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Geometric Asymptotics.

GUILLEMIN, Victor (1937-) & Shlomo STERNBERG:

ISBN 10: 0821815148 / ISBN 13: 9780821815144
Editorial: Providence: American Mathematical Society, 1977., 1977
Condición: Near Fine Encuadernación de tapa dura
Librería: Ted Kottler, Bookseller (Redondo Beach, CA, Estados Unidos de America)

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Frontispiece, xviii, 474 pp. Original cloth, large 8vo. Very Good+. Mathematical Surveys Number 14. N° de ref. de la librería 19283

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Detalles bibliográficos

Título: Geometric Asymptotics.

Editorial: Providence: American Mathematical Society, 1977.

Año de publicación: 1977

Encuadernación: Hardcover

Condición del libro:Near Fine

Condición de la sobrecubierta: No Jacket

Edición: 1st Edition

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Sinopsis:

Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence. Chapters included in this book are: Chapter I, Introduction. The method of stationary phase; Appendix I, Morse's lemma and some generalizations; Chapter II, Differential operators and asymptotic solutions; Chapter III, Geometrical optics; Chapter IV, Symplectic geometry; Chapter V, Geometric quantization; Chapter VI, Geometric aspects of distribution; Appendix to Chapter VI, The Plancherel formula for the complex semisimple Lie groups; Chapter VII, Compound Asymptotics; Appendix II, Various functorial constructions; Index.

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