6533b7d0fe1ef96bd125b668

RESEARCH PRODUCT

Applied Linear Algebra: Electrical Networks

Ferrante NeriFerrante Neri

subject

AlgebraMathematical theorySet (abstract data type)lawElectrical networkCore (graph theory)Linear algebraConnection (algebraic framework)Algebraic numberRepresentation (mathematics)Mathematicslaw.invention

description

This chapter shows how mathematical theory is not an abstract subject which has no connection with the real world. On the contrary, this entire book is written by stating that mathematics in general, and algebra in this case, is an integrating part of every day real life and that the professional life of computational scientists and engineers requires a solid mathematical background. In order to show how the contents of the previous chapters have an immediate technical application, the last chapter of this book describes a core engineering subject, i.e. electrical networks, as an algebraic exercise. Furthermore, this chapter shows how the combination of the algebraic topics give a natural representation of a set of interacting physical phenomena.

https://doi.org/10.1007/978-3-319-40341-0_12