Treasure in the attic
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.
|Grouped Work ID||c7152682-6fc4-59ab-1179-0f672179bcc0|
|Full title||treasure in the attic|
|Last Update||2018-05-21 23:05:26PM|
|Last Indexed||2018-05-25 01:03:06AM|
|available_at_school||Norman Binkley Elementary, Park Avenue Elementary|
|detailed_location_school||Norman Binkley Elementary - Everyone, Park Avenue Elementary - Everyone|
|display_description||Having discovered a basket her mother made with her grandmother, Sarah wants to learn to make a basket, too, in keeping with her African heritage.|
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|owning_location_school||Norman Binkley Elementary, Park Avenue Elementary|
|record_details||ils:CARL0000522684|Book|Books||English|Raintree Steck-Vaughn,|c1993.|32 p. : col. ill. ; 22 x 26 cm.|
|scoping_details_school||ils:CARL0000522684|A01098003|On Shelf|On Shelf|false|true|true|false|false|true||||, ils:CARL0000522684|A01201551|On Shelf|On Shelf|false|true|true|false|false|true|||||
|subject_facet||African Americans -- Fiction, Baskets -- Fiction, Children's writings, Children's writings, American, Mothers and daughters. -- Fiction|
|title_display||Treasure in the attic|
|title_full||Treasure in the attic / story by Christina Chapman ; illustrations by Pat Hoggan|
|title_short||Treasure in the attic|
|topic_facet||African Americans, Baskets, Children's writings, Children's writings, American, Fiction, Mothers and daughters|