Geometry: A Comprehensive Course
(eBook)

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Published
Dover Publications, 2013.
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eBook
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Available Online

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Language
English
ISBN
9780486131733

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Citations

APA Citation, 7th Edition (style guide)

Dan Pedoe., & Dan Pedoe|AUTHOR. (2013). Geometry: A Comprehensive Course . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Dan Pedoe and Dan Pedoe|AUTHOR. 2013. Geometry: A Comprehensive Course. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Dan Pedoe and Dan Pedoe|AUTHOR. Geometry: A Comprehensive Course Dover Publications, 2013.

MLA Citation, 9th Edition (style guide)

Dan Pedoe, and Dan Pedoe|AUTHOR. Geometry: A Comprehensive Course Dover Publications, 2013.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID622403e2-9ff7-0d37-7353-dc5dd4d21ffe-eng
Full titlegeometry a comprehensive course
Authorpedoe dan
Grouping Categorybook
Last Update2022-10-18 20:50:33PM
Last Indexed2024-03-28 03:28:09AM

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First LoadedAug 16, 2023
Last UsedAug 16, 2023

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    [synopsis] => 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.
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