Tensor Calculus and Differential Geometry for Engineers

Peter Wriggers is emeritus professor at the Institute of Continuum Mechanics of Leibniz University Hannover, Germany. He served as president of GAMM (German Association for Computational Mechanics), president of GACM (Society for Applied Mathematics and Mechanics) and vice-president of IACM (International Association for Computational Mechanics). He currently acts as Editor-in-Chief of the journals “Computational Mechanics” and “Computational Particle Mechanics”. He was awarded the Fellowship of IACM, and received the “Computational Mechanics Award” and the “IACM Award” of IACM, and the “Euler Medal” of ECCOMAS.

• Algebra of Vectors.- Algebra of Tensors.- Algebra of Higher-Order Tensors.- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors.- Representation of Tensorial Variables in Curvilinear Coordinates.- Differentiation of Tensor Functions and Representation Theorems.- Gradient and Related Operators.- Integral Theorems and Differential Forms.- Differential Geometry of Surfaces and Curves.

“This massive book is highly recommended to electric/mechanics/control graduate students and engineers, applied mathematicians and any other professionals or scientists interested in study, research and application of tensor calculus.” (Mihail Voicu, zbMATH 1548.53001, 2024)