Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online.Read more
- Shows vectors from many different points of view so that students develop a deeper understanding
- Prepares students for further work in abstract algebra, analysis and physics
- With over 700 exercises, provides ample material for self study
Reviews & endorsements
"This book will be very useful for mathematics students. Also, mathematics teachers will find many clever ideas to transmit to students.
Julio Benitez, Mathematical ReviewsSee more reviews
"... an excellent book for mathematically mature students. Recommended."
D.M. Ha, Ryerson University for Choice Magazine
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: January 2013
- format: Paperback
- isbn: 9781107675223
- length: 452 pages
- dimensions: 255 x 173 x 24 mm
- weight: 0.83kg
- contains: 3 b/w illus. 730 exercises
- availability: In stock
Table of Contents
Part I. Familiar Vector Spaces:
1. Gaussian elimination
2. A little geometry
3. The algebra of square matrices
4. The secret life of determinants
5. Abstract vector spaces
6. Linear maps from Fn to itself
7. Distance preserving linear maps
8. Diagonalisation for orthonormal bases
9. Cartesian tensors
10. More on tensors
Part II. General Vector Spaces:
11. Spaces of linear maps
12. Polynomials in L(U,U)
13. Vector spaces without distances
14. Vector spaces with distances
15. More distances
16. Quadratic forms and their relatives
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to instructors whose faculty status has been verified. To gain access to locked resources, instructors should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other instructors may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Instructors are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact email@example.com.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×