An introduction to the theory of numbers / G.H. HARDY / Oxford science publications (1994)

Public ISBD Aucun avis sur cette notice. Faire une suggestion d'achat 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 Index An 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 Index

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Discrete mathematics / Norman BIGGS / Oxford science publications (1989)

Public ISBD Aucun avis sur cette notice. Faire une suggestion d'achat Titre : Discrete mathematics Type de document : texte imprimé Auteurs : Norman BIGGS, Auteur Editeur : Oxford science publications Année de publication : 1989 Importance : 480 p. Format : 25 cm. ISBN/ISSN/EAN : 978-0-19-853427-3 Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Algébre Index. décimale : 04-03 Algébre Résumé : This carefully structured text provides a comprehensive, straightforward treatment of discrete mathematics. The author's traditional, deductive approach avoids unnecessary abstraction and covers a wide range of topics, from graph theory and combinatorics to number theory, coding theory and algebraic methods. Abundant examples and exercises help students gain a solid understanding of the subject. The revised edition incorporates changes suggested by instructors already using the text. The new material includes descriptions of algorithms that closely resemble a real programming language for easier implementation by students of both mathematics and computer science. SOMMAIRE: NUMBERS AND COUNTING Integers Functions and counting Principles of counting Subests and designs Partition, classification and distribution Modular arithmetic GRAPHS AND ALGORITHMS Algorithms and their efficiency Graphs Tree, sorting and searching Bipartie graphs and matching problems Digraphs, networks and flows Recursive techniques ALGEBRAIC METHODS Groups Groups of permutations Rings, fields and polynomials Finite fields and some applications Error-correcting codes Generating functions Partitions of a positive integer Symmetry and counting Answers to selected exercices Discrete mathematics [texte imprimé] / Norman BIGGS, Auteur . - Oxford science publications, 1989 . - 480 p. ; 25 cm. ISBN : 978-0-19-853427-3 Langues : Anglais (eng) Catégories : MATHÉMATIQUES:Algébre Index. décimale : 04-03 Algébre Résumé : This carefully structured text provides a comprehensive, straightforward treatment of discrete mathematics. The author's traditional, deductive approach avoids unnecessary abstraction and covers a wide range of topics, from graph theory and combinatorics to number theory, coding theory and algebraic methods. Abundant examples and exercises help students gain a solid understanding of the subject. The revised edition incorporates changes suggested by instructors already using the text. The new material includes descriptions of algorithms that closely resemble a real programming language for easier implementation by students of both mathematics and computer science. SOMMAIRE: NUMBERS AND COUNTING Integers Functions and counting Principles of counting Subests and designs Partition, classification and distribution Modular arithmetic GRAPHS AND ALGORITHMS Algorithms and their efficiency Graphs Tree, sorting and searching Bipartie graphs and matching problems Digraphs, networks and flows Recursive techniques ALGEBRAIC METHODS Groups Groups of permutations Rings, fields and polynomials Finite fields and some applications Error-correcting codes Generating functions Partitions of a positive integer Symmetry and counting Answers to selected exercices

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Disorder in physical systems / G. R. GRIMMETT / Oxford science publications (1990)

Public ISBD Aucun avis sur cette notice. Faire une suggestion d'achat Titre : Disorder in physical systems : a volume in honour of john m. Hammersley Type de document : texte imprimé Auteurs : G. R. GRIMMETT, Auteur ; D.J.A. WELSH, Auteur Editeur : Oxford science publications Année de publication : 1990 Importance : 378 p. Format : 25 cm. ISBN/ISSN/EAN : 978-0-19-853215-6 Langues : Anglais (eng) Catégories : GÉNÉRALITÉS:Proceedings-Congrès-Conférences-Colloques Index. décimale : 00-08 Proceedings-Congrès-Conférences-colloques Disorder in physical systems : a volume in honour of john m. Hammersley [texte imprimé] / G. R. GRIMMETT, Auteur ; D.J.A. WELSH, Auteur . - Oxford science publications, 1990 . - 378 p. ; 25 cm. ISBN : 978-0-19-853215-6 Langues : Anglais (eng) Catégories : GÉNÉRALITÉS:Proceedings-Congrès-Conférences-Colloques Index. décimale : 00-08 Proceedings-Congrès-Conférences-colloques

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