Central Library

Normal view MARC view ISBD view

Linear Algebra for Computational Sciences and Engineering [electronic resource] / by Ferrante Neri.

By: Neri, Ferrante [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2016Description: XXII, 464 p. 8 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319403410.Subject(s): 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 TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 004.0151 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
    average rating: 0.0 (0 votes)
No physical items for this record

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.

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.

There are no comments for this item.

Log in to your account to post a comment.