Geometric Asymptotics.

GUILLEMIN, Victor (1937-) & Shlomo STERNBERG:

ISBN 10: 0821815148 / ISBN 13: 9780821815144

Published by Providence: American Mathematical Society, 1977., 1977

About this Item

Frontispiece, xviii, 474 pp. Original cloth, large 8vo. Very Good+. Mathematical Surveys Number 14. Seller Inventory # 19283

Bibliographic Details

Title: Geometric Asymptotics.

Publisher: Providence: American Mathematical Society, 1977.

Publication Date: 1977

Binding: Hardcover

Condition: Near Fine

Dust Jacket Condition: No Jacket

Edition: 1st Edition

About this title

Synopsis:

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.