This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.
This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.
Charles Woolverton was in Burlington County, New Jersey, by 1693, and appears in records there and in Hunterdon County until 1727. David Macdonald and Nancy McAdams have traced Charles' descendants to the seventh generation, by which time they had spread out to many parts of the country ... This is a beautifully crafted genealogy. The format is easy to follow, and the documentation is impressive. The compilers have carefully explained their handling of problem areas, including the need to refute longstanding family lore about the immigrant ... This is an exemplary work, which descendants will certainly value and other genealogists would be well advised to study. -- Excerpts from a review published in the April 2003 issue of The New York Genealogical and Biographical Record and reprinted with permission of the author, Harry Macy, Jr. and The New York Genealogical and Biographical Society.
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