Linear Algebra for Computational Sciences and Engineering

Ferrante Neri received a Master's degree and a PhD in Electrical Engineering from the Technical University of Bari, Italy, in 2002 and 2007 respectively. In 2007, he also received a PhD in Scientific Computing and Optimization from University of Jyväskylä, Finland. He was appointed Assistant Professor at the Department of Mathematical Information Technology at the University of Jyväskylä, Finland in 2007, and in 2009 as a Research Fellow with Academy of Finland. Neri moved to De Montfort University, United Kingdom in 2012, where he was appointed Reader in Computational Intelligence. Since 2013, he is Full Professor of Computational Intelligence Optimisation at De Montfort University, United Kingdom. He is also Visiting Professor at the University of Jyväskylä, Finland. Currently, he teaches linear algebra and discrete mathematics at De Montfort University. His research interests include algorithmics, metaheuristic optimisation, scalability in optimisation and large scale problems.

Basic Mathematical Thinking.- Matrices.- Systems of Linear Equations.- Geometric Vectors.- Complex Numbers and Polynomials.- An Introduction to Geometric Algebra and Conics.- An Overview of Algebraic Structures.- Vector Spaces.- Linear Mappings.- An Introduction to Computational Complexity.- Graph Theory.- Applied Linear Algebra: Electrical Networks.- A non-linear Algebra: An Introduction to Boolean Algebra.- Proofs of Theorems that Require Further Knowledge of Mathematics.