Most Popular Books by G. H. Hardy

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 of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both the statement and proof of all the standard inequalities of analysis. The authors were well-known for their powers of exposition and made this subject accessible to a wide audience of mathematicians.

The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat''s Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.

Originally published in 1910 as number twelve in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides an up-to-date version of Du Bois-Reymond''s Infinitärcalcül by the celebrated English mathematician G. H. Hardy. This tract will be of value to anyone with an interest in the history of mathematics or the theory of functions.

Classic graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition.

In 1916 Bertrand Russell was prosecuted and fined for publishing (in defence of a conscientious objector) ''statements likely to prejudice the recruiting and discipline of His Majesty''s forces.'' He was almost immediately afterwards dismissed from his Lectureship at Trinity College, Cambridge, by the College Council. This expulsion provoked a storm of protest and the true facts of the case became obscured by misconceptions, prejudices and uninformed gossip, to the discredit of the College. In 1942, therefore G. H. Hardy the mathematician printed for private circulation to another generation of Fellows at Trinity a full account of the incident in an attempt to explain what really happened. This is now made public. Besides provoking an authoritative record of a celebrated but misinterpreted episode in Russell''s eventful academic career, this document contains interesting evidence about attitudes to pacifism in the First World War and in particular about the sympathies of such distinguished colleagues and contemporaries of Russell as Cornford, Housman, McTaggart and Whitehead.

Originally published in 1915 as number eighteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, and here reissued in its 1952 reprinted form, this book contains a condensed account of Dirichlet''s Series, which relates to number theory. This tract will be of value to anyone with an interest in the history of mathematics or in the work of G. H. Hardy.

"Some Famous Problems of the Theory of Numbers and in particular Waring''s Problem" was a lecture delivered at the University of Oxford in 1920 by G.H. Hardy, M.A., F.R.S.

The Integration of Functions of a Single Variable G. H. Hardy

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