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Four New Theorems In Harmonic Potential Theory
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Author :UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER. Publisher : ISBN 13 : Total Pages :39 pages Book Rating :4.:/5 (131 download)
Book Synopsis FOUR NEW THEOREMS IN HARMONIC POTENTIAL THEORY. MIXED BOUNDARY-VALUE PROBLEMS IN R WHEN IT IS GREATER THAN OR EQUAL TO 0, Z WHEN IT IS GREATER THAN OR EQUAL TO 0 by : UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Download or read book FOUR NEW THEOREMS IN HARMONIC POTENTIAL THEORY. MIXED BOUNDARY-VALUE PROBLEMS IN R WHEN IT IS GREATER THAN OR EQUAL TO 0, Z WHEN IT IS GREATER THAN OR EQUAL TO 0 written by UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER. and published by . This book was released on with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Four New Theorems in Harmonic Potential Theory by : George W. Swan
Download or read book Four New Theorems in Harmonic Potential Theory written by George W. Swan and published by . This book was released on 1972 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four new theorems are presented which enable one to obtain in a systematic manner the explicit solution to some mixed boundary-value problems in harmonic potential theory for the region r>or=0, z>or=0. These theorems obviate the necessity for solving dual integral equations. (Author).
Book Synopsis Three New Theorems in Harmonic Potential Theory by : George W. Swan
Download or read book Three New Theorems in Harmonic Potential Theory written by George W. Swan and published by . This book was released on 1971 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Potential Theory by : Oliver Dimon Kellogg
Download or read book Foundations of Potential Theory written by Oliver Dimon Kellogg and published by Courier Corporation. This book was released on 1953-01-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Potential Theory by : Masanori Kishi
Download or read book Potential Theory written by Masanori Kishi and published by Walter de Gruyter. This book was released on 2011-05-02 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Foundations of Potential Theory by : Oliver Dimon Kellogg
Download or read book Foundations of Potential Theory written by Oliver Dimon Kellogg and published by Barman Press. This book was released on 1929 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: FOUNDATIONS OF POTENTIAL THEORY by OLIVER DIMON KELLOGG. Originally published in 1929. Preface: 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, in order that the ok may present sound ideals to the student, and also serve the ma pmatician, 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 Greens 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 Pirichlet problem. Exercises are introduced in the conviction that no mastery of a mathematical subject is possible without working with it. They are designed primarily to illustrate or extend the theory, although the desirability of requiring an occasional concrete numerical result has not been lost sight of. O. D. Kellogg. August, 1929. Contents include: Chapter 1. The Force of Gravity. 1. The Subject Matter of Potential Theory 1 2. Newtons Law 2 3. Interpretation of Newtons Law for Continuously Distributed Bodies . 3 4. Forces Due to Special Bodies 4 5. Material Curves, or Wires 8 6 Material Surfaces or Lammas 10 7. Curved Lammas 12 8. Ordinary Bodies, or Volume Distributions 15 9 The Force at Points of the Attracting Masses 17 10. Legitimacy of the Amplified Statement of Newtons Law Attraction between Bodies 22 11. Presence of the Couple Centrobaric Bodies Specific Force 26 Chapter II. Fields of Force. 1. Fields of Force and Other Vector Fields 28 2. Lines of Force 28 3. Velocity Fields 31 4. Expansion, or Divergence of a Field 34 5. The Divergence Theorem 37 6. Flux of Force Solenoidal Fields 40 7. Gauss Integral 42 8. Sources and Sinks 44 9. General Flows of Fluids Equation of Continuity 45 Chapter III The Potential. 1. Work and Potential Energy 48 2 Equipotential Surfaces 54 3. Potentials of Special Distributions 55 4. The Potential of a Homogeneous Circumference 58 5. Two Dimensional Problems The Logarithmic Potential 62 6. Magnetic Particles 65 7. Magnetic Shells, or Double Distributions 66 8. Irrotational Flow 69 . Stokes Theorem 72 10. Flow of Heat 76 11. The Energy of Distributions 79 12...
Book Synopsis Government Reports Announcements by :
Download or read book Government Reports Announcements written by and published by . This book was released on 1974 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Three New Theorems in Harmonic Potential Theory. Mixed Boundary-Value Problems in R Greater Than Or Equal to 0, Z Greater Than Or Equal to 0 by : G. W. Swan
Download or read book Three New Theorems in Harmonic Potential Theory. Mixed Boundary-Value Problems in R Greater Than Or Equal to 0, Z Greater Than Or Equal to 0 written by G. W. Swan and published by . This book was released on 1971 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three new theorems are presented which state the form of solution to some mixed boundary-value problems in axially-symmetric harmonic potential theory for the region r> or = 0, z> or = 0. These theorems may provide a powerful tool for the solution of such problems and provide alternative methods for solving dual integral equations. Applications of the theory are discussed. (Author).
