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Projective Geometry: An Introduction
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Rey Casse
This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinatising a projective ...
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Multiple View Geometry in Computer Vision
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Richard Hartley, Andrew Zisserman
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental ...
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Projective Geometry
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by
H S M Coxeter
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject ...
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Geometry and Symmetry
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Paul B Yale
Designed for advanced undergraduate mathematics or physics courses, this volume focuses on "practical geometry," emphasizing topics and techniques of maximal use in all areas of mathematics. 1968 edition.
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Projective geometry and projective metrics
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Herbert Busemann, Paul J Kelly
Geometers value basic results as much as they do the methods of projective and non-Euclidean geometry. This book emphasizes that fact, taking a non-traditional approach. Topics include the projective plane, polarities and conic sections, affine geometry, projective metrics, and non-Euclidean and spatial geometry. Includes numerous figures. 1953 ...
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Continuous geometry.
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by
John Von Neumann
In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, ...
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The Vortex of Life: Nature's Patterns in Space and Time
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Lawrence Edwards
Building on his earlier research Lawrence Edwards examines the influence of celestial motion on the form of plants, embryos, and the heart. His statistical analysis of bud shapes, begun in the 1960s, leads him to suggest that all living forms are affected by patterns in time as well as space, with all of life and nature passing through vast cycles ...
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Algorithms in Invariant Theory
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Bernd Sturmfels
J. Kung and G.-C. Rota, in their 1984 paper, write: "Like the Arabian phoenix rising out of its ashes, the theory of invariants, pronounced dead at the turn of the century, is once again at the forefront of mathematics". The book of Sturmfels is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces ...
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Lectures in Projective Geometry
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Abraham Seidenberg
This volume serves as an extension of high school-level studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach. Includes an introductory chapter on projective geometry, then explores the relations between the basic theorems; higher-dimensional space; conics; coordinate systems and linear transformations; ...
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Linear Algebra and Projective Geometry
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by
Reinhold Baer
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. These theorems lead to a reconstruction of the geometry that constituted the ...
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Generalized Clifford Parallelism
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J A Tyrrell, J G Semple
The authors of this tract present a treatment of generalised Clifford parallelism within the framework of complex projective geometry. After a brief survey of the necessary preliminary material, the principal properties of systems of mutually Clifford parallel spaces are developed, centred round discussion of an extended form of the Hurwitz - ...
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An introduction to projective geometry
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by
L. N. G. Filon
AN INTRODUCTION TO PROJECTIVE GEOMETRY BY L. N. G. FILON, C. B. E., M. A., D. Sc., F. R. S. FELLOW OF AND PROFESSOR OF APPLIED MATHEMATICS AT UNIVERSITY COLLEGE, LONDON LATE VICE-CHANCELLOR OF THE UNIVERSITY OF LONDON. LONDON EDWARD ARNOLD CO. All rights reserved F F FIRST PUBLISHED IN 1908 SECOND EDITION . 1916 THIRD EDITION . 1921 FOURTH EDITION ...
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Geometric Algebra
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by
Emil Artin
This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group. Context is broadened by the inclusion of projective and symplectic ...
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Projective and Cayley-Klein Geometries
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by
Arkadij L Onishchik, Rolf Sulanke
Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebraic geometry and has many applications to differential geometry. The book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of ...
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Projective Geometry: From Foundations to Applications
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by
Albrecht Beutelspacher, Ute Rosenbaum
This book introduces the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader to understand and construct proofs and write clear mathematics. The authors achieve this by exploring set theory, combinatorics and number theory, which include many fundamental mathematical ideas. This ...
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Miniquaternion Geometry: An Introduction to the Study of Projective Planes
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by
T G Room, P B Kirkpatrick
This tract provides an introduction to four finite geometrical systems and to the theory of projective planes. Of the four geometries, one is based on a nine-element field and the other three can be constructed from the nine-element 'miniquaternion algebra', a simple system which has many though not all the properties of a field. The three systems ...
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Episodes in 19 & 20c Euclidean
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by
Ross Honsberger
Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of ...
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Projective Geometrics Over Finite Fields 2e
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by
James Hirschfeld
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 ...
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The use of projective geometry in computer graphics
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by
I Herman
This monograph derives a framework for analyzing projective transformations in graphics systems. It demonstrates how a mathematically precise description of the projective geometrical nature of a graphics system leads to new approaches which result in faster or more precise algorithms.
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Projective and Euclidean Geometry
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W T Fishback
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Linear and Projective Representations of Symmetric Groups
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by
Alexander Kleshchev
The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, ...
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Affine and Projective Geometry
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M K Bennett
This book discusses affine and projective geometry from three points of view -- algebraic, synthetic, and lattice theoretic -- and thus reveals how different areas of mathematics overlap.
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Vision Algorithms: Theory and Practice: International Workshop on Vision Algorithms Corfu, Greece, September 21-22, 1999 Proceedings
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by
Andrew Zisserman (Editor), Bill Triggs (Editor), Richard Szeliski (Editor)
This book constitutes the thoroughly refereed post-workshop proceedings of the International Workshop on Vision Algorithms held in Corfu, Greece in September 1999 in conjunction with ICCV'99. The 15 revised full papers presented were carefully reviewed and selected from 65 submissions; each paper is complemented by a brief transcription of the ...
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The Use of Stereographic Projection in Structural Geology
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by
F Coles Phillips
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Handbook of incidence geometry buildings and foundations
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by
Buekenhout
This handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and ...
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