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The Number System of Algebra: Number Systems from the Egyptians to the Greeks to the Europeans to Arabic

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I THEORETICAL
1 THE POSITIVE INTEGER,
AND THE LAWS WHICH REGULATE THE ADDITION AND
MULTIPLICATION OF POSITIVE INTEGERS
The number concept
Numerical equality
Numeral symbols
The numerical equation
Counting
Addition and its laws
Multiplication and its laws

2 SUBTRACTION AND THE NEGATIVE INTEGER
Numerical subtraction
Determinateness of numerical subtraction
Formal rules of subtraction
Limitations of numerical subtraction
Symbolic equations
Principle of permanence. Symbolic subtractio...