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.

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

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).


Book Information
ISBN 9781107456815
Author Yisong Yang
Format Paperback
Page Count 331
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 490g
Dimensions(mm) 228mm * 152mm * 20mm