The Number-System of Algebra

I THEORETICAL
1. THE POSITIVE INTEGER, AND THE LAWS WHICH REGULATE THE ADDITION AND MULTIPLICATION OF POSITIVE INTEGERS.
2. SUBTRACTION AND THE NEGATIVE INTEGER.
3. DIVISION AND THE FRACTION.
4. THE IRRATIONAL
5. THE IMAGINARY COMPLEX NUMBERS.
6. GRAPHICAL REPRESENTATION OF NUMBERS. THE VARIABLE.
7. THE FUNDAMENTAL THEOREM OF ALGEBRA.
8. INFINITE SERIES.
9. THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS UNDETERMINED COEFFICIENTS INVOLUTION AND EVOLUTION. THE BINOMIAL THEOREM
HISTORICAL

10. PRIMITIVE NUMERALS.
11. HISTORIC SYSTEMS OF NOTATION.
12. THE FRACTION.
13. ORIGIN OF THE IRRATIONAL
14. ORIGIN OF THE NEGATIVE AND THE IMAGINARY THE EQUATION.
15. ACCEPTANCE OF THE NEGATIVE, THE GENERAL IRRATIONAL, AND THE IMAGINARY AS NUMBERS.
16. RECOGNITION OF THE PURELY SYMBOLIC CHARACTER OF ALGEBRA. QUATERNIONS. AUSDEHNUNGSLEHRE.