A Course of Pure Mathematics

A Course of Pure Mathematics
	Cover of Third edition, 1921
Author	G. H. Hardy
Language	English
Subject	Mathematical Analysis
Publisher	Cambridge University Press
Publication date	1908
Publication place	England
ISBN	0521720559

A Course of Pure Mathematics is a classic textbook on introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites. It remains one of the most popular books on pure mathematics.

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

Review

The book was intended to help reform mathematics teaching in the UK, and more specifically in the University of Cambridge and in schools preparing to study higher mathematics. It was aimed directly at "scholarship level" students – the top 10% to 20% by ability. Hardy himself did not originally find a passion for mathematics, only seeing it as a way to beat other students, which he did decisively, and gain scholarships.^[1]