Linear Algebra

Erscheinungsjahr 2019
ISBN: 978-1-4704-4384-9
Verlag: American Mathematical Society

Buch, Englisch, 383 Seiten, Hardback, Format (B × H): 216 mm x 279 mm, Gewicht: 1144 g

Reihe: MAA Textbooks

Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible.

The applications of linear algebra are extensive and substantial-several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.

Autoren/Hrsg.

Bogacki, Przemyslaw

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

- Vectors and matrices
- Linear systems
- Determinants
- Vector spaces
- Linear transformations
- Orthogonality and projections
- Eigenvalues and singular values
- Answers to selected odd-numbered exercises
- Recurring references to selected transformations in $R^2$
- Twelve equivalent statements
- Index.

Über Autor(innen)

Przemyslaw Bogacki, Old Dominion University, Norfolk, VA.