Geometric Structure of Systems-Control Theory and Physics, Part A
By addebook • Oct 3rd, 2008 • Category: Mathematics •
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Geometric Structure of Systems-Control Theory and Physics, Part A (Interdisciplinary Mathematics Volume IX)
by Robert Hermann
Geometric Structure of Systems-Control Theory and Physics, Part A (Interdisciplinary Mathematics Volume IX)
By Robert Hermann
Publisher: Math Science Pr
Number Of Pages:
Publication Date: 1974-06
ISBN-10 / ASIN: 0915692082
ISBN-13 / EAN: 9780915692088
Binding: Paperback
Aproximate Contents (CHAPTER TITLE / page number / keyword,keyword,keyword ) :
Chapter
1
vector fields, Lie algebra, integral curves
Chapter II
39
linear subspace, vector space, electrical circuit
Chapter III
57
Pfaffian system, integral curve, exterior derivative
Chapter IV
93
calculus of variations, vector space, convex function
Chapter V
131
Pfaffian system, configuration space, classical mechanics
Higher Derivative Lagrangians
148
Hamilton equations, variables q, axm a
Chapter VI
155
linearly independent, Hamilton equations, HAMILTONIAN SYSTEMS
Chapter VII
175
SYMPLECTIC FLOWS, boundary value problem, linear maps
Chapter VIII
199
direct sum, isomorphism, nilpotent
Chapter IX
265
thermodynamic system, Pfaffian, differential ideal
Chapter X
279
differential forms, cotangent bundle, differential ideal
Chapter XI
317
vector bundle, cotangent bundle, electric circuits
Chapter XII
361
Lagrangian submanifold, dual vector spaces, circuit theory
The Tangent Bundle of a Symplectic Manifold
401
Lagrangian submanifold, contact structure, symplectic structure
Chapter XIII
421
Differential geometry, linear differential equation, Non-Linear Systems
Bibliography
439
Differential Geometry, Ordinary Differential Equations, Lie Group
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