition

In physics and mathematics, in the area of vector calculus, Helmholtz's theorem, also known as the fundamental theorem of vector calculus, states that any sufficiently smooth, rapidly decaying vector field in three dimensions can be resolved into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field; this is known as the Helmholtz decomposition or Helmholtz representation.

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Internet Archive

The Internet Archive is a San Francisco–based nonprofit digital library with the stated mission of "universal access to all knowledge." It provides free public access to collections of digitized materials, including websites, software applications/games, music, movies/videos, moving images, and nearly three million public-domain books.

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Josiah Willard Gibbs

Josiah Willard Gibbs (February 11, 1839 – April 28, 1903) was an American scientist who made important theoretical contributions to physics, chemistry, and mathematics.

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Light

Light is electromagnetic radiation within a certain portion of the electromagnetic spectrum.

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Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

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Oliver Heaviside

Oliver Heaviside FRS (18 May 1850 – 3 February 1925) was an English self-taught electrical engineer, mathematician, and physicist who adapted complex numbers to the study of electrical circuits, invented mathematical techniques for the solution of differential equations (equivalent to Laplace transforms), reformulated Maxwell's field equations in terms of electric and magnetic forces and energy flux, and independently co-formulated vector analysis.

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Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

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Scalar (mathematics)

A scalar is an element of a field which is used to define a vector space.

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Spherical trigonometry

Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.

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Standing wave

In physics, a standing wave – also known as a stationary wave – is a wave which oscillates in time but whose peak amplitude profile does not move in space.

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Textbook

A textbook or coursebook (UK English) is a manual of instruction in any branch of study.

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Triple product

In vector algebra, a branch of mathematics, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors.

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Unit circle

In mathematics, a unit circle is a circle with a radius of one.

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Vector calculus

Vector calculus, or vector analysis, is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space \mathbb^3.

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Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

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Victor Schlegel

Victor Schlegel (1843–1905) was a German mathematician.

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Yale University

Yale University is an American private Ivy League research university in New Haven, Connecticut.

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Redirects here:

Vector Analysis (Gibbs/Wilson).

References

[1] https://en.wikipedia.org/wiki/Vector_Analysis

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