Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase (Classic Reprint) - Softcover
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Excerpt from Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase
To obtain such a result Van Kampen[h] applied the method of stationary phase, originally developed for single integrals, in a purely formal manner. It is clear from the formal uses of the method of stationary phase that the asymptotic series representation of (l) is a sum of asymptotic series determined by the behavior of f(x,y) in the neighborhood of certain critical points of the domain D of integra tion.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase was written by Douglas S. Jones and Morris Kline in 1956. This is a 62 page book, containing 13193 words and 14 pictures. Search Inside is enabled for this title. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of asymptotic expansion of multiple integrals, a complex mathematical concept that holds significant implications for fields like diffraction theory in optics and microwave problems. The author takes a unique approach by reducing the evaluation of these integrals to a more manageable problem of evaluating single Fourier integrals. This simplification allows for a more streamlined analysis of the asymptotic behavior of the integral, which is particularly crucial when dealing with situations involving small wavelengths or large values of k, a parameter frequently encountered in physical applications. The book's exploration of asymptotic expansion is not merely a theoretical exercise. It presents a clear link between the behavior of contour lines, represented by the equation f(x,y) = constant, and the critical points within the domain of integration. These contour lines hold direct physical significance, particularly in diffraction optics where they represent the optical distance from a source to a point in the image space. By understanding the interplay between these lines and critical points, the author sheds light on the intricate nature of diffraction phenomena and the contribution of various critical points to the overall behavior of the field. The book's meticulous examination of the mathematical framework and its tangible applications in diverse scientific domains makes it an invaluable resource for anyone interested in understanding the depths of asymptotic analysis and its practical implications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332102518_0
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Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332102518
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Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase Classic Reprint
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