Geometry - General & Miscellaneous, Mathematics - Problems & Exercises
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Overview
This charming book introduces us to topics in hyperbolic geometry in a delightfully informal style.Journey into Geometries can be read at two levels. It can be studies as an informal introduction to post-Euclidean geometry, or it can serve as background material for university students.
The material presented in the text is extended by carefully selected problems. The background required is minimal, standard high school geometry, yet the serious student, aided by problems attached to each chapter, should acquire a deeper understanding of the subject.
Editorials
Buchbesprechungen Book Reviews
"This lively written exposition, full of wordplay, rhymes, and references to the Alice stories, makes entertaining reading on any level...it certainly will help those with inclination to the subject"Choice
"Anyone who is interested in mathematics can benefit from Sved's book, in that one is forced to reflect on prior conceptions of mathematics in general, and how it is presented to students... All prospective teachers of secondary mathematics should be required to study this book both in content and style"UMAP Journal
"[This book] would make a wonderful supplement to any synthetic geometry course. It takes the form of conversations between Alice, of Alice in Wonderland, Lewis Carroll (who in real life could never bring himself to accept non-Euclidean geometry), and a visitor from twentieth-century mathematics, Dr. Whatif. (His name emphasizes the modern approach of 'what if a line has these properties," instead of defining a line a la Euclid.) The style is wonderfully informal and charming. Nonetheless, the conversations have plenty of rigor; and the exercises at the end of each conversation give readers a chance to fill in all the details and expand the results...The book focuses on hyperbolic geometry, although the conversations approach the hyperbolic plane so gracefully that unsuspecting readers may not realize where they are going until they are there."Book Details
Published
July 24, 1997
Publisher
[Washington, D.C.] : Mathematical Association of America, c1991.
Pages
192
Format
Paperback
ISBN
9780883855003