Author | Dierkes, Ulrich. author |
---|---|

Title | Minimal Surfaces I [electronic resource] : Boundary Value Problems / by Ulrich Dierkes, Stefan Hildebrandt, Albrecht Kรผster, Ortwin Wohlrab |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992 |

Connect to | http://dx.doi.org/10.1007/978-3-662-02791-2 |

Descript | XIII, 508 p. 383 illus., 27 illus. in color. online resource |

SUMMARY

Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can alsobe useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory fornonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature

Mathematics
System theory
Differential geometry
Calculus of variations
Physics
Mathematics
Differential Geometry
Systems Theory Control
Calculus of Variations and Optimal Control; Optimization
Theoretical Mathematical and Computational Physics