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Everything about Einstein notation
Shorthand notation for tensor operations
In mathematics, especially the usage of linear algebra in mathematical physics and differential geometry, Einstein 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. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Einstein notationA 5-minute orientation
- Pick up a classic book: Six not-so-easy piecesThe most-reprinted book on the subject
- Read the landmark paper: Numeric tensor framework: Exploiting and extending Einstein notationCited 11 times
- Go sideways: Covariance and contravariance of vectorsA closely related topic
- Go sideways: Glossary of tensor theoryA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
📚 Books worth reading
Six not-so-easy piecesRichard Phillips Feynman · 1997
Relativistic figures of equilibriumReinhard Meinel, Marcus Ansorg · 2008- 📕Structural Aspects of Quantum Field Theory and Noncommutative GeometryGerhard Grensing · 2013
- 📕Artur SchnabelInternationale Artur-Schnabel-Symposion (2001 Berlin, Germany) · 2003
- 📕Einstein Summation Crash Crash Course50-50 50-50 Publishing, JJtheTutor · 2020
- 📕Notations for a ChimaeraHerbert Sherman Gorman · 1926
- 📕Modern physicsKenneth S. Krane · 2012
Relativistic figures of equilibrium · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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