Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, this classic text begins with a brief introduction to some generalities of trigonometrical series. Discussions of the Fourier series in Hilbert space lead to an examination of further properties of trigonometrical Fourier series and related subjects.

Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. Korner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. There are few textbooks in mathematics as well-known as Hardy s Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigor of the purist in his exposition of the fundamental ideas of the...

G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty...