Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

• Main Author: Mühlich, Uwe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Solid Mechanics and Its Applications, 230
• Subjects: Engineering.; Mathematical physics.; Physics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Classical and Continuum Physics.; Mathematical Applications in the Physical Sciences.; Mathematical Methods in Physics.

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the sub...

Table of Contents:

• 1 Introduction
• 2 Notes on point set topology
• 3 The finite dimensional real vector space
• 4 Tensor Algebra
• 5 Affine space and euclidean space
• 6 Tensor analysis in euclidean space
• 7 A primer on smooth manifolds
• B Further Reading.