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Minimal surfaces

  • A Theory of Branched Minimal Surfacesby Anthony Tromba

    Springer 2012; US$ 99.00

    One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.e. does its derivative have maximal rank everywhere. The purpose of this monograph is to present an elementary proof of this very fundamental and beautiful mathematical result. The exposition follows the... more...

  • Classi caratteristiche e questioni connesseby E Martinelli

    Springer 2011; US$ 39.95

    I. Bucur: L anneau de Chow d une vari t alg brique.- E. Eckmann: Cohomologie et classes caract ristiques.- C. Teleman: Sur le caract re de Chern d un fibr vectoriel complexe diff rentiable.- E. Thomas: Characteristic classes and differentiable manifolds.- A. Van de Ven: Chern classes and complex manifolds. more...

  • Minimal Surfacesby Ulrich Dierkes; Stefan Hildebrandt; Friedrich Sauvigny; Ruben Jakob; Albrecht Kuster

    Springer 2010; US$ 129.00

    "Minimal Surfaces" is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr. 339-341). Each volume can be read and studied independently of the others. The central theme is boundary value problems for minimal surfaces. The treatise is a substantially revised and extended version of the monograph Minimal Surfaces... more...

  • Regularity of Minimal Surfacesby Ulrich Dierkes; Stefan Hildebrandt; Anthony J. Tromba; Albrecht Kuster

    Springer 2010; US$ 129.00

    "Regularity of Minimal Surfaces" begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading... more...

  • Global Analysis of Minimal Surfacesby Ulrich Dierkes; Stefan Hildebrandt; Anthony J. Tromba

    Springer 2010; US$ 99.00

    Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially... more...

  • The Problem of Plateauby Thermistocles M. Rassias

    World Scientific Publishing Company 1992; US$ 273.00

    This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Radó. The contributing papers provide insight and perspective on various problems in modern topics of Calculus... more...

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