The Principle of Least Action in Geometry and Dynamics (Record no. 10739)

MARC details
000 -LEADER
fixed length control field 02893nam a22005175i 4500
001 - CONTROL NUMBER
control field 978-3-540-40985-4
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151445.0
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 121227s2004 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540409854
-- 978-3-540-40985-4
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-540-40985-4
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA313
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWR
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWR
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.48
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Siburg, Karl Friedrich.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 14 - TITLE STATEMENT
Title The Principle of Least Action in Geometry and Dynamics
Medium [electronic resource] /
Statement of responsibility, etc by Karl Friedrich Siburg.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 2004.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 132 p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 1844
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Aubry-Mather Theory -- Mather-Mané Theory -- The Minimal Action and Convex Billiards -- The Minimal Action Near Fixed Points and Invariant Tori -- The Minimal Action and Hofer's Geometry -- The Minimal Action and Symplectic Geometry -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global differential geometry.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global analysis.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M1204X
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M21022
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global Analysis and Analysis on Manifolds.
-- http://scigraph.springernature.com/things/product-market-codes/M12082
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
Display text Printed edition:
International Standard Book Number 9783540219446
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662190296
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 1844
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/978-3-540-40985-4
912 ## -
-- ZDB-2-SMA
912 ## -
-- ZDB-2-LNM
912 ## -
-- ZDB-2-BAE

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