Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Record no. 56044)

MARC details
000 -LEADER
fixed length control field 03512nam a22004935i 4500
001 - CONTROL NUMBER
control field 978-0-387-09724-4
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250710083925.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2009 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387097244
-- 99780387097244
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-387-09724-4
Source of number or code doi
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition information 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.48
Edition information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Meyer, Kenneth.
Relator term author.
245 10 - TITLE STATEMENT
Title Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Medium [recurso electrónico] /
Statement of responsibility, etc. by Kenneth Meyer, Glen Hall, Dan Offin.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York,
Date of production, publication, distribution, manufacture, or copyright notice 2009.
300 ## - PHYSICAL DESCRIPTION
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term recurso en línea
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Applied Mathematical Sciences,
International Standard Serial Number 0066-5452 ;
Volume/sequential designation 90
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Hamiltonian Systems -- Equations of Celestial Mechanics -- Linear Hamiltonian Systems -- Topics in Linear Theory -- Exterior Algebra and Differential Forms -- Symplectic Transformations -- Special Coordinates -- Geometric Theory -- Continuation of Solutions -- Normal Forms -- Bifurcations of Periodic Orbits -- Variational Techniques -- Stability and KAM Theory -- Twist Maps and Invariant Circle.
520 ## - SUMMARY, ETC.
Summary, etc. This text grew out of graduate level courses in mathematics, engineering and physics given at several 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. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapter devoted to finding symmetric periodic solutions by calculus of variations methods. The main examples treated in this text are the N-body problem and various specialized problems like the restricted three-body problem. The theory of the N-body problem is used to illustrate the general theory. Some of the topics covered are the classical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods, stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GLOBAL ANALYSIS (MATHEMATICS).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DIFFERENTIABLE DYNAMICAL SYSTEMS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL PHYSICS.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DYNAMICAL SYSTEMS AND ERGODIC THEORY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL AND COMPUTATIONAL PHYSICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ANALYSIS.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hall, Glen.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Offin, Dan.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387097237
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Applied Mathematical Sciences,
International Standard Serial Number 0066-5452 ;
Volume/sequential designation 90
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-387-09724-4">http://dx.doi.org/10.1007/978-0-387-09724-4</a>
Public note Ver el texto completo en las instalaciones del CICY
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Libros electrónicos
Holdings
Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total checkouts Full call number Date last seen Price effective from Koha item type
  Dewey Decimal Classification     Libro electrónico CICY CICY Libro electrónico 10.07.2025   515.39 | 515.48 10.07.2025 10.07.2025 Libros electrónicos