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You are not alone. See THE VECTOR CALCULUS GAP: Mathematics not= Physics
by Tevian Dray and Corinne A. Manogue (24 September 1998)
(http://www.math.oregonstate.edu/bridge/papers/calculus.pdf)
BRIDGING THE VECTOR (CALCULUS) GAP by TEVIAN DRAY and CORINNE A. MANOGUE
(http://www.physics.orst.edu/bridge/papers/pathways.pdf)
Bridging the Vector Calculus Gap Workshop (http://www.math.oregonstate.edu/bridge/)
Physicists and Mathematicians often use mathematics in different ways and have different viewpoints on what some mathematical symbol means and how it is to be interpreted. E.g. Mathematicians think of vectors in terms of tuples of numbers in a linear space while physicists think of something with a magnitude and a direction. Sometimes physicists create their own mathematical objects to better understand something and occasionally they muddy the water by splicing two different formalisms together such as in the use of the Pauli matrices in quantum mechanics.
by Tevian Dray and Corinne A. Manogue (24 September 1998)
(http://www.math.oregonstate.edu/bridge/papers/calculus.pdf)
BRIDGING THE VECTOR (CALCULUS) GAP by TEVIAN DRAY and CORINNE A. MANOGUE
(http://www.physics.orst.edu/bridge/papers/pathways.pdf)
Bridging the Vector Calculus Gap Workshop (http://www.math.oregonstate.edu/bridge/)
Physicists and Mathematicians often use mathematics in different ways and have different viewpoints on what some mathematical symbol means and how it is to be interpreted. E.g. Mathematicians think of vectors in terms of tuples of numbers in a linear space while physicists think of something with a magnitude and a direction. Sometimes physicists create their own mathematical objects to better understand something and occasionally they muddy the water by splicing two different formalisms together such as in the use of the Pauli matrices in quantum mechanics.