Hirschfeld, J. W. P. (James William Peter) 1940
Overview
Works:  43 works in 235 publications in 2 languages and 8,333 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Opponent, 958, Creator, Collector, Contributor 
Classifications:  QA471, 516.5 
Publication Timeline
.
Most widely held works by
J. W. P Hirschfeld
Algebraic curves over a finite field by
J. W. P Hirschfeld(
)
19 editions published between 2008 and 2013 in English and Undetermined and held by 1,388 WorldCat member libraries worldwide
This title provides a selfcontained introduction to the theory of algebraic curves over a finite field, whose origins can be traced back to the works of Gauss and Galois on algebraic equations in two variables with coefficients modulo a prime number
19 editions published between 2008 and 2013 in English and Undetermined and held by 1,388 WorldCat member libraries worldwide
This title provides a selfcontained introduction to the theory of algebraic curves over a finite field, whose origins can be traced back to the works of Gauss and Galois on algebraic equations in two variables with coefficients modulo a prime number
Surveys in combinatorics, 2001 by British Combinatorial Conference(
)
13 editions published in 2001 in English and Undetermined and held by 1,351 WorldCat member libraries worldwide
This volume contains the proceedings of the 18th British Combinatorial Conference. This meeting, held every two years is now a key event for mathematicians working in combinatorics throughout the world. The papers contained here are from the invited speakers and are thus of a quality fitting for the event. This book will be a valuable reference for researchers in a variety of branches of combinatorics. However, graduate students will find much here that will be of use for future directions in their research
13 editions published in 2001 in English and Undetermined and held by 1,351 WorldCat member libraries worldwide
This volume contains the proceedings of the 18th British Combinatorial Conference. This meeting, held every two years is now a key event for mathematicians working in combinatorics throughout the world. The papers contained here are from the invited speakers and are thus of a quality fitting for the event. This book will be a valuable reference for researchers in a variety of branches of combinatorics. However, graduate students will find much here that will be of use for future directions in their research
Finite geometries and designs : proceedings of the second Isle of Thorns conference 1980 by
P. J Cameron(
)
22 editions published between 1980 and 2011 in English and held by 1,208 WorldCat member libraries worldwide
This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics
22 editions published between 1980 and 2011 in English and held by 1,208 WorldCat member libraries worldwide
This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics
Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA
Conference, Papeete, France, 711 May 2007 by
Jean Chaumine(
)
12 editions published in 2008 in English and held by 1,147 WorldCat member libraries worldwide
This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicatio
12 editions published in 2008 in English and held by 1,147 WorldCat member libraries worldwide
This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applicatio
Geometry, combinatorial designs, and related structures : proceedings of the first Pythagorean conference by
J. W. P Hirschfeld(
)
23 editions published between 1997 and 2006 in English and held by 1,134 WorldCat member libraries worldwide
This volume examines state of the art research in finite geometries and designs
23 editions published between 1997 and 2006 in English and held by 1,134 WorldCat member libraries worldwide
This volume examines state of the art research in finite geometries and designs
Projective geometries over finite fields by
J. W. P Hirschfeld(
Book
)
36 editions published between 1978 and 2005 in English and held by 619 WorldCat member libraries worldwide
I. Introduction 1. Finite fields 2. Projective spaces and algebraic varieties II. Elementary general properties 3. Subspaces 4. Partitions 5. Canonical forms for varieties and polarities III. The line and the plane 6. The line 7. First properties of the plane 8. Ovals 9. Arithmetic of arcs of degree two 10. Arcs in ovals 11. Cubic curves 12. Arcs of higher degree 13. Blocking sets 14. Small planes Appendix Notation References
36 editions published between 1978 and 2005 in English and held by 619 WorldCat member libraries worldwide
I. Introduction 1. Finite fields 2. Projective spaces and algebraic varieties II. Elementary general properties 3. Subspaces 4. Partitions 5. Canonical forms for varieties and polarities III. The line and the plane 6. The line 7. First properties of the plane 8. Ovals 9. Arithmetic of arcs of degree two 10. Arcs in ovals 11. Cubic curves 12. Arcs of higher degree 13. Blocking sets 14. Small planes Appendix Notation References
General Galois geometries by
J. W. P Hirschfeld(
)
31 editions published between 1991 and 2018 in 3 languages and held by 563 WorldCat member libraries worldwide
This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly selfcontained study of classical varieties over a finite field, related incidence structures and particular point sets in finite ndimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level
31 editions published between 1991 and 2018 in 3 languages and held by 563 WorldCat member libraries worldwide
This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly selfcontained study of classical varieties over a finite field, related incidence structures and particular point sets in finite ndimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level
Finite projective spaces of three dimensions by
J. W. P Hirschfeld(
Book
)
17 editions published between 1985 and 2005 in English and held by 359 WorldCat member libraries worldwide
17 editions published between 1985 and 2005 in English and held by 359 WorldCat member libraries worldwide
Some properties of differentiable varieties and transformations; with special reference to the analytic and algebraic cases by
Beniamino Segre(
Book
)
