SwinnertonDyer, H. P. F.
Overview
Works:  36 works in 116 publications in 3 languages and 4,613 library holdings 

Genres:  Conference papers and proceedings Examinations 
Roles:  Author, Honoree, Other, Dedicatee 
Publication Timeline
.
Most widely held works by
H. P. F SwinnertonDyer
A brief guide to algebraic number theory by
H. P. F SwinnertonDyer(
)
14 editions published between 2001 and 2002 in English and held by 1,637 WorldCat member libraries worldwide
Publisher's description: This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included
14 editions published between 2001 and 2002 in English and held by 1,637 WorldCat member libraries worldwide
Publisher's description: This is an account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes no prior knowledge of the subject, but a firm basis in the theory of field extensions at an undergraduate level is required, and an appendix covers other prerequisites. The book covers the two basic methods of approaching Algebraic Number Theory, using ideals and valuations, and includes material on the most usual kinds of algebraic number field, the functional equation of the zeta function and a substantial digression on the classical approach to Fermat's Last Theorem, as well as a comprehensive account of class field theory. Many exercises and an annotated reading list are also included
Analytic theory of Abelian varieties by
H. P. F SwinnertonDyer(
)
18 editions published in 1974 in English and held by 1,211 WorldCat member libraries worldwide
The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however
18 editions published in 1974 in English and held by 1,211 WorldCat member libraries worldwide
The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however
Number theory and algebraic geometry : to Peter SwinnertonDyer on his 75th birthday by
Miles Reid(
)
8 editions published between 2003 and 2004 in English and held by 1,062 WorldCat member libraries worldwide
Sir Peter SwinnertonDyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, ShafarevichTate groups of elliptic curves and motives, Zagier's conjectures, descent and zerocycles, Diophantine approximation, and Abelian and Fano varieties
8 editions published between 2003 and 2004 in English and held by 1,062 WorldCat member libraries worldwide
Sir Peter SwinnertonDyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, ShafarevichTate groups of elliptic curves and motives, Zagier's conjectures, descent and zerocycles, Diophantine approximation, and Abelian and Fano varieties
Arithmetic geometry : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 1015, 2007 by
J.L ColliotThélène(
)
27 editions published between 2010 and 2011 in English and French and held by 584 WorldCat member libraries worldwide
Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over nonalgebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, localglobal principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by JL ColliotThélène Peter Swinnerton Dyer and Paul Vojta
27 editions published between 2010 and 2011 in English and French and held by 584 WorldCat member libraries worldwide
Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over nonalgebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, localglobal principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by JL ColliotThélène Peter Swinnerton Dyer and Paul Vojta
Towards a science policy for Britain by
H. P. F SwinnertonDyer(
Book
)
4 editions published in 1991 in English and held by 33 WorldCat member libraries worldwide
4 editions published in 1991 in English and held by 33 WorldCat member libraries worldwide
College board scores, their use and interpretation by
College Entrance Examination Board(
Book
)
6 editions published between 1953 and 1955 in English and Undetermined and held by 16 WorldCat member libraries worldwide
6 editions published between 1953 and 1955 in English and Undetermined and held by 16 WorldCat member libraries worldwide
Analytic Theory of Abelian Varieties by
H. P. F SwinnertonDyer(
)
3 editions published in 1974 in English and held by 13 WorldCat member libraries worldwide
This introduction presupposes little more than a basic course in complex variables
3 editions published in 1974 in English and held by 13 WorldCat member libraries worldwide
This introduction presupposes little more than a basic course in complex variables
A Brief Guide to Algebraic Number Theory by
H. P. F SwinnertonDyer(
)
2 editions published in 2001 in English and held by 10 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; Contents; Preface; 1 Numbers and Ideals; 1 The ring of integers; 2 Ideals and factorization; 3 Embedding in the complex numbers; 4 Change of fields; 5 Normal extensions; 2 Valuations; 6 Valuations and completions; 7 Field extensions and ramification; 8 The Different; 9 Idèles and Adèles; 3 Special fields; 10 Quadratic fields; 11 Pure cubic fields; 12 Biquadratic fields; 13 Cyclotomic fields; 13.1 Class numbers of cyclotomic fields; 13.2 Fermat's Last Theorem; 4 Analytic methods; 14 Zeta functions and Lseries
