Dynamical Systems IV: Symplectic Geometry and its Applications

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S.P. Novikov
Springer Science & Business Media, Jun 20, 2001 - Mathematics - 336 pages
From the reviews of the first edition:
"... In general the articles ... are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers."
New Zealand Math. Soc. Newsletter 1991
"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete..."
Mededelingen van het Wiskundig genootshap 1992
 

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Contents

Fig 1 Transversality
13
1
15
OK
17
G+
22
ر ا ا ا
48
Fig 15 The ray space
49
F
50
81
53
a
92
Fig 41 Transversal fronts caustics
100
Fig 43 A source with a boundary
102
Z Z
105
x
107
A
112
A3
116
Geometric Quantization
139

Fig 20 Elliptical coordinates on the plane
55
Fig 23 Hamiltonian flows on surfaces
69
a0
78
Fig 28 The geometric meaning of Lagrangian self
82
y
86
12mm + P m
170
Integrable Systems I
177
61+Go
219
V
284
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