Applied Linear Algebra and Matrix Methods

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

69,54 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

This textbook is designed for a first course in linear algebra for undergraduate students from a wide range of quantitative and data driven fields. By focusing on applications and implementation, students will be prepared to go on to apply the power of linear algebra in their own discipline. With an ever-increasing need to understand and solve real problems, this text aims to provide a growing and diverse group of students with an applied linear algebra toolkit they can use to successfully grapple with the complex world and the challenging problems that lie ahead. Applications such as least squares problems, information retrieval, linear regression, Markov processes, finding connections in networks, and more, are introduced on a small scale as early as possible and then explored in more generality as projects. Additionally, the book draws on the geometry of vectors and matrices as the basis for the mathematics, with the concept of orthogonality taking center stage. Important matrixfactorizations as well as the concepts of eigenvalues and eigenvectors emerge organically from the interplay between matrix computations and geometry.
The R files are extra and freely available. They include basic code and templates for many of the in-text examples, most of the projects, and solutions to selected exercises. As much as possible, data sets and matrix entries are included in the files, thus reducing the amount of manual data entry required.

Über den Autor

¿Timothy G. Feeman is professor of mathematics, Villanova University, in Lancaster, Pennsylvania. His original area of research is the theory of operators on Hilbert spaces once described as "the field of mathematics that has the strongest interaction with the scientific and technological developments which are characteristic of the twentieth century." Since the mid- to late-1990s, his scholarly efforts have become more diversified. Professor Feeman is the author of The Mathematics of Medical Imaging, also published in the "Springer Undergraduate Texts in Mathematics and Technology" series.

Zusammenfassung

Presents powerful linear algebra tools in the context of real-world applications

Incorporates computers to implement algorithms

Explores concepts and applications through engaging projects

Inhaltsverzeichnis

Introduction.- 1. Vectors.- 2. Matrices.- 3. Matrix Contexts.- 4. Linear Systems.- 5. Least Squares and Matrix Geometry. 6. Orthogonal Systems.- 7. Eigenvalues.- 8. Markov Processes.- 9. Symmetric Matrices.- 10. Singular Value Decomposition.- 11. Function Spaces.-Bibliography.-Index.

Details

Erscheinungsjahr:	2023
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Springer Undergraduate Texts in Mathematics and Technology
Inhalt:	xiii 321 S. 42 s/w Illustr. 2 farbige Illustr. 321 p. 44 illus. 2 illus. in color. With online files/update.
ISBN-13:	9783031395611
ISBN-10:	3031395611
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Feeman, Timothy G.
Hersteller:	Springer International Publishing Springer Undergraduate Texts in Mathematics and Technology
Maße:	241 x 160 x 23 mm
Von/Mit:	Timothy G. Feeman
Erscheinungsdatum:	25.11.2023
Gewicht:	0,731 kg

Artikel-ID: 127200699