The Philosophy of Mathematics

This edition features
• a linked Table of Contents, linked Footnotes, and linked Index

CONTENTS
INTRODUCTION.
GENERAL CONSIDERATIONS ON MATHEMATICAL SCIENCE
BOOK I. ANALYSIS.
CHAPTER I. GENERAL VIEW OF MATHEMATICAL ANALYSIS
CHAPTER II. ORDINARY ANALYSIS; OR, ALGEBRA.
CHAPTER III. TRANSCENDENTAL ANALYSIS: its different conceptions
CHAPTER IV. THE DIFFERENTIAL AND INTEGRAL CALCULUS
CHAPTER V. THE CALCULUS OF VARIATIONS
CHAPTER VI. THE CALCULUS OF FINITE DIFFERENCES
BOOK II. GEOMETRY.
CHAPTER I. A GENERAL VIEW OF GEOMETRY
CHAPTER II. ANCIENT OR SYNTHETIC GEOMETRY
CHAPTER III. MODERN OR ANALYTICAL GEOMETRY

About the Author
"Isidore Auguste Marie François Xavier Comte (1798 – 1857), better known as Auguste Comte, was a French philosopher. He was a founder of the discipline of sociology and of the doctrine of positivism. He may be regarded as the first philosopher of science in the modern sense of the term.

Strongly influenced by the Utopian socialist Henri Saint-Simon, Comte developed the positive philosophy in an attempt to remedy the social malaise of the French revolution, calling for a new social doctrine based on the sciences. Comte was a major influence on 19th century thought, impacting the work of social thinkers such as Karl Marx, John Stuart Mill, and George Eliot. His concept of sociologie and social evolutionism, though now outdated, set the tone for early social theorists and anthropologists such as Harriet Martineau and Herbert Spencer, evolving into Modern academic sociology presented by Émile Durkheim as practical and objective social research.

Comte's social theories culminated in the "religion of humanity", which was influential to the development of religious humanist and Secular Humanist organizations in the 19th century. Comte likewise coined the word "altruism"." -- Wikipedia