Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase (Classic Reprint) - Hardcover

Douglas S. Jones

9780266934233: Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase (Classic Reprint)

Hardcover

ISBN 10: 0266934234 ISBN 13: 9780266934233

Publisher: Forgotten Books, 2018

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Unlock the power of advanced math to tame complex integrals.

This practical guide shows how the method of stationary phase can turn hard multi‑variable integrals into a manageable single‑variable problem, with clear steps and real‑world context.

The book explains how to reduce multidimensional integrals to single Fourier integrals, revealing how critical points shape the asymptotic behavior. It blends rigorous theory with practical techniques, highlighting when and why certain points contribute to the final expansion, and how boundary conditions affect the result. Throughout, the emphasis stays on concrete interpretation and usable results for applications in optics and beyond.

Learn the reduction technique from several variables to a single integral
See how contour lines and critical points determine contributions to the expansion
Understand how boundary points influence asymptotic behavior
Discover how to compute coefficients of the expansion and interpret them physically

Ideal for readers who want a solid, applied foundation in asymptotic methods for multiple integrals and their optical applications, without getting lost in abstract formalism.

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