Read While You Wait - Get immediate ebook access, if available*, when you order a print book

cover

Introduction to Linear and Matrix Algebra

Authors: Johnston, Nathaniel

  • Motivates the study of linear algebra by exploring the interplay between algebra and geometry
  • Engages readers with a visual approach that uses color to enhance both content and learning
  • Features a wide selection of theoretical and applied topics to complement the core material
  • Incorporates exercises of all levels, including many designed for computer software
  • Offers corresponding online homework sets through WeBWorK
see more benefits

Buy this book

eBook 46,00 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: November 24, 2020
  • ISBN 978-3-030-52811-9
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 57,19 €
price for Spain (gross)
About this Textbook

This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra

Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software.

Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.

About the authors

Nathaniel Johnston is an Associate Professor of Mathematics at Mount Allison University in New Brunswick, Canada. His research makes use of linear algebra, matrix analysis, and convex optimization to tackle questions related to the theory of quantum entanglement. His companion volume, Advanced Linear and Matrix Algebra, is also published by Springer.

Buy this book

eBook 46,00 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: November 24, 2020
  • ISBN 978-3-030-52811-9
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 57,19 €
price for Spain (gross)
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Introduction to Linear and Matrix Algebra
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-52811-9
DOI
10.1007/978-3-030-52811-9
Hardcover ISBN
978-3-030-52810-2
Edition Number
1
Number of Pages
XV, 483
Number of Illustrations
6 b/w illustrations, 198 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.