A Course of Pure Mathematics

A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy.

It is recommended for people studying calculus.



I. REAL VARIABLES

II. FUNCTIONS OF REAL VARIABLES

III COMPLEX NUMBERS

IV LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE

V LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS

VI DERIVATIVES AND INTEGRALS

VII ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS

VIII THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS

IX THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS OF A REAL VARIABLE

X THE GENERAL THEORY OF THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS