
Preface  Preview Material  Table of Contents  Index  Supplementary Material 
Graduate Studies in Mathematics 2012; 431 pp; hardcover Volume: 138 ISBN10: 0821883208 ISBN13: 9780821883204 List Price: US$75 Member Price: US$60 Order Code: GSM/138 See also: Geometric Asymptotics  Victor Guillemin and Shlomo Sternberg Hyperbolic Partial Differential Equations and Geometric Optics  Jeffrey Rauch  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 classicalquantum (particlewave) correspondence. These techniques include such wellknown tools as geometric optics and the WentzelKramersBrillouin 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. Request an examination or desk copy. Readership Graduate students and research mathematicians interested in semiclassical and microlocal methods in partial differential equations. Reviews "...an excellent and selfcontained introduction to the semiclassical and microlocal methods in the study of PDEs."  Zentralblatt MATH 


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