By J Scott Carter
This brilliant publication of images illustrates the basic recommendations of geometric topology in a fashion that's very pleasant to the reader. the 1st bankruptcy discusses the that means of floor and house and offers the category of orientable surfaces. within the moment bankruptcy we're brought to the Möbius band and surfaces that may be made from this non-orientable piece of material. In bankruptcy three, we see how curves can slot in surfaces and the way surfaces can healthy into areas with those curves on their boundary. easy functions to knot conception are mentioned and 4-dimensional area is introduced.In bankruptcy four we know about a few three-dimensional areas and surfaces that sit down within them. those surfaces aid us think the constructions of the bigger space.Chapter five is totally new! It comprises contemporary result of Cromwell, Izumiya and Marar. this type of effects is a formulation referring to the rank of a floor to the variety of triple issues. the opposite significant result's a set of examples of surfaces in 3-space that experience one triple element and six department issues. those are appealing generalizations of the Steiner Roman surface.Chapter 6 reports the motion picture approach for interpreting surfaces in four-dimensional house. numerous video clips of the Klein bottle are provided, and the Carter-Saito motion picture stream theorem is defined. the writer indicates us the best way to flip the 2-sphere within out by way of those motion picture strikes and this representation by myself is easily well worth the cost of the book!In the final bankruptcy better dimensional areas are tested from an simple aspect of view.This is a consultant booklet to a large choice of themes. will probably be of worth to a person who desires to comprehend the topic when it comes to examples. Undergraduates, starting graduate scholars, and non-professionals will cash in on interpreting the booklet and from simply the images.