This book develops in a systematic way the various regularity conditions imposed on the faces and solid angles of a convex polyhedron, which give rise to the well known sets of solids such as the five bodies of Plato (the regular polyhedra), the thirteen bodies of Archimedes (the semi-regular polyhedra), the eight deltahedra, the ninety-two regular faced polyhedra, etc. Groups of rotations/reflections of the five regular solids, as also their metrical properties ...
Surprises and Counterexamples in Real Function Theory
This book presents a variety of intriguing, surprising and appealing topics, and nonroutine proofs of several theorems in real function theory. It is a reference book to which one can turn for finding answers to curiosities that arise while studying or teaching analysis.