10 editions published in 1971 in 3 languages and held by 289 WorldCat member libraries worldwide
The present volume contains, together with numerous additions and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the {laquo}Centro Internazionale Mate matico Estivo{raquo}. The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter. Of the nine parts into which the work is divided, the first four are essentially differential in character, the next three deal with algebraic geometry, while the last two are concerned with certain aspects of the theory of differential equations and of correspondences between topo logical varieties. A glance at the index will suffice to give a more exact idea of the range and variety of the contents, whose chief characteristic is that of establishing suggestive and sometimes unforeseen relations between apparently diverse subjects (e. g. differential geometry in the small and also in the large, algebraic geometry, function theory, topo logy, etc.); prominence is given throughout to the geometrical viewpoint, and tedious calculations are as far as possible avoided
10 editions published in 1971 in 3 languages and held by 289 WorldCat member libraries worldwide
The present volume contains, together with numerous additions and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the {laquo}Centro Internazionale Mate matico Estivo{raquo}. The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter. Of the nine parts into which the work is divided, the first four are essentially differential in character, the next three deal with algebraic geometry, while the last two are concerned with certain aspects of the theory of differential equations and of correspondences between topo logical varieties. A glance at the index will suffice to give a more exact idea of the range and variety of the contents, whose chief characteristic is that of establishing suggestive and sometimes unforeseen relations between apparently diverse subjects (e. g. differential geometry in the small and also in the large, algebraic geometry, function theory, topo logy, etc.); prominence is given throughout to the geometrical viewpoint, and tedious calculations are as far as possible avoided
Advances in finite geometries and designs : proceedings of the Third Isle of Thorns Conference 1990 by Advances in finite geometries and designs(
Book
)
13 editions published in 1991 in English and held by 182 WorldCat member libraries worldwide
13 editions published in 1991 in English and held by 182 WorldCat member libraries worldwide
Surveys in Combinatorics, 2001 by
J. W. P Hirschfeld(
)
1 edition published in 2001 in English and held by 15 WorldCat member libraries worldwide
The British Combinatorial Conference is held every two years and is now a key event for mathematicians worldwide, working in combinatorics. This volume is published on the occasion of the 18th meeting, which was held 1st6th July 2001 at the University of Sussex. The papers contained here are surveys contributed by the invited speakers, and are thus of a quality befitting the event. There is also a tribute to Crispin NashWilliams, past chairman of the British Combinatorial Committee. The diversity of the subjects covered means that this will be a valuable reference for researchers in combinatorics. However, graduate students will also find much here that could be of use for stimulating future research
1 edition published in 2001 in English and held by 15 WorldCat member libraries worldwide
The British Combinatorial Conference is held every two years and is now a key event for mathematicians worldwide, working in combinatorics. This volume is published on the occasion of the 18th meeting, which was held 1st6th July 2001 at the University of Sussex. The papers contained here are surveys contributed by the invited speakers, and are thus of a quality befitting the event. There is also a tribute to Crispin NashWilliams, past chairman of the British Combinatorial Committee. The diversity of the subjects covered means that this will be a valuable reference for researchers in combinatorics. However, graduate students will also find much here that could be of use for stimulating future research
Finite geometries : proceedings of the Fourth Isle of Thorns Conference by
A Blokhuis(
)
3 editions published in 2001 in English and held by 12 WorldCat member libraries worldwide
When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following interlinked areas:  combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest'  geometric and algebraic coding theory'  finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries'  algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory
3 editions published in 2001 in English and held by 12 WorldCat member libraries worldwide
When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following interlinked areas:  combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest'  geometric and algebraic coding theory'  finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries'  algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory
Surveys in combinatorics, 2001 by British Combinatorial Conference(
Book
)
1 edition published in 2001 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 11 WorldCat member libraries worldwide
Projective Geometries over Finite Fields. Oxford Mathematical Monographs by
J. W. P Hirschfeld(
)
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
