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Differential Geometry and Mathematical Physics (Record no. 27353)

000 -LEADER
fixed length control field 03163nam a22005055i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310153041.0
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 121116s2013 ne | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789400753457
978-94-007-5345-7
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC5.53
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
Edition number 23
264 #1 -
-- Dordrecht :
-- Springer Netherlands :
-- Imprint: Springer,
-- 2013.
912 ## -
-- ZDB-2-PHA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Rudolph, Gerd.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Differential Geometry and Mathematical Physics
Medium [electronic resource] :
Remainder of title Part I. Manifolds, Lie Groups and Hamiltonian Systems /
Statement of responsibility, etc by Gerd Rudolph, Matthias Schmidt.
300 ## - PHYSICAL DESCRIPTION
Extent XIII, 759 p. 39 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Theoretical and Mathematical Physics,
International Standard Serial Number 1864-5879
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Differentiable manifolds --  2 Vector bundles --  3 Vector fields --  4 Differential forms --  5 Lie groups --  6 Lie group actions --  7 Linear symplectic algebra --  8 Symplectic geometry --  9 Hamiltonian systems --  10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory --  References.
520 ## - SUMMARY, ETC.
Summary, etc Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
Topical term or geographic name as entry element Topological Groups.
Topical term or geographic name as entry element Global analysis.
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Mathematical physics.
Topical term or geographic name as entry element Mechanics.
Topical term or geographic name as entry element Physics.
Topical term or geographic name as entry element Mathematical Methods in Physics.
Topical term or geographic name as entry element Global Analysis and Analysis on Manifolds.
Topical term or geographic name as entry element Mechanics.
Topical term or geographic name as entry element Topological Groups, Lie Groups.
Topical term or geographic name as entry element Differential Geometry.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Schmidt, Matthias.
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
Display text Printed edition:
International Standard Book Number 9789400753440
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-94-007-5345-7
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-24AUM Main Library2014-04-24 2014-04-24 E-Book   AUM Main Library530.15
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