Concise Text on Advanced Linear Algebra

This engaging, well-motivated textbook helps advanced undergraduate students to grasp core concepts and reveals applications in mathematics and beyond.

List of contents

Preface; Notation and convention; 1. Vector spaces; 2. Linear mappings; 3. Determinants; 4. Scalar products; 5. Real quadratic forms and self-adjoint mappings; 6. Complex quadratic forms and self-adjoint mappings; 7. Jordan decomposition; 8. Selected topics; 9. Excursion: quantum mechanics in a nutshell; Solutions to selected problems; Bibliographic notes; References; Index.

About the author

Yisong Yang is Professor of Mathematics at the Polytechnic School of Engineering, New York University. His areas of research are partial differential equations and mathematical physics. He is a Fellow of the American Mathematical Society and the author of Solitons in Field Theory and Nonlinear Analysis (2001).

Summary

An engaging textbook for advanced undergraduate students and beginning graduates covering the core subjects in linear algebra. The author clearly motivates the theory to give readers a thorough grasp of the concepts and draws clear links to applications in mathematics and beyond.

Product details

• Authors: Yisong Yang, Yang Yisong
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 31.12.2014
• EAN: 9781107456815
• ISBN: 978-1-107-45681-5
• Dimensions: 151 mm x 226 mm x 16 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / Algebra / General, Mathematics, Topology, Quantum physics (quantum mechanics & quantum field theory)