Geometry: A Comprehensive Course

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Geometry: A Comprehensive Course by Dan Pedoe, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Dan Pedoe ISBN: 9780486131733
Publisher: Dover Publications Publication: April 2, 2013
Imprint: Dover Publications Language: English
Author: Dan Pedoe
ISBN: 9780486131733
Publisher: Dover Publications
Publication: April 2, 2013
Imprint: Dover Publications
Language: English

"A lucid and masterly survey." — Mathematics Gazette

Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.

Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.

In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

"A lucid and masterly survey." — Mathematics Gazette

Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.

Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.

In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding.

More books from Dover Publications

Cover of the book The Awakening of Faith by Dan Pedoe
Cover of the book Maskelyne's Book of Magic by Dan Pedoe
Cover of the book The Story of the Treasure Seekers by Dan Pedoe
Cover of the book The Book on Games of Chance by Dan Pedoe
Cover of the book Topological Vector Spaces, Distributions and Kernels by Dan Pedoe
Cover of the book Moll Flanders by Dan Pedoe
Cover of the book Greek Astronomy by Dan Pedoe
Cover of the book Analysis in Euclidean Space by Dan Pedoe
Cover of the book Eighteenth-Century French Fashion Plates in Full Color by Dan Pedoe
Cover of the book The Complete Book of Stencilcraft by Dan Pedoe
Cover of the book The Civil War by Dan Pedoe
Cover of the book Siddhartha by Dan Pedoe
Cover of the book Stars of the American Musical Theater in Historic Photographs by Dan Pedoe
Cover of the book Personal Recollections of Joan of Arc by Dan Pedoe
Cover of the book Popular Tales from Norse Mythology by Dan Pedoe
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy