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Editorial Reviews
Review
"...an excellent and precisely written textbook that should be studied in depth by all would-be mathematicians." Mathematical Reviews
"There are many things to like about this book. It conveys the beauty and excitement of the subject, avoiding the dryness of many geometry texts. I was very pleased to see the classification of conics developed in Chapters 1 through 4...The effort put in on the problems and answers is very impressive...The language is clear, with little to fear from Anglicisms...presentation is clean and pleasing to the eye...it raised in me a desire to teach elementary geometry again, something I have not felt or done in years." MAA Online
Product Description
This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen program: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case they carefully explain key results and discuss the relationship among geometries. This richly illustrated and clearly written text includes full solutions to over 200 problems and is suitable both for undergraduate courses on geometry and as a resource for self study.
See all Editorial Reviews
"...an excellent and precisely written textbook that should be studied in depth by all would-be mathematicians." Mathematical Reviews
"There are many things to like about this book. It conveys the beauty and excitement of the subject, avoiding the dryness of many geometry texts. I was very pleased to see the classification of conics developed in Chapters 1 through 4...The effort put in on the problems and answers is very impressive...The language is clear, with little to fear from Anglicisms...presentation is clean and pleasing to the eye...it raised in me a desire to teach elementary geometry again, something I have not felt or done in years." MAA Online
Product Description
This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen program: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case they carefully explain key results and discuss the relationship among geometries. This richly illustrated and clearly written text includes full solutions to over 200 problems and is suitable both for undergraduate courses on geometry and as a resource for self study.
See all Editorial Reviews
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