HISTORY OF MODERN MATHEMATICS

DAVID EUGENE SMITH
Professor of Mathematics in Teachers College
Columbia University

Fourth edition, enlarged
1906

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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