There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit
Contents 1. Real variables; 2. Functions of real variables; 3. Complex numbers; 4. Limits of functions of a positive integral variable; 5. Limits of functions of a continuous variable: continuous and discontinuous functions; 6. Derivatives and integrals; 7. Additional theorems in the differential and integral calculus; 8. The convergence of infinite series and infinite integrals; 9. The logarithmic, exponential, and circular functions of a real variable; 10. The general theory of the logarithmic, exponential, and circular functions; Appendices; Index.