000 -LEADER |
fixed length control field |
nam a22 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
230830b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783030861575 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.5 |
Item number |
MOO |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Moon, Heather A. |
245 ## - TITLE STATEMENT |
Title |
Application-inspired linear algebra |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
Springer, |
Date of publication, distribution, etc |
2022 |
Place of publication, distribution, etc |
Cham : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xxi, 527 p. ; |
Other physical details |
ill., (some color), |
Dimensions |
26 cm |
365 ## - TRADE PRICE |
Price amount |
49.99 |
Price type code |
EUR |
Unit of pricing |
94.90 |
490 ## - SERIES STATEMENT |
Series statement |
Springer Undergraduate Texts in Mathematics and Technology |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This textbook invites students to discover abstract ideas in linear algebra within the context of applications. Diffusion welding and radiography, the two central applications, are introduced early on and used throughout to frame the practical uses of important linear algebra concepts. Students will learn these methods through explorations, which involve making conjectures and answering open-ended questions. By approaching the subject in this way, new avenues for learning the material emerge: For example, vector spaces are introduced early as the appropriate setting for the applied problems covered; and an alternative, determinant-free method for computing eigenvalues is also illustrated. In addition to the two main applications, the authors also describe possible pathways to other applications, which fall into three main areas: Data and image analysis (including machine learning); dynamical modeling; and optimization and optimal design. Several appendices are included as well, one of which offers an insightful walkthrough of proof techniques. Instructors will also find an outline for how to use the book in a course. Additional resources can be accessed on the authors website, including code, data sets, and other helpful material. Application-Inspired Linear Algebra will motivate and immerse undergraduate students taking a first course in linear algebra, and will provide instructors with an indispensable, application-first approach. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Linear Diffusion bonding Mathematics |
|
Topical term or geographic name as entry element |
Augmented matrix |
|
Topical term or geographic name as entry element |
Coordinate vectors |
|
Topical term or geographic name as entry element |
Eigenvectors |
|
Topical term or geographic name as entry element |
Inner products space |
|
Topical term or geographic name as entry element |
Linear combination |
|
Topical term or geographic name as entry element |
Linear transformation |
|
Topical term or geographic name as entry element |
Matrix representation |
|
Topical term or geographic name as entry element |
Radiographic transformation |
|
Topical term or geographic name as entry element |
Reduced echelon form |
|
Topical term or geographic name as entry element |
Scalar multiplication |
|
Topical term or geographic name as entry element |
Singular value decomposition |
|
Topical term or geographic name as entry element |
Spanning set |
|
Topical term or geographic name as entry element |
Voxels |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Asaki, Thomas J. |
|
Personal name |
Snipes, Marie A. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |