Introduction to Differential Geometry

A solid introduction to the methods of differential geometry and tensor calculus this volume is suitable for advanced undergraduate and graduate students of mathematics physics and engineering. Rather than a comprehensive account it offers an introduction to the essential ideas and methods of differential geometry.<br>Part 1 begins by employing vector methods to explore the classical theory of curves and surfaces. An introduction to the differential geometry of surfaces in the large provides students with ideas and techniques involved in global research. Part 2 introduces the concept of a tensor first in algebra then in calculus. It covers the basic theory of the absolute calculus and the fundamentals of Riemannian geometry. Worked examples and exercises appear throughout the text.