Advanced Linear Algebra
A Concise Text with Contemporary Applications
2nd Edition
Published on 12. June 2025
Book
Paperback/Softback
472 pages
978-1-009-58984-0 (ISBN)
Description
The second edition of this engaging textbook for advanced undergraduate students and beginning graduates covers all the core subjects in linear algebra. It has a unique emphasis on integrating ideas from analysis, in addition to pure algebra, and features a balance of abstraction, practicality, and contemporary applications. Four chapters examine some of the most important of these applications, including quantum mechanics, machine learning, data science, and quantum information. The material is supplemented by a rich collection of exercises designed for students from diverse backgrounds, including a wealth of newly added ones in this edition. Selected solutions are provided at the back of the book for use in self-study, and full solutions are available online to instructors.
Reviews / Votes
'Mastering the intricacies of linear algebra has never been easier. This textbook offers a clear, engaging approach that demystifies complex concepts while providing some contemporary applications in quantum mechanics, machine learning, and data science. A valuable resource for both students and professionals eager to deepen their understanding of this foundational discipline!' Jichun Li, University of Nevada, Las Vegas 'Yang's book is a wonderful introduction to linear algebra. It is simultaneously precise and casual and covers both introductory and advanced material. This second edition includes fantastic excursions into areas of mathematics and physics where linear algebra plays a central role, such as quantum information theory and machine learning, providing the reader a unique opportunity to see the material they just learned put to good use. I highly recommend this text.' Isaac M. Goldbring, University of California, IrvineMore details
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Edition type
Revised edition
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 228 mm
Width: 155 mm
Thickness: 27 mm
Weight
645 gr
ISBN-13
978-1-009-58984-0 (9781009589840)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Yisong Yang
A Concise Text on Advanced Linear Algebra
Book
12/2014
Cambridge University Press
€102.75
Shipment within 15-20 days
Person
Yisong Yang is Professor at the Courant Institute of Mathematical Sciences, New York University. He is a Fellow of the American Mathematical Society and the author of 'Solitons in Field Theory and Nonlinear Analysis' (2001) and 'Mathematical Physics with Differential Equations' (2023).
Content
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; 10. Excursion: Problems in machine learning; 11. Excursion: Problems in data analysis; 12. Excursion: Multilinear algebra; 13. Excursion: Essentials of quantum information and quantum entanglement; Solutions to selected problems; Bibliographic notes; Bibliography; Index.