Linear Algebra for Computational Sciences and Engineering

Beschreibung

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.

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.

Covers all aspects of linear algebra from the perspective of computational science and engineering
Provides both a technical approach and an informal interpretation of mathematics
Includes examples with definitions and theorems
Presents a chapter where the study of an electrical network is shown as an algebraic exercise

Autor*in

Ferrante Neri

Themen in »Linear Algebra for Computational Sciences and Engineering«

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

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“In this book, Ferrante Neri elaborates on this algebraic background, providing a very good starting point for undergraduate students who wish to gain a basic understanding of the theories behind the most exciting parts of contemporary information technology (IT) technologies. … As Neri’s work is a self-contained textbook, everything is explained from scratch and all of the chapters finish with exercises to test the reader’s understanding of just the presented material.” (Piotr Cholda, Computing Reviews, May, 2017)

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