∇TensorLabAN INTERACTIVE BOOK / TRANSPORT PHENOMENARead · Explore · Understand
THE INTERACTIVE BOOK / 01 · Vector calculus

See the mathematics flow.

Explore what a field does, one point at a time.

INTERACTIVE FIGUREChange a parameter to test the theory
VECTOR FIELD

Expansion + rotation

LIVE MODEL
Field directionClick the field to move the probex, y ∈ [−2, 2]
BUILD YOUR INTUITION

TRY THIS

TensorLab Idealized teaching models · Cartesian coordinates · SI units where indicated

Model notes & sources

All visualizations are two-dimensional sections. Derivatives are analytic. Field plots use dimensionless coordinates unless units are shown. Arrow lengths are compressed for readability; readouts show actual values.

Property tensors here are symmetric, positive-definite 2 × 2 conductivity tensors. This is a restricted model, not a general representation of all material tensors.

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