Projective Geometries over Finite Fields (Oxford Mathematical Monographs)

Valutazione media 4
( su 1 valutazioni fornite da Goodreads )
 
9780198502951: Projective Geometries over Finite Fields (Oxford Mathematical Monographs)

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 the only comprehensive treatise on 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 new edition is a complete reworking, containing extensive revisions, particularly in the chapters on generalities, the geometry of arcs in ovals, the geometry of arcs of higher degree, and blocking sets. Part I gives a survey of finite fields and an outline of the fundamental properties of projective spaces and their automorphisms; it includes the properties of algebraic varieties and curves used throughout the book and in the companion volumes. Part II covers, in an arbitrary dimension, the properties of subspaces, 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 plane; with little reference to the generalities from Parts I and II, the author revisits fundamental properties of the plane and then describes the structure of arcs and their relation to curves. This part includes chapters on blocking sets and on small planes (those with orders up to thirteen). With a comprehensive bibliography containing over 3,000 items, this volume will prove invaluable to researchers in finite geometry, coding theory and combinatorics.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:

Dr J. W. P. Hirschfeld, School of Mathematical Sciences, University of Sussex, Brighton, BN1 9QH. Tel.: +44 1273 678080; fax: +44 1273 678097

Review:


"Seven years ago, James Hirschfeld completed his ambitious project of giving a self-contained and comprehensive account of projective spaces over finite fields. The three volumes comprising this work . . . are Projective geometries over finite fields (1979), Finite projective spaces of three dimensions (1986) and General Galois geometries (1991). . . . Dr Hirschfeld has now written a second edition of the first volume of the trilogy. This is, in fact, a complete reworking, taking account of many new results proved since 1979. . . . As before, the volume is concisely but clearly written . . . The author is not planning second editions of the successor volumes, and so the new trilogy, comprising the 1998, 1986 and 1991 volumes, looks set to be the standard reference work on projective spaces over finite fields for many years to come. The publishers are currently offering the three-volume set at just over half-price. Snap it up!"--Bulletin of the London Mathematical Society


Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Hirschfeld, James
Editore: OUP Oxford (2016)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro OUP Oxford, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780198502951_lsuk

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 191,52
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,36
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

2.

Hirschfeld, James
Editore: Clarendon Press (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Rilegato Quantità: 10
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Clarendon Press, 1998. Hardcover. Condizione libro: New. Codice libro della libreria INGM9780198502951

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 217,24
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,50
In U.S.A.
Destinazione, tempi e costi

3.

Hirschfeld, J. W. P.
Editore: Clarendon Press (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Quantità: > 20
Print on Demand
Da
Pbshop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Clarendon Press, 1998. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780198502951

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 223,59
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,33
In U.S.A.
Destinazione, tempi e costi

4.

Hirschfeld, J. W. P.
Editore: Clarendon Press (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Clarendon Press, 1998. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780198502951

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 220,31
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,14
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

James Hirschfeld
Editore: Clarendon Press (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Rilegato Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Clarendon Press, 1998. Hardcover. Condizione libro: New. book. Codice libro della libreria M0198502958

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 236,54
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

6.

Hirschfeld, James
Editore: Clarendon Press (2017)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Rilegato Quantità: 2
Print on Demand
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Clarendon Press, 2017. Hardcover. Condizione libro: New. Never used! This item is printed on demand. Codice libro della libreria P110198502958

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 241,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 1,66
In U.S.A.
Destinazione, tempi e costi

7.

J. W. P. Hirschfeld
Editore: Oxford University Press, United Kingdom (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Rilegato Quantità: 10
Print on Demand
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press, United Kingdom, 1998. Hardback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book ***** Print on Demand *****.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 self-contained; 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. Codice libro della libreria APC9780198502951

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 258,93
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

8.

J. W. P. Hirschfeld
Editore: Oxford University Press, United Kingdom (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Rilegato Quantità: 10
Print on Demand
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Oxford University Press, United Kingdom, 1998. Hardback. Condizione libro: New. 2nd Revised edition. Language: English . Brand New Book ***** Print on Demand *****. 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 self-contained; 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. Codice libro della libreria APC9780198502951

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 262,09
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

9.

James Hirschfeld
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Quantità: > 20
Print on Demand
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Codice libro della libreria POD_9780198502951

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 297,35
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

10.

James Hirschfeld
Editore: Oxford University Press, USA (1998)
ISBN 10: 0198502958 ISBN 13: 9780198502951
Nuovi Rilegato Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Oxford University Press, USA, 1998. Hardcover. Condizione libro: New. 2. Codice libro della libreria DADAX0198502958

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 307,38
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,50
In U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro