[General Book] ✓ General Galois Geometries (Oxford Mathematical Monographs) PDF by J. W. P. Hirschfeld ↠ eBook or Kindle ePUB free

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• Title : General Galois Geometries (Oxford Mathematical Monographs)
• Author : J. W. P. Hirschfeld
• Rating : 4.73 (783 Vote)
• Publish : 2016-12-15
• Format : Hardcover
• Pages : 424 Pages
• Asin : 0198535376
• Language : English

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In particular, much attention is devoted to hermitian varieties, to Grassmannian varieties, and to polar spaces. It is essentially self-contained and will be an invaluable companion for research workers and post-graduate students working on these topics. With its companion volumes (Projective Geometries Over Finite Fields and Finite Projective Spaces of Three Dimensions) this work will provide a major reference to the subject. The book will be useful to research workers and postgraduate students in combinatorics and geometry, and some computer scientists.. This volume is the culmination of a three volume treatise on this subject. Projective spaces over a finite field, otherwise known as Galois geometries, find wide application in coding theory, algebraic geometry, design theory, graph theory, and group theory as well as being beautiful objects of study in their own right. The topics covered find application across a wide-range of topics in pure mathematics. The authors study three main themes: the study of algebraic varieties over finite fields, the combinatorics of Galois geometries, and the identification of various i

"Generally speaking, every topic introduced in these volumes is treated with comprehensive thoroughness, mainly by using a concrete computational approach, and results are recorded with meticulous care. All this makes it possible for the reader to access results and follow arguments in any section with a minimal amount of back referencing to earlier sections, chapters or volumes. Taken together, these volumes constitute a monumental work of scholarship and are likely to be the standard reference in Galois geometry for the forseeable future."--Mathematical Reviews