Geometrie Projective
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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.
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.
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.
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.
Author | : George Ballard Mathews |
Publisher | : |
Total Pages | : 368 |
Release | : 1914 |
Genre | : Geometry, Projective |
ISBN | : |
Author | : Luigi Cremona |
Publisher | : |
Total Pages | : 434 |
Release | : 1885 |
Genre | : Geometry, Projective |
ISBN | : |
Author | : Paolo Bussotti |
Publisher | : Springer Nature |
Total Pages | : 576 |
Release | : |
Genre | : |
ISBN | : 3031542665 |
Author | : Arnold Emch |
Publisher | : |
Total Pages | : 316 |
Release | : 1905 |
Genre | : Geometry, Analytic |
ISBN | : |
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.
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.