This text for advanced undergraduates emphasizes the logical connections of the subject. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite.We wish to show that s and \ZQ\ are nearly equal, for points P near Z. Lemma 2: In the above notation, \ZQ\ = s(l + e), (4.9-2) where Ap is a quantity that -+ 0 as s a ar 0. Proof ... We now use the results of Lemma 1, and we shall repeatedly use expressions of the form 1 + e, where e may represent different ... Let V be a plane in H3. Recall that the geometry in V is identical with that of the hyperbolic plane H2.
|Title||:||Introduction to Hyperbolic Geometry|
|Author||:||Arlan Ramsay, Robert D. Richtmyer|
|Publisher||:||Springer Science & Business Media - 1995-12-16|