Lapalissiano
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Equivalent Definitions of One-forms
Provides an quivalent definition of one-forms as sections of the cotangent bundle or as functions over the space of vector fields to the space \(\mathcal{C}^\infty(M)\) of continuous maps over the manifold.
Tensors are not matrices
Explanation on index notation and on why tensors are more general than matrices.
About the Levi-Civita symbol
We prove the identities involving the Levi-Civita symbol and the Kronecker delta.
Canonical Transformations in Classical Mechanics
Rigorous description and definition of Canonical Transformations in Classical Mechanics.