A concise text on advanced linear algebra

Research output: Book/ReportBook

Abstract

This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.

Original languageEnglish (US)
PublisherCambridge University Press
Number of pages318
ISBN (Print)9781316103845, 9781107087514
DOIs
StatePublished - Jan 1 2014

Fingerprint

Linear algebra
Fundamental theorem of algebra
Cayley-Hamilton theorem
Quantum Mechanics
Exercise
Vector Field
Determinant
Cover
Eigenvalue
Topology
Distinct
Text
Concepts
Drawing
Background

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A concise text on advanced linear algebra. / Yang, Yisong.

Cambridge University Press, 2014. 318 p.

Research output: Book/ReportBook

Yang, Yisong. / A concise text on advanced linear algebra. Cambridge University Press, 2014. 318 p.
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