The Number-System of Algebra

<p>I THEORETICAL</p><p>1. THE POSITIVE INTEGER AND THE LAWS WHICH REGULATE THE ADDITION AND MULTIPLICATION OF POSITIVE INTEGERS.</p><p>2. SUBTRACTION AND THE NEGATIVE INTEGER.</p><p>3. DIVISION AND THE FRACTION.</p><p>4. THE IRRATIONAL</p><p>5. THE IMAGINARY COMPLEX NUMBERS.</p><p>6. GRAPHICAL REPRESENTATION OF NUMBERS. THE VARIABLE.</p><p>7. THE FUNDAMENTAL THEOREM OF ALGEBRA.</p><p>8. INFINITE SERIES.</p><p>9. THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS UNDETERMINED COEFFICIENTS INVOLUTION AND EVOLUTION. THE BINOMIAL THEOREM</p><p><br></p><p> HISTORICAL </p><p><br></p><p>10. PRIMITIVE NUMERALS.</p><p>11. HISTORIC SYSTEMS OF NOTATION.</p><p>12. THE FRACTION.</p><p>13. ORIGIN OF THE IRRATIONAL</p><p>14. ORIGIN OF THE NEGATIVE AND THE IMAGINARY THE EQUATION.</p><p>15. ACCEPTANCE OF THE NEGATIVE THE GENERAL IRRATIONAL AND THE IMAGINARY AS NUMBERS.</p><p>16. RECOGNITION OF THE PURELY SYMBOLIC CHARACTER OF ALGEBRA. QUATERNIONS. AUSDEHNUNGSLEHRE.</p>