Title
Geometry: A Comprehensive Course (Dover Books on Mathematics),Used
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A lucid and masterly survey.' Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this selfcontained, wellwritten, 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 ninepoint 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 GrassmannPluecker 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.
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- Q: What is the main focus of 'Geometry: A Comprehensive Course'? A: The book provides a detailed introduction to the scope and methods of elementary geometry, covering topics typically included in undergraduate mathematics courses.
- Q: Who is the author of this geometry book? A: The author is Dan Pedoe, a well-known teacher and geometer.
- Q: How many pages does the book have? A: The book contains 464 pages.
- Q: What topics are covered in this geometry textbook? A: It covers vectors, projective geometry, mappings of the Euclidean plane, and includes many worked examples and over 500 exercises.
- Q: Is this book suitable for beginners in geometry? A: Yes, the book is designed to be a self-contained introduction, making it accessible for beginners as well as useful for more advanced students.
- Q: What type of binding does this book have? A: The book is available in paperback binding.
- Q: When was 'Geometry: A Comprehensive Course' published? A: The book was published on December 1, 1988.
- Q: Does the book include exercises for practice? A: Yes, it includes over 500 exercises to help test and improve geometrical understanding.
- Q: Are there any appendices in the book? A: Yes, there are three appendices that cover Euclidean definitions, Grassmann-Pluecker coordinates, and circular transformations.
- Q: What is the condition of the book available for purchase? A: The book is in new condition.