Coverart for item
The Resource Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, by Kenneth R. Meyer, Daniel C. Offin, (electronic resource)

Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, by Kenneth R. Meyer, Daniel C. Offin, (electronic resource)

Label
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Title
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Statement of responsibility
by Kenneth R. Meyer, Daniel C. Offin
Creator
Contributor
Author
Subject
Language
eng
Summary
This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ... It is a well-organized and accessible introduction to the subject ... . This is an attractive book ... ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic ... and is sure to excite future generations of readers. ... This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ... it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d).--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Meyer, Kenneth R
Dewey number
515.39
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Offin, Daniel C.
Series statement
  • Springer eBooks
  • Applied Mathematical Sciences,
Series volume
90
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Physics
  • Vibration
  • Dynamical systems
Label
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, by Kenneth R. Meyer, Daniel C. Offin, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-53691-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Beginnings -- Hamiltonian Systems -- Celestial Mechanics -- The Restricted Problem -- Topics in Linear Theory -- Local Geometric Theory -- Symplectic Geometry -- Special Coordinates -- Poincaré’s Continuation Method -- Normal Forms -- Bifurcations of Periodic Orbits -- Stability and KAM Theory -- Variational Techniques
Control code
978-3-319-53691-0
Dimensions
unknown
Edition
3rd ed. 2017.
Extent
1 online resource (XIII, 384 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319536910
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-53691-0
Other physical details
40 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)987212730
Label
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, by Kenneth R. Meyer, Daniel C. Offin, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-53691-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Beginnings -- Hamiltonian Systems -- Celestial Mechanics -- The Restricted Problem -- Topics in Linear Theory -- Local Geometric Theory -- Symplectic Geometry -- Special Coordinates -- Poincaré’s Continuation Method -- Normal Forms -- Bifurcations of Periodic Orbits -- Stability and KAM Theory -- Variational Techniques
Control code
978-3-319-53691-0
Dimensions
unknown
Edition
3rd ed. 2017.
Extent
1 online resource (XIII, 384 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319536910
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-53691-0
Other physical details
40 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)987212730

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