1907

Second Edition with Corrections

Second Edition with Corrections

The Project Gutenberg EBook of The Number-system of Algebra Treated Theoretically and Historically by Henry B. Fine

This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at Gutenberg.

Title: | The Number-system of Algebra Treated Theoretically and Historically |

Author: | Henry B. Fine |

Release Date: | October 31, 2012 [EBook #17920] |

Language: | English |

Character set encoding: | utf-8 |

Markup: | HTML5 + MathML |

Source Markup: | LATEX |

ITheoretical9

1The Positive Integer11

2Subtraction and the Negative Integer19

3Division and the Fraction37

4The Irrational49

5The Imaginary. Complex Numbers63

6Graphical Representation of Numbers73

7The Fundamental Theorem of Algebra97

8Inﬁnite Series109

9The Exponential and Logarithmic Functions135

IIHistorical169

10Primitive Numerals171

11Historic Systems of Notation175

12The Fraction183

13Origin of the Irrational187

14Origin of the Negative and the Imaginary191

15Acceptance of the Negative…209

16Recognition of the Purely Symbolic Character217

1The Positive Integer11

2Subtraction and the Negative Integer19

3Division and the Fraction37

4The Irrational49

5The Imaginary. Complex Numbers63

6Graphical Representation of Numbers73

7The Fundamental Theorem of Algebra97

8Inﬁnite Series109

9The Exponential and Logarithmic Functions135

IIHistorical169

10Primitive Numerals171

11Historic Systems of Notation175

12The Fraction183

13Origin of the Irrational187

14Origin of the Negative and the Imaginary191

15Acceptance of the Negative…209

16Recognition of the Purely Symbolic Character217