|Preface||Preview Material||Table of Contents||Index||Supplementary Material|| || |
Graduate Studies in Mathematics
2012; 431 pp; hardcover
List Price: US$75
Member Price: US$60
Order Code: GSM/138
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 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.
Graduate students and research mathematicians interested in semiclassical and microlocal methods in partial differential equations.
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