Introduction to linear and matrix algebra / Nathaniel Johnston.
Johnston, Nathaniel, author.
2021
QA184.2 .J64 2021
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Introduction to linear and matrix algebra / Nathaniel Johnston.
Author Johnston, Nathaniel, author.
ISBN 9783030528119 (electronic bk.)
3030528111 (electronic bk.)
9783030528126 (print)
303052812X
9783030528133 (print)
3030528138
9783030528102
3030528103
DOI https://doi.org/10.1007/978-3-030-52811-9
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Other Standard Identifiers 10.1007/978-3-030-52811-9 doi
Call Number QA184.2 .J64 2021
Dewey Decimal Classification 512/.5
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 9, 2021).
Available in Other Form Introduction to linear and matrix algebra.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Chapter 1: Vectors and Geometry
Chapter 2: Linear systems and Subspaces
Chapter 3: Unraveling Matrices
Appendix A: Mathematical Preliminaries
Appendix B: Additional Proofs
Appendix C: Selected Exercises Solutions.

Browse Subjects

Show more subjects...

Statistics

from
to
Export