Authors:Jochen Brüning, Victor W. Guillemin, Victor W. Guill
Publisher: Springer
Keywords: integral, operators, fourier, present, past, mathematics
Number of Pages: 283
Published: 1994-02-18
List price: $137.00
ISBN-10: 3540567410
ISBN-13: 9783540567417

What is the true mark of inspiration? Ideally it may mean the originality, freshness and enthusiasm of a new breakthrough in mathematical thought. The reader will feel this inspiration in all four seminal papers by Duistermaat, Guillemin and Hörmander presented here for the first time ever in one volume. However, as time goes by, the price researchers have to pay is to sacrifice simplicity for the sake of a higher degree of abstraction. Thus the original idea will only be a foundation on which more and more abstract theories are being built. It is the unique feature of this book to combine th

Author: Victor Guillemin
Publisher: American Mathematical Society
Keywords: monographs, number, surveys, mathematical, asymptotics, geometric
Number of Pages: 480
Published: 1977-12-31
List price: $91.00
ISBN-10: 0821816330
ISBN-13: 9780821816332

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, Differe

Author: Victor Guillemin
Publisher: Princeton University Press
Keywords: deformations, models, cyclic, dimensions, cosmology
Number of Pages: 240
Published: 1989-03-01
List price: $57.50
ISBN-10: 0691085145
ISBN-13: 9780691085142

The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional "Floque

Author: Victor W. Guillemin and Shlomo Sternberg
Publisher: American Mathematical Society
Keywords: publications, colloquium, kepler, theme, variations
Number of Pages: 88
Published: 2006-09-15
List price: $29.00
ISBN-10: 082184184X
ISBN-13: 9780821841846

This book is based on the Colloquium Lectures presented by Shlomo Sternberg in 1990. The authors delve into the mysterious role that groups, especially Lie groups, play in revealing the laws of nature by focusing on the familiar example of Kepler motion: the motion of a planet under the attraction of the sun according to Kepler’s laws. Newton realized that Kepler’s second law--that equal areas are swept out in equal times--has to do with the fact that the force is directed radially to the sun. Kepler’s second law is really the assertion of the conservation of angular momentum

Authors:Victor Guillemin, Shlomo Sternberg,
Publisher: Cambridge University Press
Keywords: physics, techniques, symplectic
Number of Pages: 484
Published: 1990-05-25
List price: $70.00
ISBN-10: 0521389909
ISBN-13: 9780521389907

Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but

Authors:Malcolm Adams, Victor Guillemin,
Publisher: Birkhäuser Boston
Keywords: probability, theory, measure
Number of Pages: 228
Published: 1996-01-26
List price: $59.95
ISBN-10: 0817638849
ISBN-13: 9780817638849

"…the text is user friendly to the topics it considers and should be very accessible…Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students."—The Journal of the American Statistical Association

Authors:Victor Guillemin, Masaki Kashiwara, Takahiro Kawai,
Publisher: Princeton University Press
Keywords: mathematics, studies, annals, analysis, micro, local, seminar
Number of Pages: 152
Published: 1979-11-01
List price: $44.00
ISBN-10: 0691082324
ISBN-13: 9780691082325

The first series of lectures in this volume are an introductory account of the theory of microfunctions. This parallels somewhat the account in (SKK); however, here the cohomological aspects of the subject are somewhat suppressed in order to make these lectures more accessible to an audience of analysts. The subsequent lectures in this volume are devoted to special aspects of the theory of micro functions and to applications such as boundary values of elliptic partial differential equations.