Symplectic Manifolds

  • Thread starter Nusc
  • Start date
  • #1
753
2

Main Question or Discussion Point

What's a really good resources with numerous easy-to-follow proofs to theorems on symplectic manifolds?

Arnold is too difficult.
 

Answers and Replies

  • #2
quasar987
Science Advisor
Homework Helper
Gold Member
4,773
8
The most basic book is probably Lectures on Symplectic Geometry by Anna Canna Da Silva.

The big book about classical machanics by Abraham and Marsden is also basic but of course it only covers stuff pertinent to classical mechanics.

After that there is Introduction to Symplectic Topology by Salamon and McDuff but this is already more difficult.
 
  • #3
753
2
I picked up the one by Marsden, the rest seemed to advanced for me.
 
  • #4
quasar987
Science Advisor
Homework Helper
Gold Member
4,773
8
What is the source of your interest in symplectic geometry? Do you want to learn about the symplectic formulation of mechanics?
 
  • #5
753
2
Well I can't follow Arnold so I need a better reference.
 
  • #6
quasar987
Science Advisor
Homework Helper
Gold Member
4,773
8
I am just curious which aspects of symplectic geometry you are interested in learning and why.
 
  • #7
753
2
Symplectic formualtion of mechanics to answer ur question.

I need to understand ch. 8 in arnold
 
  • #8
dx
Homework Helper
Gold Member
2,011
18
Try Walter Thirring's "Classical Dynamical Systems" and Fomenko's "Visual Geometry and Topology" .
 
  • #9
quasar987
Science Advisor
Homework Helper
Gold Member
4,773
8
ok, well good luck with marsden!
 
  • #10
489
0
Arnold is as basic as it gets, if you want to understand it mathematically. Understanding the definition of a symplectic manifold requires a good deal of math. Since there's no equivalent definition that doesn't require a lot of heavy math, you may be out of luck.
 

Related Threads for: Symplectic Manifolds

  • Last Post
Replies
3
Views
3K
Replies
3
Views
2K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
5
Views
7K
Replies
3
Views
2K
  • Last Post
Replies
8
Views
3K
Top