PREFACE.

INTRODUCTION.

CHAPTER I. GENERAL VIEW OF MATHEMATICAL ANALYSIS.

CHAPTER II. ORDINARY ANALYSIS, OR ALGEBRA.

CHAPTER III. TRANSCENDENTAL ANALYSIS: DIFFERENT MODES OF VIEWING IT.

CHAPTER IV. THE DIFFERENTIAL AND INTEGRAL CALCULUS. ITS TWO FUNDAMENTAL DIVISIONS.

CHAPTER V. THE CALCULUS OF VARIATIONS.

CHAPTER VI. THE CALCULUS OF FINITE DIFFERENCES.

CHAPTER I. GENERAL VIEW OF GEOMETRY.

CHAPTER II. ANCIENT OR SYNTHETIC GEOMETRY.

CHAPTER III. MODERN OR ANALYTICAL GEOMETRY.

THE
PHILOSOPHY
OF
MATHEMATICS.

THE PHILOSOPHY OF MATHEMATICS;

TRANSLATED FROM THE
COURS DE PHILOSOPHIE POSITIVE
OF
AUGUSTE COMTE,

BY
W. M. GILLESPIE,
PROFESSOR OF CIVIL ENGINEERING & ADJ. PROF. OF MATHEMATICS
IN UNION COLLEGE.

NEW YORK:
HARPER & BROTHERS, PUBLISHERS,
82 CLIFF STREET
1851.

Entered, according to Act of Congress, in the year one thousand
eight hundred and fifty-one, by

Harper & Brothers.

in the Clerk's Office of the District Court of the Southern District
of New York.