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.

An introduction to the theory of numbers

Science & Math

G. H. Hardy

E.M. Wright

Mathematics

Oxford: At the Clarendon Press

This classic work, written by two of the 20th century's most distinguished mathematicians, explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means. 1915 edition.

The General Theory of Dirichlet's Series (Dover Books on Mathematics)

Marcel Riesz

Dover Publications

A mathematician's apology

foreword by C. P. Snow

Cambridge [England] ; Cambridge University Press, 1992

From the Preface by J. E. Littlewood: "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."

Divergent Series (AMS Chelsea Publishing)

American Mathematical Society

Mathematician's Apology

C.P. SNOW

Cambridge University Press

The general theory of Dirichlet's series

History

Nabu Press

Excerpt from Orders of Infinity: The 'Infinit rcalc l' of Paul Du Bois-Reymond HE ideas of Du bois-reymond's Infinitarcalcul are of great and growing importance in all branches of the theory of functions. With the particular system of notation that he invented, it is, no doubt, quite possible to dispense; but it can hardly be denied that the notation is exceedingly useful, being clear, concise, and expressive in a very high degree. In any case Du bois-reymond was a mathe matician of such power and originality that it would be a great pity if so much of his best work were allowed to be forgotten. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This 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.

Orders of Infinity: The 'Infinitärcalcül' of Paul Du Bois-Reymond (Classic Reprint)

Forgotten Books

Excerpt from Orders of Infinity: The 'Infinitärcalcül' of Paul Du Bois-ReymondHE ideas of Du bois-reymond's Infinitarcalcul are of great and growing importance in all branches of the theory of functions. With the particular system of notation that he invented, it is, no doubt, quite possible to dispense; but it can hardly be denied that the notation is exceedingly useful, being clear, concise, and expressive in a very high degree. In any case Du bois-reymond was a mathe matician of such power and originality that it would be a great pity if so much of his best work were allowed to be forgotten.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.

A Course of Pure Mathematics

Godfrey Harold "G. H." Hardy FRS (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, Hardy is known for the Hardy–Weinberg principle, a basic principle of population genetics. In addition to his research, Hardy is remembered for his 1940 essay on the aesthetics of mathematics, titled A Mathematician's Apology. He was the mentor of the Indian mathematician Srinivasa Ramanujan. A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in the UK and is downloadable from various internet websites. It remains one of the most popular books on pure mathematics. I. REAL VARIABLES II. FUNCTIONS OF REAL VARIABLES III COMPLEX NUMBERS IV LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE V LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS VI DERIVATIVES AND INTEGRALS VII ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS VIII THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS IX THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS OF A REAL VARIABLE X THE GENERAL THEORY OF THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS The book was intended to help reform mathematics teaching in the UK, and more specifically in the University of Cambridge and in schools preparing to study higher mathematics. It was aimed directly at "scholarship level" students – the top 10% to 20% by ability. Hardy himself did not originally find a passion for mathematics, only seeing it as a way to beat other students, which he did decisively, and gain scholarships.[1] However, his book excels in effectively explaining analytical number theory and calculus following the rigor of mathematics. Whilst his book changed the way the subject was taught at university, the content reflects the era in which the book was written. The whole book explores number theory and the author constructs real numbers theoretically. It adequately deals with single-variable calculus, sequences, number series, properties of cos, sin, log, etc. but does not refer to mathematical groups, multi-variable functions or vector calculus. Each section includes some demanding problems. Hardy combines the enthusiasm of the missionary with the rigor of the 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. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economic and energetic style of presentation is one that modern authors rarely come close to. Despite its limitations, it is considered a classic in its field. It is probably of most use to 1st-year university students of pure mathematics.

Merchant Books

Bir Matematikçinin Savunması = [ A Mathematician's Apology]

Afrika Yayınları

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