Originally published in 1908, this classic calculus text remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of the mathematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, and properties of cos, sin, and log. Meticulous expositions detail the fundamental ideas underlying differential and integral calculus, the properties of infinite series, and the notion of limit. AUTHOR: English mathematician G. H. Hardy (1877–1947) specialized in number theory and mathematical analysis and is responsible for biology's Hardy-Weinberg principle of population genetics. He mentored Indian mathematician Srinivasa Ramanujan, with whom he coined the Hardy-Ramanujan number, and he wrote the classic essay, "A Mathematician's Apology."