Linear Algebra for Computational Sciences and Engineering
Authors: Ferrante Neri
ISBN-10: 303021320X
ISBN-13: 9783030213206
Edition 版次: 2nd ed. 2019
Publication Date 出版日期: 2019-07-27
Print Length 页数: 574 pages
9
Book Description
By finelybook
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.
Part l.Foundations of Linear Algebra
1.Basic Mathematical Thinking
2.Matrices
3.Systems of Linear Equations
4.Geometric Vectors
5.Complex Numbers and Polynomials
6.An Introduction to Geometric Algebra and Conics
Part ll.Elements of Linear Algebra
7.An Overview on Algebraic Structures
8.Vector Spaces
9.An Introduction to Inner Product Spaces: Euclidean Spaces
10.Linear Mappings
11.An Introduction to Computational Complexity
12.Graph Theory
13.Applied Linear Algebra: Electrical Networks
