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

• 1. Finite fields ; 2. Projective spaces and algebraic varieties ; 3. Subspaces ; 4. Partitions ; 5. Canonical forms for varieties and polarities ; 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

The first edition of this work appeared in 1979, and was immediately recognized as an outstanding contribution to the field of finite geometry; the present volume is a complete revision of the earlier work...The book can serve as the text for a basic course...or as a detailed reference work for all topics in spaces of dimension two...The work is an indispensable aid to all workers in finite geometry, from beginning students to advanced researchers.

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

• 1. Finite fields ; 2. Projective spaces and algebraic varieties ; 3. Subspaces ; 4. Partitions ; 5. Canonical forms for varieties and polarities ; 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

The first edition of this work appeared in 1979, and was immediately recognized as an outstanding contribution to the field of finite geometry; the present volume is a complete revision of the earlier work...The book can serve as the text for a basic course...or as a detailed reference work for all topics in spaces of dimension two...The work is an indispensable aid to all workers in finite geometry, from beginning students to advanced researchers.

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

• 1. Finite fields ; 2. Projective spaces and algebraic varieties ; 3. Subspaces ; 4. Partitions ; 5. Canonical forms for varieties and polarities ; 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

The first edition of this work appeared in 1979, and was immediately recognized as an outstanding contribution to the field of finite geometry; the present volume is a complete revision of the earlier work...The book can serve as the text for a basic course...or as a detailed reference work for all topics in spaces of dimension two...The work is an indispensable aid to all workers in finite geometry, from beginning students to advanced researchers.