Godfrey Harold Hardy fut un éminent mathématicien anglais, reconnu pour ses contributions à la théorie des nombres et à l'analyse mathématique. Le grand public le connaît principalement pour son essai de 1940, 'A Mathematician's Apology', qui explore l'esthétique des mathématiques et est considéré comme un aperçu exceptionnel de l'esprit d'un mathématicien pour le lecteur profane. Son rôle de mentor et de collaborateur proche du mathématicien indien Srinivasa Ramanujan, dont Hardy a immédiatement reconnu le génie extraordinaire et autodidacte, est devenu une association célèbre. Hardy lui-même considérait la découverte de Ramanujan comme sa plus grande contribution et décrivait leur collaboration comme 'le seul incident romantique de ma vie'.
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
