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

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...

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Bibliographic Details
Main Author: Mühlich, Uwe
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Solid Mechanics and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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