John Toland and the Deist controversy : a study in adaptations / Robert E. Sullivan

• Record Nr.: UNISA990005673370203316
• Autore: SULLIVAN, Robert E.
• Pubbl/distr/stampa: Cambridge : Harvard University Press, 1982
• Descrizione fisica: VIII, 355 p. ; 24 cm.
• Collana: Harvard historical studies / published under the direction of the Department of History from the income of The Henry Warren Torrey fund ; 101
• Disciplina: 211.5
• Soggetti: Toland, John - Religione - Polemiche
• Collocazione: CC 211.5 SUL
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia

Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg

• Record Nr.: UNINA9910146558303321
• Autore: Guillemin Victor <1937->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1977]; ©1977
• ISBN: 0-8218-1633-0; 0-8218-3208-5
• Edizione: [Revised ed.]
• Descrizione fisica: 1 online resource (500 p.)
• Collana: Mathematical surveys and monographs ; ; number 14
• Disciplina: 516.3/6
• Soggetti: Geometry, Differential; Asymptotic expansions; Geometrical optics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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 ; vector bundles""; ""Â2. The group of automorphisms of an Hermitian line bundle""; ""Â3. Polarizations""; ""Â4. Metalinear manifolds and half forms""; ""Â5. Metaplectic manifolds""; ""Â6. The pairing of half form sections""; ""Â7. The metaplectic representation""; ""Â8. Some examples""; ""CHAPTER VI. GEOMETRIC ASPECTS OF DISTRIBUTIONS""; ""Â1. Elementary functorial properties of distributions""; ""Â2. Traces and characters""; ""Â3. The wave front set""; ""Â4. Lagrangian distributions """"Â5. The symbol calculus""; ""Appendix to Section 5""; ""Â6. Fourier integral operators""; ""Â7. The transport equation""; ""Â8. Some applications to spectral theory""; ""APPENDIX TO CHAPTER VI. THE PLANCHEREL FORMULA FOR THE COMPLEX SEMI-SIMPLE LIE GROUPS""; ""CHAPTER VII. COMPOUND ASYMPTOTICS""; ""Â0. Introduction""; ""Â1. The asymptotic Fourier transform""; ""Â2. The frequency set""; ""Â3. Functorial properties of compound asymptotics""; ""Â4. The symbol calculus""; ""Â5. Pointwise behavior of compound asymptotics and Bernstein's theorem""; ""Appendix to Section 5 of Chapter VII""""Â6. Behavior near caustics""; ""Â7. Iterated S[sub(1)] and S[sub(2,0)] singularities, computations""; ""Â8. Proofs of the normal forms""; ""Â9. Behavior near caustics (continued)""; ""APPENDIX II. VARIOUS FUNCTORIAL CONSTRUCTIONS""; ""Â1. The category of smooth vector bundles""; ""Â2. The fiber product""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""W""