Verfügbarkeit: Elementary symplectic topology and mechanics

Elementary symplectic topology and mechanics:

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Bibliographische Detailangaben
Beteilige Person:	Cardin, Franco (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham Springer [2015]
Schriftenreihe:	Lecture notes of the Unione Matematica Italiana 16
Schlagwörter:	Electronic book text Statistik
Links:	https:///doi.org/10.1007/978-3-319-11026-4 https:///doi.org/10.1007/978-3-319-11026-4 https:///doi.org/10.1007/978-3-319-11026-4 https:///doi.org/10.1007/978-3-319-11026-4 https:///doi.org/10.1007/978-3-319-11026-4 https:///doi.org/10.1007/978-3-319-11026-4 https:///doi.org/10.1007/978-3-319-11026-4 https://doi.org/10.1007/978-3-319-11026-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027712600&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027712600&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource (xvii, 222 Seiten)
ISBN:	9783319110264
DOI:	10.1007/978-3-319-11026-4

Internformat

MARC


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Datensatz im Suchindex

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adam_text	ELEMENTARY SYMPLECTIC TOPOLOGY AND MECHANICS / CARDIN, FRANCO : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ELEMENTARY SYMPLECTIC TOPOLOGY AND MECHANICS / CARDIN, FRANCO : 2015 ABSTRACT / INHALTSTEXT 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-HOERMANDER 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 POINCARE 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 SCHROEDINGER EQUATION ARE DISCUSSED: AS IS WELL KNOWN, THISEVENTUALLYLEADS TO THE THEORY OF FOURIER INTEGRAL OPERATORS. THIS SHORT HANDBOOK IS DIRECTED TOWARD GRADUATE STUDENTS IN MATHEMATICS AND PHYSICS AND TO ALL THOSE WHODESIRE A QUICK INTRODUCTIONTOTHESE BEAUTIFUL SUBJECTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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series	Lecture notes of the Unione Matematica Italiana
series2	Lecture notes of the Unione Matematica Italiana
spellingShingle	Cardin, Franco Elementary symplectic topology and mechanics Lecture notes of the Unione Matematica Italiana
subject_GND	(DE-588)4056995-0
title	Elementary symplectic topology and mechanics
title_auth	Elementary symplectic topology and mechanics
title_exact_search	Elementary symplectic topology and mechanics
title_full	Elementary symplectic topology and mechanics Franco Cardin
title_fullStr	Elementary symplectic topology and mechanics Franco Cardin
title_full_unstemmed	Elementary symplectic topology and mechanics Franco Cardin
title_short	Elementary symplectic topology and mechanics
title_sort	elementary symplectic topology and mechanics
topic_facet	Statistik
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work_keys_str_mv	AT cardinfranco elementarysymplectictopologyandmechanics

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