Hardy G.H. A Course of Pure Mathematics

Cambridge University Press, 1908. — 165 pages. (Cambridge Mathematical Library)DescriptionThere 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.The classic text by the author of A Mathematician's Apology
Reissue of the much revised 10th edition
Hardy's enthusiasm for his subject and his expository skill have seldom been betteredReal variables; Functions of real variables; Complex numbers; Limits of functions of a positive integral variable; Limits of functions of a continuous variable: continuous and discontinuous functions; Derivatives and integrals; Additional theorems in the differential and integral calculus; The convergence of infinite series and infinite integrals; The logarithmic, exponential, and circular functions; The general theory of the logarithmic, exponential, and circular functions; Appendices; Index.