Skip to content
Register Sign in Wishlist

A Concise Text on Advanced Linear Algebra

$120.00 (P)

  • Author: Yisong Yang, Polytechnic School of Engineering, New York University
  • Date Published: January 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107087514

$ 120.00 (P)

Add to cart Add to wishlist

Other available formats:
Paperback, eBook

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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.

    • A well-motivated presentation which avoids unnecessary abstraction to give readers a clear grasp of the concepts covered
    • Demonstrates connections between linear algebra and other important areas
    • Contains a diverse range of over 350 exercises, with selected solutions
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: January 2015
    • format: Hardback
    • isbn: 9781107087514
    • length: 334 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.64kg
    • contains: 390 exercises
    • availability: Available
  • Table of Contents

    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

  • Author

    Yisong Yang, Polytechnic School of Engineering, New York University
    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).

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.