MathTensor: A System for Doing Tensor Analysis by Computer
MathTensor(tm) is an exciting software program used with Mathematica® for doing tensor analysis and working with differential forms. A guide to the software, this book describes the program's commands and functions and shows how to apply them to problems in electromagnetism, relativity, differential geometry, and elasticity. For those who are learning about the subject, it includes concise introductions to tensors and differential forms. You will find numerous computer-generated examples of actual input and output throughout the book, as well as many helpful hints for avoiding pitfalls and making full use of the program.
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A Brief Look at MathTensor
An Introduction to Tensors and Differential Forms
Symmetries Operations and Rules
7 other sections not shown
AddlndexTypes affine connections applied ApplyRules assigned PermWeight::def calculated Canonicalize center-of-momentum frame codifferential command components CompSimpRules contravariant coordinate basis coordinate system CoordRep corresponding Cos[theta covariant derivatives curvature tensors Def ineTensor defined deformed denoted differential forms Dimension dphi dummy indices electromagnetic Epsilon equation example expr exterior derivative exterior product False otherwise frame FtoC function gamma uSp gives In[l integer invariant involving Kdelta Kronecker delta la,lb Lie derivative Lorentz transformation lower indices Math MathTensor MathTensor session matrix Maxwell Maxwell's equations MaxwellF Maxwellk3 metric tensor MetricgFlag names Object ordinary derivatives p-form pair of indices particle PermWeight::sym regular indices replace returns True Ricci tensor Riemann tensor RuleUnique scalar Simplify Sin[theta space spacetime stress tensor surface symbolic symmetries tensor-valued theta transformation rules ty ty ty type-a indices types of indices undeformed upper indices values Weyl tensor zero