The Theory of Potential and Spherical Harmonics
Author : Wolfgang Sternberg
Publisher :
Page : 0 pages
File Size : 27,46 MB
Release : 1964
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ISBN :
Author : Wolfgang Sternberg
Publisher :
Page : 0 pages
File Size : 27,46 MB
Release : 1964
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ISBN :
Author : Wolfgang J. Sternberg
Publisher :
Page : 332 pages
File Size : 44,32 MB
Release : 1952
Category : Harmonic analysis
ISBN :
Author : Wolfgang J B 1887 Sternberg
Publisher : Hassell Street Press
Page : 332 pages
File Size : 21,16 MB
Release : 2021-09-09
Category :
ISBN : 9781013876356
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Wolfgang J. STERNBERG (and SMITH (Turner Linn))
Publisher :
Page : pages
File Size : 16,40 MB
Release : 1946
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ISBN :
Author : Wolfgang J. Sternberg
Publisher :
Page : 0 pages
File Size : 48,90 MB
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Category : Potential theory (Mathematics)
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Author : Wolfgang J.. Sternberg
Publisher :
Page : 312 pages
File Size : 33,15 MB
Release : 1946
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ISBN :
Author : Oliver Dimon Kellogg
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 18,20 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642867480
The present volume gives a systematic treatment of potential functions. It takes its origin in two courses, one elementary and one advanced, which the author has given at intervals during the last ten years, and has a two-fold purpose: first, to serve as an introduction for students whose attainments in the Calculus include some knowledge of partial derivatives and multiple and line integrals; and secondly, to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications, or to the periodical literature of the day. It is inherent in the nature of the subject that physical intuition and illustration be appealed to freely, and this has been done. However, that the book may present sound ideals to the student, and in order also serve the mathematician, both for purposes of reference and as a basis for further developments, the proofs have been given by rigorous methods. This has led, at a number of points, to results either not found elsewhere, or not readily accessible. Thus, Chapter IV contains a proof for the general regular region of the divergence theorem (Gauss', or Green's theorem) on the reduction of volume to surface integrals. The treatment of the fundamental existence theorems in Chapter XI by means of integral equations meets squarely the difficulties incident to ·the discontinuity of the kernel, and the same chapter gives an account of the most recent developments with respect to the Dirichlet problem.
Author : E. W. Hobson
Publisher : CUP Archive
Page : 520 pages
File Size : 23,17 MB
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Author : Richard J. Blakely
Publisher : Cambridge University Press
Page : 468 pages
File Size : 30,72 MB
Release : 1996-09-13
Category : Mathematics
ISBN : 9780521575478
This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.
Author : William F. Isherwood
Publisher :
Page : 0 pages
File Size : 22,32 MB
Release : 1963
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ISBN :