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Auteur G.H. HARDY
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Titre : An introduction to the theory of numbers Type de document : texte imprimé Auteurs : G.H. HARDY, Auteur ; E.M. WRIGHT, Auteur Mention d'édition : 05 ed Editeur : Oxford science publications Année de publication : 1994 Importance : 426 p. Format : 25 cm. ISBN/ISSN/EAN : 0-0001 00011055 9 Note générale : Index. Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Algébre Index. décimale : 04-03 Algébre Résumé : 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. 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 reader The 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.
Table of Contents:
Preface to the sixth edition, Andrew Wiles
Preface to the fifth edition
1: The Series of Primes (1)
2: The Series of Primes (2)
3: Farey Series and a Theorem of Minkowski
4: Irrational Numbers
5: Congruences and Residues
6: Fermat's Theorem and its Consequences
7: General Properties of Congruences
8: Congruences to Composite Moduli
9: The Representation of Numbers by Decimals
10: Continued Fractions
11: Approximation of Irrationals by Rationals
12: The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p)
13: Some Diophantine Equations
14: Quadratic Fields (1)
15: Quadratic Fields (2)
16: The Arithmetical Functions ø(n), µ(n), *d(n), *s(n), r(n)
17: Generating Functions of Arithmetical Functions
18: The Order of Magnitude of Arithmetical Functions
19: Partitions
20: The Representation of a Number by Two or Four Squares
21: Representation by Cubes and Higher Powers
22: The Series of Primes (3)
23: Kronecker's Theorem
24: Geometry of Numbers
25: Elliptic Curves, Joseph H. Silverman
Appendix
List of Books
Index of Special Symbols and Words
Index of Names
General IndexAn introduction to the theory of numbers [texte imprimé] / G.H. HARDY, Auteur ; E.M. WRIGHT, Auteur . - 05 ed . - Oxford science publications, 1994 . - 426 p. ; 25 cm.
ISSN : 0-0001 00011055 9
Index.
Langues : Anglais (eng)
Catégories : MATHÉMATIQUES:Algébre Index. décimale : 04-03 Algébre Résumé : 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. 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 reader The 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.
Table of Contents:
Preface to the sixth edition, Andrew Wiles
Preface to the fifth edition
1: The Series of Primes (1)
2: The Series of Primes (2)
3: Farey Series and a Theorem of Minkowski
4: Irrational Numbers
5: Congruences and Residues
6: Fermat's Theorem and its Consequences
7: General Properties of Congruences
8: Congruences to Composite Moduli
9: The Representation of Numbers by Decimals
10: Continued Fractions
11: Approximation of Irrationals by Rationals
12: The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p)
13: Some Diophantine Equations
14: Quadratic Fields (1)
15: Quadratic Fields (2)
16: The Arithmetical Functions ø(n), µ(n), *d(n), *s(n), r(n)
17: Generating Functions of Arithmetical Functions
18: The Order of Magnitude of Arithmetical Functions
19: Partitions
20: The Representation of a Number by Two or Four Squares
21: Representation by Cubes and Higher Powers
22: The Series of Primes (3)
23: Kronecker's Theorem
24: Geometry of Numbers
25: Elliptic Curves, Joseph H. Silverman
Appendix
List of Books
Index of Special Symbols and Words
Index of Names
General IndexRéservation
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Titre : A course of pure mathematics Type de document : texte imprimé Auteurs : G.H. HARDY, Auteur Mention d'édition : 03 Editeur : University of Cambridge Année de publication : 1994 Importance : 509p. Format : 23cm. ISBN/ISSN/EAN : 978-0-521-09227-2 Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Mathématique générales Index. décimale : 04-01 Mathématique générales Résumé : 'Hardy … writes in a vigorous and enthusiastic and yet still precise style, with a lot of comments on how the stuff, brand new at the time, should be viewed by the reader. … The reader feels safe and well-led. … in a hundred years, the book has lost none of its power. It is still a great reading and a unique inspiration. May the generations of young mathematicians for which Hardy's book will be the gate to analysis continue forever.' EMS Newsletter
Présentation de l'éditeur
There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour 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. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.A course of pure mathematics [texte imprimé] / G.H. HARDY, Auteur . - 03 . - University of Cambridge, 1994 . - 509p. ; 23cm.
ISBN : 978-0-521-09227-2
Langues : Anglais (eng)
Catégories : MATHÉMATIQUES:Mathématique générales Index. décimale : 04-01 Mathématique générales Résumé : 'Hardy … writes in a vigorous and enthusiastic and yet still precise style, with a lot of comments on how the stuff, brand new at the time, should be viewed by the reader. … The reader feels safe and well-led. … in a hundred years, the book has lost none of its power. It is still a great reading and a unique inspiration. May the generations of young mathematicians for which Hardy's book will be the gate to analysis continue forever.' EMS Newsletter
Présentation de l'éditeur
There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour 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. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.Réservation
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Titre : Inequalities Type de document : texte imprimé Auteurs : G.H. HARDY, Auteur ; J. E. LITTLEWOOD, Auteur ; G. POLYA, Auteur Mention d'édition : second edition Editeur : Cambridge university press Année de publication : 1994 Importance : 324 p. Format : 24 cm. ISBN/ISSN/EAN : 978-0-521-35880-4 Note générale : Bibliog. Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Analyse Index. décimale : 04-02 Analyse Résumé : 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.
SOMMAIRE:
INTRODUCTION
ELEMENTARY MEAN VALUES
MEAN VALUES WITH AN ARBITRARY FUNCTION AND THE THEORY OF CONVEX FUNCTION
VARIOUS APPLICATIONS OF THE CALCULUS
INFINITE SERIES
INTEGRALS
SOME APPLICATIONS OF THE CALCULUS OF VARIATIONS
SOME THEOREMS CONCERNING BILINEAR AND MULTILINEAR FORMS
HILBERTS INEQUALITY AND ITS ANALOGUES AND EXTENSIONS
REARRANGEMENTS
Inequalities [texte imprimé] / G.H. HARDY, Auteur ; J. E. LITTLEWOOD, Auteur ; G. POLYA, Auteur . - second edition . - Cambridge university press, 1994 . - 324 p. ; 24 cm.
ISBN : 978-0-521-35880-4
Bibliog.
Langues : Anglais (eng)
Catégories : MATHÉMATIQUES:Analyse Index. décimale : 04-02 Analyse Résumé : 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.
SOMMAIRE:
INTRODUCTION
ELEMENTARY MEAN VALUES
MEAN VALUES WITH AN ARBITRARY FUNCTION AND THE THEORY OF CONVEX FUNCTION
VARIOUS APPLICATIONS OF THE CALCULUS
INFINITE SERIES
INTEGRALS
SOME APPLICATIONS OF THE CALCULUS OF VARIATIONS
SOME THEOREMS CONCERNING BILINEAR AND MULTILINEAR FORMS
HILBERTS INEQUALITY AND ITS ANALOGUES AND EXTENSIONS
REARRANGEMENTS
Réservation
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