A Course in Metric Geometry by Dmitri Burago and Yuri Burago
English | 2001-06-12 | ISBN: 0821821296 | PDF | 417 pages | 9 MB
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory.
• Does geometry bring wrinkles on your forehead?