G H Hardy

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

G.H. Hardy's text is a good single volume refresher course for work in analysis and more advanced algebra, including number theory. Not quite as modern as Birkhoff and MacLane's text, or Manes' work, this volume forms the underpinnings of both works. If you have a good understanding of the preliminary work required in algebra and geometry, Hardy can be read directly and with pleasure. If you have a desire to understand the basis of what is presented in most first-year calculus texts, then Hardy's text is for you.

One of the most famous collaborations in the history of mathematics, this book tells the story of the brilliant Indian mathematician Srinivasa Ramanujan and his collaboration with the eminent British mathematician G.H. Hardy. Exploring Ramanujan's work on complex analysis, number theory, and other fields, this book provides a fascinating glimpse into the mind of one of the greatest mathematical geniuses of all time.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Hardy's book became a classic soon after it was published. It is still an excellent text for the motivated undergraduate student of mathematics.

A Mathematician's Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into the mind of a working mathematician written for the layman.A Mathematician's Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into the mind of a working mathematician written for the layman.

Hardy's book became a classic soon after it was published. It is still an excellent text for the motivated undergraduate student of mathematics.

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. We have represented this book in the same form as it was first published. Hence any marks seen are left intentionally to preserve its true nature.

Originally published in 1908, this classic calculus text transformed university teaching and 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, and properties of cos, sin, and log. Meticulous expositions detail the fundamental ideas underlying differential and integral calculus, the properties of infinite series, and the notion of limit. An expert in the fields of analysis and number theory, author G. H. Hardy taught for decades at both Cambridge and Oxford. A Course of Pure Mathematics is suitable for college and high school students and teachers of calculus as well as fans of pure math. Each chapter includes demanding problem sets that allow students to apply the principles directly, and four helpful Appendixes supplement the text.

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 insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his 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.

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.