Graduate Studies in Mathematics
Volume: 138; 2012; 431 pp; Softcover
MSC: Primary 35; 81;

Print ISBN: 978-1-4704-7062-3
Product Code: GSM/138.S
List Price: $80.00
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MAA Member Price: $72.00

Electronic ISBN: 978-0-8218-8995-4
Product Code: GSM/138.E
List Price: $75.00
AMS Member Price: $60.00
MAA Member Price: $67.50

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Semiclassical Analysis

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Maciej Zworski

This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject.

—Alejandro Uribe, University of Michigan

Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel–Kramers–Brillouin approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature.

Readership

Graduate students and research mathematicians interested in semiclassical and microlocal methods in partial differential equations.

Reviews & Endorsements

...an excellent and self-contained introduction to the semiclassical and microlocal methods in the study of PDEs.

-- Zentralblatt MATH

Semiclassical Analysis

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Print Product Code: GSM/138.S

Online Product Code: GSM/138.E

Title (HTML): Semiclassical Analysis

Author(s) (Product display): Maciej Zworski

Affiliation(s) (HTML): University of California, Berkeley, Berkeley, CA

Abstract:

This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject.

Book Series Name: Graduate Studies in Mathematics

Volume: 138

Publication Month and Year: 2022-05-09

Page Count: 431

Cover Type: Softcover

Print ISBN-13: 978-1-4704-7062-3

Online ISBN 13: 978-0-8218-8995-4

Print ISSN: 1065-7339

Online ISSN: 1065-7339

Primary MSC: 35; 81

Textbook?: true

Applied Math?: true

MAA Book?: false

Inquiry Based Learning?: false

Electronic Media?: false

Apparel or Gift: false

SXG Subject: DE; AN

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/gsm-138

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Print Price 2 Label: AMS Member

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Online Price 3 Label: MAA Member

Online Price 3: 67.50

Print Price 3 Label: MAA Member

Print Price 3: 72.00

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Exam/Desk Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-0-8218-8995-4&pisbn=978-1-4704-7062-3&epc=GSM/138.E&ppc=GSM/138.S&title=Semiclassical%20Analysis&author=Maciej%20Zworski&type=DE

Review Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-0-8218-8995-4&pisbn=978-1-4704-7062-3&epc=GSM/138.E&ppc=GSM/138.S&title=Semiclassical%20Analysis&author=Maciej%20Zworski&type=R

Readership:

Graduate students and research mathematicians interested in semiclassical and microlocal methods in partial differential equations.

Reviews:

...an excellent and self-contained introduction to the semiclassical and microlocal methods in the study of PDEs.

-- Zentralblatt MATH

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Cover
- Cover
Title page
- Title page
Contents
- Contents
Preface
- Preface
Introduction
- Introduction
Part I. Basic theory
- Part I. Basic theory
Index
- Index

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Semiclassical Analysis

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Table of Contents

Semiclassical Analysis

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Cover

Title page

Contents

Preface

Introduction

Part I. Basic theory

Index