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LSN/MM-17 :: Summation Convention, $\epsilon,\delta$ symbols and All That (LNK)

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Learning Goals

You will learn about Einstein summation convention, Kronecker delta symbol and Levi-Civita epsilon symbol and how to use them. Examples of usage of Kronecker delta and Levi-Civita symbols to vector algebra are presented.

Prerequisites

No prerequisite are needed.


\(\S1\)  Einstein Summation Convention
\(\S2\) Kronecker Delta and Levi-Civita Symbols

\(\S3\) Examples
\(\S 4\) Use of \( \epsilon,\delta\) symbols in vector algebra
\(\S 5\) Quick Questions for You


EndNotes

The discussion of Kronecker \(\delta\) and summation convention presented here is based on Woodhouse :: Examples 3.1-3.6.

References

For introduction to Kronecker delta and Levi Civita Symbol and applications to vector calculus and electromagnetic theory see 0space Link for Levi Civita tensor.

For  (Xtraa Large Amount)  detailed   discussion  of Einstein summation convention and related matters in detail, see  
http://web.iitd.ac.in/~pmvs/courses/mcl702/notation.pdf,   Alt Link

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