In my textbook Gauss's Theorem is different than your study material.
It states that, "Total normal electric induction over a closed surface is equal to algebraic sum of total charges enclosed by the surface."
Pls explain it.

Both the definitions of the Gauss's law are correct.You can refer any.

Gauss Theorem

It states that the total electric flux through a closed surface enclosing a charge is equal to times the magnitude of the charge enclosed.

However, 

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