(DOWNLOAD) "An Introduction to Differential Geometry" by T. J. Willmore ~ eBook PDF Kindle ePub Free

May 25, 2021

eBook details

Title: An Introduction to Differential Geometry
Author : T. J. Willmore
Release Date : January 13, 2013
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 26685 KB

Description

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.
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.