The branch of mathematics which is concerned with questions of size, shape, relative position of objects and the properties of space is known as geometry. Some of the important concepts in geometry are axioms, points, angles, planes and curves. There are several divisions within geometry such as Euclidean geometry, non-Euclidean geometry, differential geometry, topology, and algebraic geometry. Geometry has applications in other branches of mathematics as well as the fields of physics, art and architecture. It relates geometric curves to algebraic equations, thereby applying algebraic methods to geometric questions. The topics covered in this extensive book deal with the core aspects of geometry. It is a vital tool for all researching and studying this field. This book will serve as a valuable source of reference for graduate and postgraduate students.