Linear Algebra with Applications

by Keith Nicholson

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Book Description

Linear Algebra with Applications by W. Keith Nicholson, traditionally published for many years is now being released as an open educational resource.

Overall, the aim of the book is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.

The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1 - 4 contain a one-semester course for beginners whereas Chapters 5 - 9 contain a second semester course. The textbook is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).

This open book is licensed under a Creative Commons License (CC BY-NC-SA). You can download Linear Algebra with Applications ebook for free in PDF format (5.4 MB).

Table of Contents

Chapter 1
Systems of Linear Equations
Chapter 2
Matrix Algebra
Chapter 3
Determinants and Diagonalization
Chapter 4
Vector Geometry
Chapter 5
Vector Space Rn
Chapter 6
Vector Spaces
Chapter 7
Linear Transformations
Chapter 8
Orthogonality
Chapter 9
Change of Basis
Chapter 10
Inner Product Spaces
Chapter 11
Canonical Forms
Appendix A
Complex Numbers
Appendix B
Proofs
Appendix C
Mathematical Induction
Appendix D
Polynomials
 

Book Details

Publisher
Lyryx
Published
2019
Pages
698
Edition
1
Language
English
PDF Size
5.4 MB
License
CC BY-NC-SA

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