TY - BOOK ID - 145705668 TI - Dirichlet's principle, conformal mapping, and minimal surfaces AU - Courant, Richard AU - Schiffer, Menahem PY - 2005 SN - 0486445526 PB - Mineola, N.Y. : Dover Publications, DB - UniCat KW - Surfaces, Representation of. KW - Représentation des surfaces KW - Differential equations, Elliptic KW - Dirichlet problem KW - Équations différentielles elliptiques KW - Dirichlet, Problème de KW - Représentation des surfaces KW - Équations différentielles elliptiques KW - Dirichlet, Problème de UR - https://www.unicat.be/uniCat?func=search&query=sysid:145705668 AB - Mathematical development, the author of this text observes, comes about through specific, easily understood problems that require difficult solutions and demand the use of new methods. Richard Courant employs this instructive approach in a text that balances the individuality of mathematical objects with the generality of mathematical methods. Beginning with a discussion of Dirichlet's principle and the boundary-value problem of potential theory, the text proceeds to examinations of conformal mapping on parallel-slit domains and Plateau's problem. Succeeding chapters explore the general problem of Douglas and conformal mapping of multiply connected domains, concluding with a survey of minimal surfaces with free boundaries and unstable minimal surfaces -- 4e de couverture ER -