G.H. Hardy

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.

This is the fifth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory of numbers nor a 'popular' book for non-mathematical readers. It contains short accounts of the elements of many different sides of the theory, not usually combined in a single volume; and, although it is written for mathematicians, the range of mathematical knowledge presupposed is not greater than that of an intelligent first-year student. In this edition the main changes are in the notes at the end of each chapter; Sir Edward Wright seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present, both in the notes and in the text, a reasonably accurate account of the present state of knowledge.

There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

From the Preface by J. E. "All [Hardy's] books gave him some degree of pleasure, but this one, his last, was his favourite. When embarking on it he told me that he believed in its value (as well he might), and also that he looked forward to the task with enthusiasm. He had actually given lectures on the subject at intervals ever since his return to Cambridge in 1931, and he had at one time or another lectured on everything in the book except Chapter XIII [The Euler-MacLaurin sum formula] ... [I]n the early years of the century the subject [Divergent Series], while in no way mystical or unrigorous, was regarded as sensational, and about the present title, now colourless, there hung an aroma of paradox and audacity."

Ramanujan occupies a unique place in analytic number his formulas, identities and calculations are still amazing mathematicians three-quarters of a century after his death. Many of his discoveries seem to have appeared as if from the ether. His mentor and primary collaborator was G.H. Hardy. Here, Hardy collects 12 of his own lectures on topics stemming from Ramanujan's life and work. The topics partitions, hypergeometric series, Ramanujan's tau-function and round numbers.

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.

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.

The ideas of Du Bois-Reymond's Innitarcalcul are of great andgrowing importance in all branches of the theory of functions. Withthe particular system of notation that he invented, it is, no doubt, quitepossible to dispense; but it can hardly be denied that the notation isexceedingly useful, being clear, concise, and expressive in a very highdegree. In any case Du Bois-Reymond was a mathematician of suchpower and originality that it would be a great pity if so much of hisbest work were allowed to be forgotten...

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.

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The Integration of Functions of a Single Variable: Large Print By G. H. Hardy 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

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The book was intended to improve mathematics teaching in the UK, but more specifically at the University of Cambridge and in schools teaching higher mathematics. Directed at "scholarship level" students – the top 10% to 20% by excellence. Hardy himself did not first find a passion for math, only regarding it as a way to beat other students, and gain scholarships. However, this book excels in adequately explaining analytical number theory and calculus following the rigor of mathematics.

English, Pages 870. Reprinted in 2013 with the help of original edition published long back. This book is in black & white, Hardcover, sewing binding for longer life with Matt laminated multi-Colour Dust Cover, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, there may be some pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Customisation is possible). Hope you will like it and give your comments and suggestions. Original Collected Papers of G. H. Hardy - Volume 6 [Hardcover], Original Godfrey Harold Hardy

eng, Volume 17, Pages 29. Reprinted in 2015 with the help of original edition published long back[1916]. This book is in black & white, Hardcover, sewing binding for longer life with Matt laminated multi-Colour Dust Cover, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, there may be some pages which are blur or missing or black spots. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Customisation is possible). Hope you will like it and give your comments and suggestions. Original Weierstrass'S Non Differentiable Function [Hardcover] Volume 17 1916 [Hardcover], Original G. H. Hardy

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The first edition of Hardy's Integration of Functions of a Single Variable was published in 1905, with this 1916 second edition being reprinted up until 1966. Now this digital reprint of the second edition will allow the twenty-first-century reader a fresh exploration of the text. Hardy's chapters provide a comprehensive review of elementary functions and their integration, the integration of algebraic functions and Laplace's principle, and the integration of transcendental functions. The text is also saturated with explanatory notes and usable examples centred around the elementary problem of indefinite integration and its solutions. Appendices contain useful bibliographic references and a workable demonstration of Abel's proof, rewritten specifically for the second edition. This innovative tract will continue to be of interest to all mathematicians specialising in the theory of integration and its historical development.

Excerpt from How to Start a Men's ChoirThe Rules of several of the best male-voice choirs in London are also given in the Appendix. In the case of the Stock Exchange Orchestral and Choral Society, the playing and the singing members meet separately. The conductor of the orchestra is Mr. Arthur W. Payne. The choir conductor is Mr. Munro davison.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from The Integration of Functions of a Single VariableThe reader who is familiar with the theory of algebraical functions and algebraical plane curves will no doubt find the treatment in Section V. Of the integrals of algebraical functions sketchy and inadequate. I hope, however, that he will bear in mind the great difficulty of presenting even an outline of the elements of so vast a subject in a short space and without presupposing a wider range of mathematical knowledge than I am at liberty to assume. I have naturally not said much about particular devices which are only useful in special cases, but I have tried to show, where it is possible, how such devices find their place in the general theory. And I would strongly recommend any reader who is not already familiar with the general processes here explained to work through a number of examples (those for instance which have been set in the Mathe matical Tripos in recent years) using in each case both the general method and any special method which he may find better adapted to the particular case.

{ 19.78 x 26.13 cms} Leather Binding on Spine and Corners with Golden Leaf Printing on round Spine (extra customization on request like complete leather, Golden Screen printing in Front, Color Leather, Colored book etc.) Reprinted in 2013 with the help of original edition published long back [1974]. This book is printed in black & white, sewing binding for longer life, printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, we processed each page manually and make them readable but in some cases some pages which are blur or missing or black spots. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. Hope you will like it and give your comments and suggestions. - English, - Volume 6, Pages 870. EXTRA 10 DAYS APART FROM THE NORMAL SHIPPING PERIOD WILL BE REQUIRED FOR LEATHER BOUND BOOKS. COMPLETE LEATHER WILL COST YOU EXTRA US$ 25 APART FROM THE LEATHER BOUND BOOKS. {FOLIO EDITION IS ALSO AVAILABLE.} Complete Collected Papers of G. H. Hardy Including joint papers with J. E. Littlewood And Others Volume 6 1974 G. H. Hardy