Book Synopsis Classical Potential Theory and Its Probabilistic Counterpart by : J. L. Doob
Download or read book Classical Potential Theory and Its Probabilistic Counterpart written by J. L. Doob and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: Potential theory and certain aspects of probability theory are intimately related, perhaps most obviously in that the transition function determining a Markov process can be used to define the Green function of a potential theory. Thus it is possible to define and develop many potential theoretic concepts probabilistically, a procedure potential theorists observe withjaun diced eyes in view of the fact that now as in the past their subject provides the motivation for much of Markov process theory. However that may be it is clear that certain concepts in potential theory correspond closely to concepts in probability theory, specifically to concepts in martingale theory. For example, superharmonic functions correspond to supermartingales. More specifically: the Fatou type boundary limit theorems in potential theory correspond to supermartingale convergence theorems; the limit properties of monotone sequences of superharmonic functions correspond surprisingly closely to limit properties of monotone sequences of super martingales; certain positive superharmonic functions [supermartingales] are called "potentials," have associated measures in their respective theories and are subject to domination principles (inequalities) involving the supports of those measures; in each theory there is a reduction operation whose properties are the same in the two theories and these reductions induce sweeping (balayage) of the measures associated with potentials, and so on.
Book Synopsis Government Reports Announcements by :
Download or read book Government Reports Announcements written by and published by . This book was released on 1972 with total page 1580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis MRC Technical Summary Report by : United States. Army. Mathematics Research Center
Download or read book MRC Technical Summary Report written by United States. Army. Mathematics Research Center and published by . This book was released on 1976 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Analysis and Discrete Potential Theory by : M.A. Picardello
Download or read book Harmonic Analysis and Discrete Potential Theory written by M.A. Picardello and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the Proceedings of a Congress held in Frascati (Rome) in the period July 1 -July 10, 1991, on the subject of harmonic analysis and discrete potential theory, and related topics. The Congress was made possible by the financial support of the Italian National Research Council ("Gruppo GNAFA"), the Ministry of University ("Gruppo Analisi Funzionale" of the University of Milano), the University of Rome "Tor Vergata", and was also patronized by the Centro "Vito Volterra" of the University of Rome "Tor Vergata". Financial support for publishing these Proceedings was provided by the University of Rome "Tor Vergata", and by a generous contribution of the Centro "Vito Volterra". I am happy of this opportunity to acknowledge the generous support of all these Institutions, and to express my gratitude, and that of all the participants. A number of distinguished mathematicians took part in the Congress. Here is the list of participants: M. Babillot, F. Choucroun, Th. Coulhon, L. Elie, F. Ledrappier, N. Th. Varopoulos (Paris); L. Gallardo (Brest); Ph. Bougerol, B. Roynette (Nancy); O. Gebuhrer (Strasbourg); G. Ahumada-Bustamante (Mulhouse); A. Valette (Neuchatel); P. Gerl (Salzburg); W. Hansen, H. Leptin (Bielefeld); M. Bozejko, A. Hulanicki, T. Pytlik (Wroclaw); C. Thomassen (Lyngby); P. Sjogren (Goteborg); V. Kaimanovich (Leningrad); A. Nevo (Jerusalem); T. Steger (Chicago); S. Sawyer, M. Taibleson, G. Weiss (St. Louis); J. Cohen, S.S ali ani (Maryland); D. Voiculescu (Berkeley); A. Zemanian (Stony Brook); S. Northshield (Plattsburgh); J. Taylor (Montreal); J
Book Synopsis Potential Theory - ICPT 94 by : Josef Kral
Download or read book Potential Theory - ICPT 94 written by Josef Kral and published by Walter de Gruyter. This book was released on 2011-10-13 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Classical and Modern Potential Theory and Applications by : K. GowriSankaran
Download or read book Classical and Modern Potential Theory and Applications written by K. GowriSankaran and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1974 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Potential Theory by : Oliver Dimon Kellogg
Download or read book Foundations of Potential Theory written by Oliver Dimon Kellogg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Government Reports Index written by and published by . This book was released on 1972 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt:
