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Geometric Asymptotics

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Softcover ISBN: 978-0-8218-1633-2
Product Code: SURV/14
List Price: $96.00 MAA Member Price:$86.40
AMS Member Price: $76.80 Electronic ISBN: 978-0-8218-3208-0 Product Code: SURV/14.E List Price:$96.00
MAA Member Price: $86.40 AMS Member Price:$76.80
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AMS Member Price: $115.20 Click above image for expanded view Geometric Asymptotics Available Formats:  Softcover ISBN: 978-0-8218-1633-2 Product Code: SURV/14  List Price:$96.00 MAA Member Price: $86.40 AMS Member Price:$76.80
 Electronic ISBN: 978-0-8218-3208-0 Product Code: SURV/14.E
 List Price: $96.00 MAA Member Price:$86.40 AMS Member Price: $76.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$144.00 MAA Member Price: $129.60 AMS Member Price:$115.20
• Book Details

Mathematical Surveys and Monographs
Volume: 141977; 480 pp
MSC: Primary 20; Secondary 22; 35; 44; 49;

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.

• Chapters
• I. Introduction. The method of stationary phase
• II. Differential operators and asymptotic solutions
• III. Geometrical optics
• IV. Symplectic geometry
• V. Geometric quantization
• VI. Geometric aspects of distributions
• VII. Compound asymptotics
• Reviews

• The topic of this nice book can be defined as a geometric approach to the investigation of some analytic problems, especially to the study of Fourier integral operators. These operators are now widely used for the analysis of singularities of solutions of linear partial differential equations and for the study of the spectra of the corresponding operators. In general the book is very interesting and useful for specialists both in analysis and in differential geometry.

Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 141977; 480 pp
MSC: Primary 20; Secondary 22; 35; 44; 49;

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.

• Chapters
• I. Introduction. The method of stationary phase
• II. Differential operators and asymptotic solutions
• III. Geometrical optics
• IV. Symplectic geometry
• V. Geometric quantization
• VI. Geometric aspects of distributions
• VII. Compound asymptotics
• The topic of this nice book can be defined as a geometric approach to the investigation of some analytic problems, especially to the study of Fourier integral operators. These operators are now widely used for the analysis of singularities of solutions of linear partial differential equations and for the study of the spectra of the corresponding operators. In general the book is very interesting and useful for specialists both in analysis and in differential geometry.

Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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