An Elementary Course in Synthetic Projective Geometry
Author: Derrick Norman Lehmer
Publisher:
Published: 1917
Total Pages: 152
ISBN-13:
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Author: Derrick Norman Lehmer
Publisher:
Published: 1917
Total Pages: 152
ISBN-13:
DOWNLOAD EBOOKAuthor: George Bruce Halsted
Publisher:
Published: 1896
Total Pages: 108
ISBN-13:
DOWNLOAD EBOOKAuthor: Derrick Norman Lehmer
Publisher:
Published: 1917
Total Pages: 146
ISBN-13:
DOWNLOAD EBOOKAuthor: Lehmer Derrick Norman
Publisher:
Published: 1901
Total Pages:
ISBN-13: 9780259623984
DOWNLOAD EBOOKAuthor: Albrecht Beutelspacher
Publisher: Cambridge University Press
Published: 1998-01-29
Total Pages: 272
ISBN-13: 9780521483643
DOWNLOAD EBOOKProjective 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 Bruce Halsted
Publisher:
Published: 1990
Total Pages: 62
ISBN-13:
DOWNLOAD EBOOKAuthor: H.S.M. Coxeter
Publisher: Springer Science & Business Media
Published: 2003-10-09
Total Pages: 180
ISBN-13: 9780387406237
DOWNLOAD EBOOKIn 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 and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.
Author: Jürgen Richter-Gebert
Publisher: Springer Science & Business Media
Published: 2011-02-04
Total Pages: 573
ISBN-13: 3642172865
DOWNLOAD EBOOKProjective 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: M. K. Bennett
Publisher: John Wiley & Sons
Published: 2011-02-14
Total Pages: 251
ISBN-13: 1118030826
DOWNLOAD EBOOKAn important new perspective on AFFINE AND PROJECTIVEGEOMETRY This innovative book treats math majors and math education studentsto a fresh look at affine and projective geometry from algebraic,synthetic, and lattice theoretic points of view. Affine and Projective Geometry comes complete with ninetyillustrations, and numerous examples and exercises, coveringmaterial for two semesters of upper-level undergraduatemathematics. The first part of the book deals with the correlationbetween synthetic geometry and linear algebra. In the second part,geometry is used to introduce lattice theory, and the bookculminates with the fundamental theorem of projectivegeometry. While emphasizing affine geometry and its basis in Euclideanconcepts, the book: * Builds an appreciation of the geometric nature of linear algebra * Expands students' understanding of abstract algebra with itsnontraditional, geometry-driven approach * Demonstrates how one branch of mathematics can be used to provetheorems in another * Provides opportunities for further investigation of mathematicsby various means, including historical references at the ends ofchapters Throughout, the text explores geometry's correlation to algebra inways that are meant to foster inquiry and develop mathematicalinsights whether or not one has a background in algebra. Theinsight offered is particularly important for prospective secondaryteachers who must major in the subject they teach to fulfill thelicensing requirements of many states. Affine and ProjectiveGeometry's broad scope and its communicative tone make it an idealchoice for all students and professionals who would like to furthertheir understanding of things mathematical.
Author: Arnold Emch
Publisher:
Published: 1905
Total Pages: 281
ISBN-13:
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