Linear Algebra for Computational Sciences and Engineering

• Main Author: Neri, Ferrante (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Subjects: Computer science.; Computer science > Mathematics.; Matrix theory.; Algebra.; Applied mathematics.; Engineering mathematics.; Computer Science.; Mathematics of Computing.; Appl.Mathematics/Computational Methods of Engineering.; Linear and Multilinear Algebras, Matrix Theory.

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 unders...

Table of Contents:

• Basic Mathematical Thinking
• Matrices
• Systems of Linear Equations
• Geometric Vectors
• Complex Numbers and Polynomials
• An Introduction to Geometric Algebra and Conics
• An Overview of Algebraic Structures
• Vector Spaces
• Linear Mappings
• An Introduction to Computational Complexity
• Graph Theory
• Applied Linear Algebra: Electrical Networks
• A non-linear Algebra: An Introduction to Boolean Algebra
• Proofs of Theorems that Require Further Knowledge of Mathematics.