Fourth edition, enlarged

1906

1906

The Project Gutenberg EBook of History of Modern Mathematics, by David Eugene Smith.

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Title: | History of Modern Mathematics |

Author: | David Eugene Smith |

Release Date: | August 2005 [EBook #8746] |

Edition: | 10 |

Language: | English |

Character set encoding: | UTF-8 |

Markup: | HTML5 + MathML |

Source Markup: | TEX |

EDITORS’
PREFACE.4

AUTHOR’S PREFACE.6

1INTRODUCTION.3

2THEORY OF NUMBERS.7

3IRRATIONAL AND TRANSCENDENT NUMBERS.10

4COMPLEX NUMBERS.13

5QUATERNIONS AND AUSDEHNUNGSLEHRE.16

6THEORY OF EQUATIONS.19

7SUBSTITUTIONS AND GROUPS.23

8DETERMINANTS.26

9QUANTICS.29

10CALCULUS.33

11DIFFERENTIAL EQUATIONS.36

12INFINITE SERIES.40

13THEORY OF FUNCTIONS.43

14PROBABILITIES AND LEAST SQUARES.49

15ANALYTIC GEOMETRY.52

16MODERN GEOMETRY.57

17ELEMENTARY GEOMETRY.61

18NON-EUCLIDEAN GEOMETRY.64

BIBLIOGRAPHY.68

GENERAL TENDENCIES.74

PROJECT GUTENBERG ”SMALL PRINT”1

AUTHOR’S PREFACE.6

1INTRODUCTION.3

2THEORY OF NUMBERS.7

3IRRATIONAL AND TRANSCENDENT NUMBERS.10

4COMPLEX NUMBERS.13

5QUATERNIONS AND AUSDEHNUNGSLEHRE.16

6THEORY OF EQUATIONS.19

7SUBSTITUTIONS AND GROUPS.23

8DETERMINANTS.26

9QUANTICS.29

10CALCULUS.33

11DIFFERENTIAL EQUATIONS.36

12INFINITE SERIES.40

13THEORY OF FUNCTIONS.43

14PROBABILITIES AND LEAST SQUARES.49

15ANALYTIC GEOMETRY.52

16MODERN GEOMETRY.57

17ELEMENTARY GEOMETRY.61

18NON-EUCLIDEAN GEOMETRY.64

BIBLIOGRAPHY.68

GENERAL TENDENCIES.74

PROJECT GUTENBERG ”SMALL PRINT”1