The Theory of Potential and Spherical Harmonics. Revised PDF Download

Author: Wolfgang J.. Sternberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 312

View

Book Description

Author: Wolfgang J. STERNBERG (and SMITH (Turner Linn))
Publisher:
ISBN:
Category :
Languages : en
Pages :

View

Book Description

Author: Wolfgang J B 1887 Sternberg
Publisher: Hassell Street Press
ISBN: 9781013876356
Category :
Languages : en
Pages : 332

View

Book Description
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
Publisher:
ISBN:
Category :
Languages : en
Pages : 312

View

Book Description

Author: Wolfgang J. Sternberg
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 332

View

Book Description

Author: Oliver Dimon Kellogg
Publisher: Courier Corporation
ISBN: 9780486601441
Category : Science
Languages : en
Pages : 404

View

Book Description
Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.

Author: Wolfgang J. Sternberg
Publisher:
ISBN:
Category : Potential theory (Mathematics)
Languages : en
Pages : 0

View

Book Description

Author: Oliver Dimon Kellogg
Publisher: Springer Science & Business Media
ISBN: 3642867480
Category : Mathematics
Languages : en
Pages : 395

View

Book Description
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: Willi Freeden
Publisher: Birkhäuser
ISBN: 3319571818
Category : Mathematics
Languages : en
Pages : 938

View

Book Description
Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.

Author: Friedrich Sauvigny
Publisher: Springer Science & Business Media
ISBN: 1447129814
Category : Mathematics
Languages : en
Pages : 459

View

Book Description
This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated: • integration and differentiation on manifolds • foundations of functional analysis • Brouwer's mapping degree • generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.