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计算科学与工程线性代数-Linear Algebra for Computational Sciences and Engineering

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上传于 2020-03-02 35次下载 5086次围观
文件编号:6405
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标题(title):Linear Algebra for Computational Sciences and Engineering
计算科学与工程线性代数
作者(author):Ferrante Neri
出版社(publisher):Springer International Publishing
大小(size):8 MB (8499022 bytes)
格式(extension):pdf
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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.


Table of contents :
Front Matter ....Pages i-xxv
Front Matter ....Pages 1-1
Basic Mathematical Thinking (Ferrante Neri)....Pages 3-19
Matrices (Ferrante Neri)....Pages 21-74
Systems of Linear Equations (Ferrante Neri)....Pages 75-132
Geometric Vectors (Ferrante Neri)....Pages 133-167
Complex Numbers and Polynomials (Ferrante Neri)....Pages 169-201
An Introduction to Geometric Algebra and Conics (Ferrante Neri)....Pages 203-249
Front Matter ....Pages 251-251
An Overview on Algebraic Structures (Ferrante Neri)....Pages 253-279
Vector Spaces (Ferrante Neri)....Pages 281-323
An Introduction to Inner Product Spaces: Euclidean Spaces (Ferrante Neri)....Pages 325-338
Linear Mappings (Ferrante Neri)....Pages 339-417
An Introduction to Computational Complexity (Ferrante Neri)....Pages 419-432
Graph Theory (Ferrante Neri)....Pages 433-498
Applied Linear Algebra: Electrical Networks (Ferrante Neri)....Pages 499-518
Back Matter ....Pages 519-574
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