We present a tensor description of Euclidean spaces that emphasizes the use of geometric vectors which leads to greater geometric insight and a higher degree of organization in analytical expressions.

These notes were written based on and using excerpts from the book Multivariable and Vector Calculus'' by David Santos and includes excerpts from Vector Calculus'' by Michael Corral, from Linear ...

Book Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the ...

Vector calculus is a fascinating subject that allows us to understand dynamic behaviour in 3D space. It is a beautiful subject in its own right, with many deep and elegant results. It is also a ...

Abstract: Sir Isaac Newton, one of the greatest scientists and mathematicians of all time, introduced the notion of a vector to define the existence of gravitational forces, the motion of the planets ...

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