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Linear Algebra for Computational Sciences and Engineering

  • FerranteĀ Neri

Table of contents

  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
  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

About this book

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
  • Buy this book on publisher's site
Industry Sectors
Electronics