2 editions published in 2001 in English and held by 10 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; Contents; Preface; 1 Numbers and Ideals; 1 The ring of integers; 2 Ideals and factorization; 3 Embedding in the complex numbers; 4 Change of fields; 5 Normal extensions; 2 Valuations; 6 Valuations and completions; 7 Field extensions and ramification; 8 The Different; 9 Idèles and Adèles; 3 Special fields; 10 Quadratic fields; 11 Pure cubic fields; 12 Biquadratic fields; 13 Cyclotomic fields; 13.1 Class numbers of cyclotomic fields; 13.2 Fermat's Last Theorem; 4 Analytic methods; 14 Zeta functions and Lseries
Analytic theory of Abelian varieties(
)
1 edition published in 1974 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 9 WorldCat member libraries worldwide
The storm of 15/16 October 1987 by
Great Britain(
Book
)
3 editions published in 1988 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1988 in English and held by 5 WorldCat member libraries worldwide
University of Ulster : report of the Seven Year Review Committee 19841991(
Book
)
1 edition published in 1992 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 5 WorldCat member libraries worldwide
"Speaking for the future": a review of the requirements of diplomacy and commerce for Asian and African languages and area
studies by
Peter Parker(
Book
)
2 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
Hasse principle and weak approximation for pencils of SeveriBrauer and similar varieties by
J.L ColliotThélène(
Book
)
2 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
De zelfstandige universiteit : naar de éénentwintigste eeuw : UvA/KPMG Conferentie = The university on its own : Amsterdam
17 juni 1992(
Book
)
1 edition published in 1992 in Dutch and held by 2 WorldCat member libraries worldwide
1 edition published in 1992 in Dutch and held by 2 WorldCat member libraries worldwide
Hasse principle for pencils of curves of genus one whose Jacobians have rational 2division points(
)
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
On the product of three homogeneous linear forms and indefinite ternary quadratic forms by
J. W. S Cassels(
Book
)
2 editions published in 1955 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1955 in English and held by 2 WorldCat member libraries worldwide
Double fibres and double covers: paucity of rational points by
J.L ColliotThélène(
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
The Inhomogeneous Minima of Binary Quadratic Forms, etc by
Eric Stephen BARNES(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Elliptic modular functions by
H. P. F SwinnertonDyer(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Planning for the late 1980s by
George P McNicol(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Reid, Miles (Miles A.) Editor
 Skorobogatov, Alexei 1961 Editor
 ColliotThélène, J.L (JeanLouis) Author
 Vojta, Paul 1957 Other
 Corvaja, Pietro Other Editor
 Gasbarri, Carlo 1967 Other Editor
 Centro Internazionale Matematico Estivo <Firenze>
 Fawley Foundation
 Summer School Arithmetic Geometry 2007 Cetraro
 University of Southampton
Useful Links
Associated Subjects
Abelian varieties Africa African languagesStudy and teaching Algebra Algebraic number theory Area studies Arithmetical algebraic geometry Asia Diophantine equations Education and state Elliptic functions Functions, Meromorphic Geometry, Algebraic Great Britain Language and languages Language and languagesStudy and teaching Language and languagesStudy and teaching (Higher) Mathematics Middle East Nevanlinna theory Northern Ireland Number theory Oriental languagesStudy and teaching Political science Public administration Riemann surfaces Science and state Severe storms Storms Study skills United States Universities and colleges Universities and collegesAdmission Universities and collegesEntrance examinations Value distribution theory Weather forecasting
Covers
Alternative Names
Dyer, H.P.F. Swinnerton
Dyer, Henry P. F. Swinnerton 1927
Dyer Henry Peter Francis Swinnerton 1927....
Dyer, Peter Swinnerton.
Peter SwinnertonDyer britisk matematikar
Peter SwinnertonDyer britisk matematiker
Peter SwinnertonDyer Brits wiskundige
Peter SwinnertonDyer brittisk matematiker
Peter SwinnertonDyer englischer Mathematiker
Peter SwinnertonDyer matemático británico
Peter SwinnertonDyer matematico britannico
Peter SwinnertonDyer mathématicien russe
SwinnertonDyer, H. P. F.
SwinnertonDyer H. P. F. 1927....
SwinnertonDyer, Henry P. 1927
SwinnertonDyer, Henry Peter Francis
SwinnertonDyer, Henry Peter Francis 1927
SwinnertonDyer, P. 1927
SwinnertonDyer, Peter.
SwinnertonDyer, Peter 1927
СвиннертонДайер, Питер
ピーター・スウィンナートン＝ダイアー
彼得·斯維訥通戴爾
Languages