This book is an account of the combinatorics of projective spaces over a finite field, with special emphasis on one and two dimensions. With its successor volumes, Finite projective spaces over three dimensions (1985), which is devoted to three dimensions, and General Galois geometries (1991), on a general dimension, it provides a comprehensive treatise of this area of mathematics. The area is interesting in itself, but is important for its applications to coding theory and statistics, and its use of group theory, algebraic geometry, and number theory. This edition is a complete reworking of the first edition. The chapters bear almost the same titles as the first edition, but every chapter has been changed. The most significant changes are to Chapters 2, 10, 12, 13, which respectively describe generalities, the geometry of arcs in ovals, the geometry of arcs of higher degree, and blocking sets. The book is divided into three parts.; The first part comprises two chapters, the first of which is a survey of finite fields; the second outlines the fundamental properties of projective spaces and their automorphisms, as well as properties of algebraic varieties and curves, in particular, that are used in the rest of the book and the accompanying two volumes. Parts II and III are entirely selfcontained; all proofs of results are given. The second part comprises Chapters 3 to 5. They cover, in an arbitrary dimension, the properties of subspaces such as their number and characterization, of partitions into both subspaces and subgeometries, and of quadrics and Hermitian varieties, as well as polarities. Part III is a detailed account of the line and the plane. In the plane, fundamental properties are first revisited without much resort to the generalities of Parts I and II. Then, the structure of arcs and their relation to curves is described; this includes arcs both of degree two and higher degrees. There are further chapters on blocking sets and on small planes, which means of orders up to thirteen. A comprehensive bibliography of more than 3000 items is provided.; At the end of each chapter is a section, Notes and References, which attributes proofs, includes further comments, and lists every relevant reference from the bibliography
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
This book is an account of the combinatorics of projective spaces over a finite field, with special emphasis on one and two dimensions. With its successor volumes, Finite projective spaces over three dimensions (1985), which is devoted to three dimensions, and General Galois geometries (1991), on a general dimension, it provides a comprehensive treatise of this area of mathematics. The area is interesting in itself, but is important for its applications to coding theory and statistics, and its use of group theory, algebraic geometry, and number theory. This edition is a complete reworking of the first edition. The chapters bear almost the same titles as the first edition, but every chapter has been changed. The most significant changes are to Chapters 2, 10, 12, 13, which respectively describe generalities, the geometry of arcs in ovals, the geometry of arcs of higher degree, and blocking sets. The book is divided into three parts.; The first part comprises two chapters, the first of which is a survey of finite fields; the second outlines the fundamental properties of projective spaces and their automorphisms, as well as properties of algebraic varieties and curves, in particular, that are used in the rest of the book and the accompanying two volumes. Parts II and III are entirely selfcontained; all proofs of results are given. The second part comprises Chapters 3 to 5. They cover, in an arbitrary dimension, the properties of subspaces such as their number and characterization, of partitions into both subspaces and subgeometries, and of quadrics and Hermitian varieties, as well as polarities. Part III is a detailed account of the line and the plane. In the plane, fundamental properties are first revisited without much resort to the generalities of Parts I and II. Then, the structure of arcs and their relation to curves is described; this includes arcs both of degree two and higher degrees. There are further chapters on blocking sets and on small planes, which means of orders up to thirteen. A comprehensive bibliography of more than 3000 items is provided.; At the end of each chapter is a section, Notes and References, which attributes proofs, includes further comments, and lists every relevant reference from the bibliography
Some properties of differentiable varieties and transformations; with special reference to the analytic and algebraic cases.
2d ed. With an additional part written in collaboration with J.W.P. Hirschfeld by
Beniamino Segre(
Book
)
2 editions published in 1971 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 4 WorldCat member libraries worldwide
Surveys in Combinatorics by
J. W. P Hirschfeld(
)
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
General Galois theory by
J. W. P Hirschfeld(
Book
)
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
Finite geometries by
A Blokhuis(
)
1 edition published in 2013 in English and held by 3 WorldCat member libraries worldwide
Proceedings of the Fourth Isle of Thorns Conference
1 edition published in 2013 in English and held by 3 WorldCat member libraries worldwide
Proceedings of the Fourth Isle of Thorns Conference
Surveys in combinatorics, 2001 00(
Book
)
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
Combinatorics 2002 : [... held in Maratea (Potenza) from 2nd to 8th June 2002 ...](
Book
)
1 edition published in 2005 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 3 WorldCat member libraries worldwide
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Related Identities
 Torres, F. (Fernando)
 Korchmáros, G. Author
 Hughes, D. R. (Daniel R.) Editor
 Cameron, Peter J. (Peter Jephson) 1947 Author Editor
 Rolland, Robert Other Editor
 Chaumine, Jean Other Author Editor
 De Resmini, M. J. (Marialuisa J.) Other Editor
 Magliveras, Spyros S. (Spyros Simos) 1938 Other Editor
 Lachaud, Gilles Other Honoree
 Thas, J. A. (Joseph Adolf) Other Contributor Editor
Useful Links
Associated Subjects
Algebra Combinatorial analysis Combinatorial designs and configurations Computational complexity Computer science Curves, Algebraic Differential invariants Finite fields (Algebra) Finite geometries Galois theory Geometry Geometry, Algebraic Geometry, Differential Geometry, Projective Graph theory Group theory Mathematics Point set theory Projective spaces Transformations (Mathematics)
Covers
Alternative Names
Hirschfeld, J. W.
Hirschfeld, J. W. P.
Hirschfeld, J. W. P. 1940
Hirschfeld, James.
Hirschfeld, James 1940
Hirschfeld, James W. 1940
Hirschfeld, James W. P. 1940
Hirschfeld, James William Peter
Hirschfeld, James William Peter 1940
James William Peter Hirschfeld
James William Peter Hirschfeld wiskundige
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