Items related to Foundations of Modern Potential Theory
For a long time potential theory was necessarily viewed as only another chapter of mathematical physics. Developing in close connection with the theory of boundary-value problems for the Laplace operator, it led to the creation of the mathematical apparatus of potentials of single and double layers; this was adequate for treating problems involving smooth boundaries. A. M. Lyapunov is to be credited with the rigorous analysis of the properties of potentials and the possibilities for applying them to the 1 solution of boundary-value problems. The results he obtained at the end of the 19th century later received a more detailed and sharpened exposition in the book by N. M. Gunter, published in Paris in 1934 and 2 in New York 1967 with additions and revisions. Of fundamental significance to potential theory also was the work of H. Poincare, especially his method of sweeping out mass (balayage). At the beginning of the 20th century the work of S. Zaremba and especially of H. Lebesgue attracted the attention of mathematicians to the unsolvable cases of the classical Dirichlet problem. Through the efforts of O. Kellogg, G. Bouligand, and primarily N. Wiener, by the middle of the 20th century the problem of characterizing the so-called irregular points of the boundary of a region (i. e. the points at which the continuity of the solution of the Dirichlet problem may be violated) was completely solved and a procedure to obtain a generalized solution to the Dirichlet problem was described.
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- PublisherSpringer-Verlag New York Inc.
- Publication date1973
- ISBN 10 0387053948
- ISBN 13 9780387053943
- BindingHardcover
- Number of pages424
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Foundations of Modern Potential Theory
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Foundations of Modern Potential Theory.
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Berlin: Springer
(1973)
ISBN 10: 0387053948
ISBN 13: 9780387053943
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Book Description Hardcover. Condition: Very Good. x 424p hardback, bright yellow cloth binding, dustjacket present with minor soiling, a bright and virtually un-used copy, note to last page stating when and where the book was purchased (from Lords Bridge South Site Cambridge Market(?) on 2 June 2010) Language: English Weight (g): 950. Seller Inventory # 205508
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Foundations of Modern Potential Theory (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 180)
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Book Description Hardcover. Condition: Acceptable. Acceptable. book. Seller Inventory # D7S9-1-M-0387053948-4
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Foundations of Modern Potential Theory
Published by
Springer-Verlag
(1972)
ISBN 10: 0387053948
ISBN 13: 9780387053943
Used
Hardcover
Quantity: 1
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Book Description Hard Cover. Condition: Good. No Jacket. BOOK: Previous Owner Markings; Repaired Rear Hinge; Corners, Spine Boards Bumped; Light Shelf Rub to Boards; Spine Slightly Cocked; Boards, Edges Moderately Soiled; Slight Yellowing Due to Age. DUST JACKET: None. SELLER'S NOTE TO INTERNATIONAL (NON CANADA OR USA) BUYERS: Additional shipping charges will be required and requested during the purchase process of this title. SUB-TITLE: Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Band 180. ALSO KNOWN AS: Title of the Russian Original Edition: Osnovy sovremennoi teorii potenciala. Publisher: "Nauka", Moscow 1966. TRANSLATED FROM THE RUSSIAN BY: A. P. Doohovskoy. GESCHAFTSFUHRENDE HERAUSGEBER: B. Eckmann, Eidgenossische Technische Hochschule Zurich; B. L. van der Waerden. Mathematisches Institut der Universitat Zurich. CONTENTS: Introduction; Chapter I. Potentials and their basic properties; Chapter II. Capacity and equilibrium measure; Chapter III. Sets of capacity zero. Sequences and bounds for potentials; Chapter IV. Balayage, Green functions, and the Dirichlet problem; Chapter V. Irregular points; Chapter VI. Generalizations; Appendix; Comments and bibliographic references; Bibliography; Index. AMS SUBJECT CLASSIFICATIONS (1970): Primary - 31-02, 31AXX, 31BXX, 31C05, 31C15, 31C25, 30A44, 46F10; Secondary - 28A10, 41A30, 42A88, 42A96, 46F99, 35J25. EXCERPT: Preface - . . . However, at the present time there is no monograph on potential theory which at a sufficiently modern level presents the "analytic" part of the theory relating to concrete kernels. This book attempts to eradicate that deficiency in the literature . . . Size: 8vo - over 7¾" - 9¾" tall. Seller Inventory # 003008
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Foundations of Modern Potential Theory
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(1972)
ISBN 10: 0387053948
ISBN 13: 9780387053943
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Book Description Condition: Good. Dust Jacket Condition: Good. First Edition. Springer Verlag, 1972. First edition; dustjacket, now in Brodart cover, lightly rubbed/soiled, very rubbed along fore-edge of front panel, corners very lightly rubbed/bumped, 2 very small closed tears on top edge near spine, 1 small and 1 tiny closed tear on bottom edge of front panel, spine lightly sunned/age-toned, spine ends faintly rubbed/bumped; cover faintly soiled, bottom edge of front board faintly bumped; text block edges faintly soiled/foxed; faint erasures of ffep; binding tight; dustjacket, cover, edges, and interior intact and clean except as noted. First Edition. hardcover. Good/Good. Seller Inventory # 623398
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