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Linear Algebra for Computational Sciences and Engineering

  • FerranteĀ Neri
Textbook

Table of contents

  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
    6. Ferrante Neri
      Pages 169-201
  3. Elements of Linear Algebra

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

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.School of Computer ScienceUniversity of NottinghamNottinghamUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-21321-3
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-030-21320-6
  • Online ISBN 978-3-030-21321-3
  • Buy this book on publisher's site