ENGLISH

Geometric asymptotics

By Victor Guillemin , Shlomo Sternberg

Book information

Publisher
American Mathematical Society
Year
1977
ISBN
9780821816332, 0821816330
LCC
QA649 .G86 1990
Language
english
Format
DJVU
Filesize
4 MB (4625752 bytes)
Series
Mathematical surveys and monographs 14
Edition
Rev. ed
Pages
481\481
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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.

Similar books