Minimal Surfaces (Grundlehren Der Mathematischen Wissenschaften)

افزودن به بوکمارک اشتراک گذاری 0 دیدگاه کاربران 5 (0)

مشارکت: عنوان و توضیح کوتاه هر کتاب را ترجمه کنید این ترجمه بعد از تایید با نام شما در سایت نمایش داده خواهد شد.

ترجمه این کتاب مشاهده همه کتاب های ترجمه نشده

از خودتان درباره کتاب توضیح کوتاهی بنویسید

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 I, II (Grundlehren Nr. 295 & 296). The first volume begins with an exposition of basic ideas of the theory of surfaces in three-dimensional Euclidean space, followed by an introduction of minimal surfaces as stationary points of area, or equivalently, as surfaces of zero mean curvature. The final definition of a minimal surface is that of a non-constant harmonic mapping X: \Omega\to\R DEGREES3 which is conformally parametrized on \Omega\subset\R DEGREES2 and may have branch points. Thereafter the classical theory of minimal surfaces is surveyed, comprising many examples, a treatment of Bjorlings initial value problem, reflection principles, a formula of the second variation of area, the theorems of Bernstein, Heinz, Osserman, and Fujimoto. The second part of this volume begins with a survey of Plateaus problem and of some of its modifications. One of the main features is a new, completely elementary proof of the fact that area A and Dirichlet integral D have the same infimum in the class C(G) of admissible surfaces spanning a prescribed contour G. This leads to a new, simplified solution of the simultaneous problem of minimizing A and D in C(G), as well as to new proofs of the mapping theorems of Riemann and Korn-Lichtenstein, and to a new solution of the simultaneous Douglas problem for A and D where G consists of several closed components. Then basic facts of stable minimal surfaces are derived; this is done in the context of stable H-surfaces (i.e. of stable surfaces of prescribed mean curvature H), especially of cmc-surfaces (H = const), and leads to curvature estimates for stable, immersed cmc-surfaces and to Nitsches uniqueness theorem and Tomis finiteness result. In addition, a theory of unstable solutions of Plateaus problems is developed which is based on Courants mountain pass lemma. Furthermore, Dirichlets problem for nonparametric H-surfaces is solved, using the solution of Plateaus problem for H-surfaces and the pertinent estimates."

لغو

گزارش تخلف

مغایرت عنوان کتاب با توضیحات و تصویر جلد
عدم رعایت حقوق نشر طبق قوانین جمهوری اسلامی ایران
محتوای مستهجن
توهین به قومیتها و محتوای نژادپرستی
توهین به اقیلیتهای مذهبی
اهانت به مقامات سیاسی و مذهبی
اشاعه ی کودک آزاری
سایر موارد

بستن

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2010

نویسنده

Ruben Jakob

ناشر

Springer

شابک

9783642116971

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Minimal Surfaces (Grundlehren Der Mathematischen Wissenschaften)

Minimal Surfaces (Grundlehren Der Mathematischen Wissenschaften)

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2010

نویسنده

ناشر

شابک

کتاب های مرتبط

Riemann-Roch Algebra

Die gruppentheoretische Methode in der Quantenmechanik

Minimal surfaces. I, Boundary value problems

Nevanlinna theory in several complex variables and diophantine approximation

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

Elliptic modular functions : an introduction

Theorie der Differentialgleichungen

Elements de Géometrie algébrique I

Variational Analysis And Generalized Differentiation II

Variational analysis and generalized differentiation

Categories and sheaves

Multidimensional Diffusion Processes

Function theory in the unit ball of [complex field, superscript n]

Optimal transport

Shock Waves and Reaction--Diffusion Equations

The analysis of linear partial differential operators

Minimal Surfaces (Grundlehren Der Mathematischen Wissenschaften)

Regularity of Minimal Surfaces (Grundlehren Der Mathematischen Wissenschaften)

Global Analysis Of Minimal Surfaces (Grundlehren Der Mathematischen Wissenschaften)

Vorlesungen über höhere Geometrie.

P Adic Lie Groups (Grundlehren Der Mathematischen Wissenschaften)

دیدگاه کاربران