# Linear Algebra for Computational Sciences and Engineering

• FerranteĀ Neri
Textbook

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

1. Front Matter
Pages 1-1
2. Ferrante Neri
Pages 3-19
3. Ferrante Neri
Pages 21-74
4. Ferrante Neri
Pages 75-132
5. Ferrante Neri
Pages 133-167
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Pages 169-201
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Pages 203-249
3. ### Elements of Linear Algebra

1. Front Matter
Pages 251-251
2. Ferrante Neri
Pages 253-279
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Pages 281-323
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Pages 325-338
5. Ferrante Neri
Pages 339-417
6. Ferrante Neri
Pages 419-432
7. Ferrante Neri
Pages 433-498
8. Ferrante Neri
Pages 499-518
4. Back Matter
Pages 519-574

### 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.School of Computer ScienceUniversity of NottinghamNottinghamUK