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Record Nr. |
UNISA996320722703316 |
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Autore |
Guillemin Victor <1937-> |
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Titolo |
Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1977] |
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©1977 |
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ISBN |
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0-8218-1633-0 |
0-8218-3208-5 |
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Edizione |
[Revised ed.] |
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Descrizione fisica |
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1 online resource (500 p.) |
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Collana |
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Mathematical surveys and monographs ; ; number 14 |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Asymptotic expansions |
Geometrical optics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""TABLE OF CONTENTS""; ""PREFACE""; ""NOTATION""; ""CHAPTER I. INTRODUCTION. THE METHOD OF STATIONARY PHASE""; ""APPENDIX I. MORSE'S LEMMA AND SOME GENERALIZATIONS""; ""CHAPTER II. DIFFERENTIAL OPERATORS AND ASYMPTOTIC SOLUTIONS""; ""Â1. Differential operators""; ""Â2. Asymptotic sections""; ""Â3. The LÃneburg-Lax-Ludwig technique""; ""Â4. The methods of characteristics""; ""Â5. Bi-characteristics""; ""Â6. The transport equation""; ""Â7. The Maslov cycle and the Bohr-Sommerfeld quantization conditions""; ""CHAPTER III. GEOMETRICAL OPTICS"" |
""Â1. The laws of refraction and reflection""""Â2. Focusing and magnification""; ""Â3. Hamilton's method""; ""Â4. First order optics""; ""Â5. The Seidel aberrations""; ""Â6. The asymptotic solution of Maxwell's equations""; ""CHAPTER IV. SYMPLECTIC GEOMETRY""; ""Â1. The Darboux-Weinstein theorem""; ""Â2. Symplectic vector spaces""; ""Â3. The cross index and the Maslov class""; ""Â4. Functorial properties of Lagrangian submanifolds""; ""Â5. Local parametrizations of Lagrangian submanifolds""; ""Â6. Periodic Hamiltonian systems""; ""Â7. Homogeneous symplectic spaces"" |
""Â8. Multisymplectic structures and the calculus of variations""""CHAPTER V. GEOMETRIC QUANTIZATION""; ""Â1. Curvature forms and |
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