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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Release date: |
December 2014 |
| Authors: |
Yisong Yang
|
| Dimensions: |
228 x 152 x 20mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
331 |
| ISBN-13: |
978-1-107-45681-5 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
1-107-45681-9 |
| Barcode: |
9781107456815 |
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