A Course of Pure Mathematics

Author: G. H. Hardy
Publisher: Courier Dover Publications
ISBN: 9780486832616
Release Date: 2018-07-18
Genre: Mathematics

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.

COURSE OF PURE MATHEMATICS

Author: G. H. (Godfrey Harold) 1877-1947 Hardy
Publisher: Wentworth Press
ISBN: 1361622571
Release Date: 2016-08-25
Genre: History

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. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.

An Introduction to the Theory of Numbers

Author: Godfrey Harold Hardy
Publisher: Oxford University Press
ISBN: 0199219869
Release Date: 2008-07-31
Genre: Mathematics

An Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. This Sixth Edition has been extensively revised and updated to guide today's students through the key milestones and developments in number theory. Updates include a chapter on one of the mostimportant developments in number theory -- modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader and the clarityof exposition is retained throughout making this textbook highly accessible to undergraduates in mathematics from the first year upwards.

Orders of Infinity

Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 9781107493667
Release Date: 2015-03-26
Genre: Mathematics

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.

Understanding Pure Mathematics

Author: A. J. Sadler
Publisher: Oxford University Press, USA
ISBN: 0199142432
Release Date: 1987
Genre: Mathematics

A classic single-volume textbook, popular for its direct and straightforward approach. Understanding Pure Mathematics starts by filling the gap between GCSE and A Level and builds on this base for candidates taking either single-subject of double-subject A Level.

A Treatise on the Theory of Bessel Functions

Author: G. N. Watson
Publisher: Cambridge University Press
ISBN: 0521483913
Release Date: 1995-08-25
Genre: Mathematics

This monumental 1995 treatise by the late Professor G. N. Watson wil be indispensable to mathematicians and physicists.

A Course of Pure Mathematics

Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 0521052033
Release Date: 1952-01-01
Genre: Mathematics

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.

A Second Course in Mathematical Analysis

Author: J. C. Burkill
Publisher: Cambridge University Press
ISBN: 0521523435
Release Date: 2002-10-24
Genre: Mathematics

Classic calculus text reissued in Cambridge Mathematical Library. Clear, logical with many examples.

The Theory of Algebraic Number Fields

Author: David Hilbert
Publisher: Springer Science & Business Media
ISBN: 9783662035450
Release Date: 2013-03-14
Genre: Mathematics

A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.

A Course in Mathematical Analysis

Author: D. J. H. Garling
Publisher: Cambridge University Press
ISBN: 9781107032026
Release Date: 2013-04-25
Genre: Mathematics

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

Hausdorff Measures

Author: C. A. Rogers
Publisher: Cambridge University Press
ISBN: 0521624916
Release Date: 1998-10-22
Genre: Mathematics

When it was first published this was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. There are three chapters: the first contains an introduction to measure theory, paying particular attention to the study of non-s-finite measures. The second develops the most general aspects of the theory of Hausdorff measures, and the third gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This edition has a foreword by Kenneth Falconer outlining the developments in measure theory since this book first appeared. Based on lectures given by the author at University College London, this book is ideal for graduate mathematicians with no previous knowledge of the subject, but experts in the field will also want a copy for their shelves.

Divergent Series

Author: Godfrey Harold Hardy
Publisher: American Mathematical Soc.
ISBN: 9780821826492
Release Date: 2000
Genre: Mathematics

Review of the original edition: This is an inspiring textbook for students who know the theory of functions of real and complex variables and wish further knowledge of mathematical analysis. There are no problems displayed and labelled ``problems,'' but one who follows all of the arguments and calculations of the text will find use for his ingenuity and pencil. The book deals with interesting and important problems and topics in many fields of mathematical analysis, to an extent very much greater than that indicated by the titles of the chapters. It is, of course, an indispensable handbook for those interested in divergent series. It assembles a considerable part of the theory of divergent series, which has previously existed only in periodical literature. Hardy has greatly simplified and improved many theories, theorems and proofs. In addition, numerous acknowledgements show that the book incorporates many previously unpublished results and improvements of old results, communicated to Hardy by his colleagues and by others interested in the book. --Mathematical Reviews

Inequalities

Author: G. H. Hardy
Publisher: Cambridge University Press
ISBN: 9781107647398
Release Date: 1988-02-25
Genre: Mathematics

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.