Godfrey Harold Hardy è stato un eminente matematico inglese, noto per i suoi contributi alla teoria dei numeri e all'analisi matematica. Il pubblico non specialista lo conosce soprattutto per il suo saggio del 1940, 'A Mathematician's Apology', che esplora l'estetica della matematica ed è considerato uno spaccato eccezionale nella mente di un matematico per il lettore comune. Il suo ruolo di mentore e stretto collaboratore del matematico indiano Srinivasa Ramanujan, di cui Hardy riconobbe immediatamente la straordinaria genialità, sebbene non avesse ricevuto un'educazione formale, è diventato celebre. Hardy stesso definì la scoperta di Ramanujan il suo più grande contributo e descrisse la loro collaborazione come 'l'unico incidente romantico della mia vita'.
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, more. 1921 edition.
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 as his mathematical powers were declining, 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 insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.
This classic text features a sophisticated treatment of Fourier's pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an introduction to Zygmund's standard treatise.Beginning with a brief introduction to some generalities of trigonometrical series, the book explores the Fourier series in Hilbert space as well as their convergence and summability. The authors provide an in-depth look at the applications of previously outlined theorems and conclude with an examination of general trigonometrical series. Ideally suited for both individual and classroom study, this incisive text offers advanced undergraduate and graduate students in mathematics, physics, and engineering a valuable tool in understanding the essentials of the Fourier series.
The ´Infinitärcalcül´ of Paul du Bois-Reymond
