Differential Geometry on Curves and Surfaces in E3

This book is intended to suit mathematics courses for post-graduate students. It has been written by an author with 25 years experience of lectures on differential geometry, and is therefore designed to help the reader overcome the difficulties in understanding the underlying concepts of the subject, The book will also be useful for introducing the methodology of differential geometry to research students in associated disciplines; physics, engineering, biosciences and economics. The book is divided into 5 chapters - curvilinear co-ordinates, geometry of space curves, intrinsic geometry of a surface, fundamental formulate of a ssurface, curves on a surface -- and each chapter contains numerous examples which are either worked out or given as an exercise in order to facilitate and understanding. Finally the book concludes with a brief history of differential geometry. This book is an excellent text for post-graduate maths courses, and will also be of interest to all mathematicians.