Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) - Hardcover

Book 100 of 170: Undergraduate Texts in Mathematics

Singer, David A.

 
9780387983066: Geometry: Plane and Fancy (Undergraduate Texts in Mathematics)
Hardcover
ISBN 10: 0387983066 ISBN 13: 9780387983066
Publisher: Springer, 1998

Synopsis

GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.

"synopsis" may belong to another edition of this title.

Synopsis

GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate lead to interesting and different patterns and symmetries. In the process of examining geometric objects, the author incorporates the algebra of complex (and hypercomplex) numbers, some graph theory, and some topology. Nevertheless, the book has only mild prerequisites. Readers are assumed to have had a course in Euclidean geometry (including some analytic geometry and some algebra) at the high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singer's lively exposition and off-beat approach will greatly appeal both to students and mathematicians. Interesting problems are nicely scattered throughout the text. The contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1998
Language
English
ISBN 10 
0387983066
ISBN 13 
9780387983066
Binding
Hardcover
Number of pages
172

Other Popular Editions of the Same Title

9781461268376: Geometry: Plane and Fancy (Undergraduate Texts in Mathematics)

Featured Edition

ISBN 10:  1461268370 ISBN 13:  9781461268376
Publisher: Springer, 2012
Softcover