Advanced Linear Algebra

1. Auflage 2024
ISBN: 978-1-032-92140-2
Verlag: CRC Press

Buch, Englisch, 350 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 508 g

Reihe: Textbooks in Mathematics

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products.

Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.

Zielgruppe

Postgraduate

Autoren/Hrsg.

Woerdeman, Hugo

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Fields and Matrix Algebra. Vector Spaces. Linear Transformations. The Jordan Canonical Form. Inner Product and Normed Vector Spaces. Constructing New Vector Spaces from Given Ones. How to Use Linear Algebra. How to Start Your Own Research Project. Answers to Exercises.

Über Autor(innen)

Hugo J. Woerdeman, PhD, professor, Department of Mathematics, Drexel University, Philadelphia, Pennsylvania, USA