# Linear Algebra for Computational Sciences and Engineering

• FerranteĀ Neri
Book

1. Front Matter
Pages i-xxii
2. ### Foundations of Linear Algebra

1. Front Matter
Pages 1-1
2. Ferrante Neri
Pages 3-13
3. Ferrante Neri
Pages 15-39
4. Ferrante Neri
Pages 41-96
5. Ferrante Neri
Pages 97-129
6. Ferrante Neri
Pages 131-158
7. Ferrante Neri
Pages 159-207
3. ### Elements of Linear Algebra

1. Front Matter
Pages 209-209
2. Ferrante Neri
Pages 211-231
3. Ferrante Neri
Pages 233-281
4. Ferrante Neri
Pages 283-347
5. Ferrante Neri
Pages 349-362
6. Ferrante Neri
Pages 363-430
7. Ferrante Neri
Pages 431-449
4. Back Matter
Pages 451-464

### Introduction

This book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an understanding of theoretical concepts of mathematics in order to be able to propose research advances and innovative solutions, every concept is thoroughly introduced and is accompanied by its informal interpretation. Furthermore, most of the theorems included are first rigorously proved and then shown in practice by a numerical example. When appropriate, topics are presented also by means of pseudocodes, thus highlighting the computer implementation of algebraic theory.

It is structured to be accessible to everybody, from students of pure mathematics who are approaching algebra for the first time to researchers and graduate students in applied sciences who need a theoretical manual of algebra to successfully perform their research. Most importantly, this book is designed to be ideal for both theoretical and practical minds and to offer to both alternative and complementary perspectives to study and understand linear algebra.

### Keywords

Boolean algebra Linear mappings Set theory Matrices Systems of linear equations Vectors Complex numbers Polynomials Geometry Conics Vector spaces Graph theory Electrical networks Electrical circuits

#### Authors and affiliations

• FerranteĀ Neri
• 1
1. 1.Centre for Computational IntelligenceDe Montfort UniversityLeicesterUnited Kingdom

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-319-40341-0
• Copyright Information Springer International Publishing Switzerland 2016
• Publisher Name Springer, Cham
• eBook Packages Computer Science
• Print ISBN 978-3-319-40339-7
• Online ISBN 978-3-319-40341-0