What Is a Tensor? The mathematical point of view.
Jan 26, 2025 · The tensor product, however, must not be confused with the direct sum which is of dimension as a basis would be , whereas in a tensor product , all basis vectors are linearly …
All About the Einstein Field Equations - Physics Forums
Feb 26, 2024 · The Einstein Field Equations (EFE) are a set of ten interrelated differential equations that form the core of Einstein's general theory of relativity. These equations describe …
Introduction to Tensor Calculus and Continuum Mechanics
Nov 25, 2005 · This discussion focuses on the complexities of Tensor Calculus and its applications in Continuum Mechanics, emphasizing the need for a solid understanding of …
What is a Tensor? | Math Definition & Use in Algebra
Aug 16, 2011 · The tensor product, denoted as A⊗B, serves as a linear approximation of bilinear maps between vector spaces and is essential in various mathematical contexts, including the …
Verifying Tensor Math: Is Step 0 True for Any Tensor A?
Jun 14, 2011 · Step 0 of the tensor math discussion is incorrect; it states that any tensor A can be expressed as a multiple of the metric tensor, which is not valid. The argument highlights that if …
Taking the Trace of a Tensor Product - Physics Forums
Nov 9, 2008 · The trace of a tensor product is not simply the product of the traces of the individual tensors. Specifically, for tensors A and B, the relationship is defined as Tr (A ⊗ B) = Tr (A)Tr …
Good Books on Tensors: Recommendations for Undergraduates
May 11, 2017 · This discussion centers on recommended books for understanding tensors at the undergraduate level. Key suggestions include "Tensor Calculus" by J.L. Synge and A. Schild, …
What is a good textbook to start learning tensors?
Jul 15, 2015 · The discussion focuses on recommended textbooks for learning tensors, essential for understanding particle physics and general relativity. Key recommendations include …
What Mathematical Tool Measures the Curvature of Space?
Apr 10, 2005 · The discussion centers on the mathematical tools used to measure the curvature of space, specifically tensor analysis and its components like the Riemann-Christoffel tensor. It …
What Are the Best Books for Mastering Tensor Calculus?
Jul 9, 2014 · The discussion centers on the best resources for mastering tensor calculus, particularly for undergraduate mathematics students. Participants recommend "A Student's …