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

Jones, Douglas S.

9781332102518: Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase (Classic Reprint)

Couverture souple

ISBN 10 : 1332102514 ISBN 13 : 9781332102518

Editeur : Forgotten Books, 2018

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This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332102514
ISBN 13: 9781332102518
Reliure: Broch�
Nombre de pages: 60
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase

Douglas S. Jones, Morris Kline

Edit� par Forgotten Books, 2018

ISBN 10 : 1332102514 ISBN 13 : 9781332102518

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : 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. N� de r�f. du vendeur 9781332102518_0

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