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Minimal Surfaces II
Ulrich Dierkes
Stefan Hildebrandt
Albrecht Küster
Ortwin Wohlrab
其他書名
Boundary Regularity
出版
Springer Science & Business Media
, 2013-03-14
主題
Mathematics / Geometry / Differential
Science / System Theory
Mathematics / Calculus
Science / Physics / Mathematical & Computational
Mathematics / Geometry / General
Language Arts & Disciplines / Library & Information Science / General
Mathematics / Functional Analysis
ISBN
3662087766
9783662087763
URL
http://books.google.com.hk/books?id=y_3uCAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation 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 also be 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 for nonlinear 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.