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A Concise Text on Advanced Linear Algebra-Cambridge University Press (2015) pdf {Charm-Quark}

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 							A Concise Text on Advanced Linear
Algebra
  
  Title : A Concise Text on Advanced Linear
Algebra	
  Author : Yisong Yang
  ISBN : 1107456819, 9781107456815, 1107087511, 9781107087514
  Publisher
: Cambridge University Press
  pages : 333
  
  
  
  Book Description
:
  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.
  
 
Contents :
  
  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
  References
  Index.
  
  ------------------------------------------------------------------------------------------------------------------
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