Everything about Abstract index notation
Mathematical notation for tensors and spinors
Abstract index notation is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis. The indices are mere placeholders, not related to any basis and, in particular, are non-numerical. Thus it should not be confused with the Ricci calculus. The notation was introduced by Roger Penrose as a way to use the formal aspects of the Einstein summation convention to compensate for the difficulty in describing contractions and covariant differentiation in modern abstract tensor notation, while preserving the explicit covariance of the expressions involved. Wikipedia →
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📚 Books worth reading
Software EngineeringRoger S. Pressman, Bruce Maxim · 1982
Research DesignJohn W. Creswell, J. David Creswell · 1994
Mathematical structures for computer scienceJudith L. Gersting · 1982
Clean CodeRobert C. Martin · 2008
Design PatternsErich Gamma, John Vlissides · 1995
Eloquent JavascriptMarijn Haverbeke · 2009
Abstract Harmonic AnalysisEdwin Hewitt · 1963
The unified modeling language user guideGrady Booch, James Rumbaugh · 1999
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