Einstein notation
Sign in to saveAlso known as Einstein summation convention, summation convention
shorthand notation for tensor operations
~15 min read
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In mathematics, especially the usage of linear algebra in mathematical physics and differential geometry, Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving brevity. As part of mathematics it is a notational subset of Ricci calculus; however, it is often used in physics applications that do not distinguish between tangent and cotangent spaces. It was introduced to physics by Albert Einstein in 1916.
Introduction
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differential form
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free and bound variables
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Ricci calculus
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linear map
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basis
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covariance and contravariance of vectors
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abstract index notation
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mathematics
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Albert Einstein
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physics
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Carl Friedrich Gauss
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Leonhard Euler
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engineering
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Greek alphabet
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addition
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linear algebra
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general relativity
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mathematician
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electromagnetism
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set
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