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