Elementary Symplectic Topology and Mechanics (Record no. 263265)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03706nam a22005295i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-11026-4 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20160615101655.0 |
| 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 | 141201s2015 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319110264 |
| -- | 978-3-319-11026-4 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-319-11026-4 |
| Source of number or code | doi |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | Alfaisal Main Library |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA401-425 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC19.2-20.85 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cardin, Franco. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Elementary Symplectic Topology and Mechanics |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Franco Cardin. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XVII, 222 p. 44 illus., 11 illus. in color. |
| 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 | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes of the Unione Matematica Italiana, |
| International Standard Serial Number | 1862-9113 ; |
| Volume number/sequential designation | 16 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Beginning -- Notes on Differential Geometry -- Symplectic Manifolds -- Poisson brackets environment -- Cauchy Problem for H-J equations -- Calculus of Variations and Conjugate Points -- Asymptotic Theory of Oscillating Integrals -- Lusternik-Schnirelman and Morse -- Finite Exact Reductions -- Other instances -- Bibliography. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this theory are exposed in Chapter 8: aspects of Poincaré's last geometric theorem and the Arnol'd conjecture are introduced. In Chapter 7 elements of the global asymptotic treatment of the highly oscillating integrals for the Schrödinger equation are discussed: as is well known, this eventually leads to the theory of Fourier Integral Operators. This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential geometry. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus of variations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical physics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus of Variations and Optimal Control; Optimization. |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| Source of term | local |
| 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 | 9783319110257 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Lecture Notes of the Unione Matematica Italiana, |
| -- | 1862-9113 ; |
| Volume number/sequential designation | 16 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-3-319-11026-4">http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-3-319-11026-4</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | eBooks |
No items available.