Introduction to Projective Geometry

Introduction to Projective Geometry
Author: C. R. Wylie
Publisher: Courier Corporation
Total Pages: 578
Release: 2011-09-12
Genre: Mathematics
ISBN: 0486141705

This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.

Projective Geometry

Projective Geometry
Author: T. Ewan Faulkner
Publisher: Courier Corporation
Total Pages: 148
Release: 2013-02-20
Genre: Mathematics
ISBN: 0486154890

Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.

Linear Algebra and Projective Geometry

Linear Algebra and Projective Geometry
Author: Reinhold Baer
Publisher: Courier Corporation
Total Pages: 338
Release: 2012-06-11
Genre: Mathematics
ISBN: 0486154661

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. 1952 edition.

Projective Geometry

Projective Geometry
Author: Albrecht Beutelspacher
Publisher: Cambridge University Press
Total Pages: 272
Release: 1998-01-29
Genre: Mathematics
ISBN: 9780521483643

Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.

Perspectives on Projective Geometry

Perspectives on Projective Geometry
Author: Jürgen Richter-Gebert
Publisher: Springer Science & Business Media
Total Pages: 573
Release: 2011-02-04
Genre: Mathematics
ISBN: 3642172865

Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.

Analytic Projective Geometry

Analytic Projective Geometry
Author: John Bamberg
Publisher: Cambridge University Press
Total Pages: 475
Release: 2023-10-31
Genre: Mathematics
ISBN: 1009260596

This book introduces students to projective geometry from an analytic perspective, mixing recent results from the past 100 years with the history of the field in one of the most comprehensive surveys of the subject. The subject is taught conceptually, with worked examples and diagrams to aid in understanding.