Search results for ""Author G. H. Hardy""
Cambridge University Press The Integration of Functions of a Single Variable Cambridge Tracts in Mathematics and Mathematical Physics
Book SynopsisThe 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.Table of Contents1. Introduction; 2. Elementary functions and their classification; 3. The integration of elementary functions: summary of results; 4. The integration of rational functions; 5. The integration of algebraical functions; 6. The integration of transcendental functions; Appendices.
£36.87
LEGARE STREET PR Orders of Infinity the Infinitärcalcül of Paul Du BoisReymond
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£14.09
Hawk Press A Mathematician's Apology
£23.47
Rough Draft Printing A Course of Pure Mathematics
£16.58
Cambridge University Press A Course of Pure Mathematics Cambridge Mathematical Library
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£47.49
David Rehak A Mathematician's Apology
Book SynopsisA 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.
£8.06
Cambridge University Press Orders of Infinity The Infinitarcalcul Of Paul Du BoisReymond Cambridge Tracts in Mathematics
Book SynopsisOriginally 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 InfinitÃrcalcÃl 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.Table of Contents1. Introduction; 2. Scales of infinity in general; 3. Logarithmico-exponential scales; 4. Special problems connected with logarithmico-exponential scales; 5. Functions which do not conform to any logarithmico-exponential scale; 6. Differentiation and integration; 7. Some developments of Du Bois-Reymond's Infinitärcalcül; Appendix 1. General bibliography; Appendix 2. A sketch of some applications, with references; Appendix 3. Some numerical results.
£22.18
Oxford University Press An Introduction to the Theory of Numbers
Book SynopsisAn 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. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today''s students through the key milestones and developments in number theory. Updates include a chapter by J.H. Silverman on one of the most important 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 readerThe text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists.Trade ReviewReview from previous edition Mathematicians of all kinds will find the book pleasant and stimulating reading, and even experts on the theory of numbers will find that the authors have something new to say on many of the topics they have selected... Each chapter is a model of clear exposition, and the notes at the ends of the chapters, with the references and suggestions for further reading, are invaluable. * Nature *This fascinating book... gives a full, vivid and exciting account of its subject, as far as this can be done without using too much advanced theory. * Mathematical Gazette *...an important reference work... which is certain to continue its long and successful life... * Mathematical Reviews *...remains invaluable as a first course on the subject, and as a source of food for thought for anyone wishing to strike out on his own. * Matyc Journal *Table of ContentsPREFACE TO THE SIXTH EDITION; PREFACE TO THE FIFTH EDITION; APPENDIX; LIST OF BOOKS; INDEX OF SPECIAL SYMBOLS AND WORDS; INDEX OF NAMES; GENERAL INDEX
£53.20
Cambridge University Press Inequalities Cambridge Mathematical Library
Book SynopsisThis 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.Trade Review'In retrospect one sees that 'Hardy, Littlewood and Pólya' has been one of the most important books in analysis in the last few decades. It had an impact on the trend of research and is still influencing it. In looking through the book now one realises how little one would like to change the existing text.' A. Zygmund, Bulletin of the AMSTable of Contents1. Introduction; 2. Elementary mean values; 3. Mean values with an arbitrary function and the theory of convex functions; 4. Various applications of the calculus; 5. Infinite series; 6. Integrals; 7. Some applications of the calculus of variations; 8. Some theorems concerning bilinear and multilinear forms; 9. Hilbert's inequality and its analogues and extensions; 10. Rearrangements; Appendices; Bibliography.
£73.14
Cambridge University Press Collected Papers of Srinivasa Ramanujan
Book SynopsisOriginally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (18871920), with editorial contributions from G. H. Hardy (18771947). Detailed notes are incorporated throughout and appendices are also included.Trade Review'[The book] is introduced by a pair of notes which are sources of wonderful information about Ramanujan in their own right, both as regards his life and his mathematics. After that it is all about his mathematics: thirty-seven articles on number theory, infinite series, integrals, and combinatorics. It is all stunning, both by virtue of the content of these articles and because of the idiosyncrasy of their author.' Michael Berg, MAA ReviewsTable of ContentsPreface; Notice P. V. Seshu and R. Bamachaundra Rao; Notice G. H. Hardy; Part I. Papers: 1. Some properties of Bernoulli's numbers; 2. On question 330 of Prof. Sanjana; 3. Note on a set of simultaneous equations; 4. Irregular numbers; 5. Squaring the circle; 6. Modular equations and approximations to π; 7. On the integral [...]; 8. On the number of divisors of a number; 9. On the sum of the square roots of the first n natural numbers; 10. On the product [...]; 11. Some definite integrals; 12. Some definite integrals connected with Gauss's sums; 13. Summation of a certain series; 14. New expression for Riemann's functions [...]; 15. Highly composite numbers; 16. On certain infinite series; 17. Some formulae in the analytic theory of numbers; 18. On certain arithmetical functions; 19. A series of Euler's constant y; 20. On the expression of a number in the form of ax2+by2+cz2+du2; 21. On certain trigonometrical sums and their applications in the theory of numbers; 22. Some definite integrals; 23. Some definite integrals; 24. A proof of Bertrand's postulate; 25. Some properties of p (n), the number of partitions of n; 26. Proof of certain identities in combinatory analysis; 27. A class of definite integrals; 28. Congruence properties of partitions; 29. Algebraic relations between certain infinite products; 30. Congruence properties of partitions; 29. Algebraic relations between certain infinite products; 30. Congruence properties of partitions; Part II. Papers Written in Collaboration with G. H. Hardy: 31. Une formule asymptotique pour le nombre des partitions de n; 32. Proof that almost all numbers n are composed of about log log n prime factors; 33. Asymptotic formulae in combinatory analysis; 34. Asymptotic formulae for the distribution of integers of various types; 35. The normal number of prime factors of a number n; 36. Asymptotic formulae in combinatory analysis; 37. On the coefficients in the expansions of certain modular functions; Questions and solutions; Appendix 1. Notes on the papers; Appendix 2. Further extracts from Ramanujan's letters to G. H. Hardy.
£41.99
£16.98
