CURRENTLY SOLD OUT

Minimal Surfaces by Friedrich Sauvigny, Stefan Hildebrandt, Ulrich Dierkes (Paperback, 2012)

About this product

Product Information

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 mograph 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 nconstant harmonic mapping X: \Omega o\R^3 which is conformally parametrized on \Omega\subset\R^2 and may have branch points. Thereafter the classical theory of minimal surfaces is surveyed, comprising many examples, a treatment of Bjorling's 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 Plateau's 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 Nitsche's uniqueness theorem and Tomi's finiteness result. In addition, a theory of unstable solutions of Plateau's problems is developed which is based on Courant's mountain pass lemma. Furthermore, Dirichlet's problem for nparametric H-surfaces is solved, using the solution of Plateau's problem for H-surfaces and the pertinent estimates.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg, Springer-Verlag Berlin and Heidelberg Gmbh & Co. K
ISBN-10
3642265278
ISBN-13
9783642265273
eBay Product ID (ePID)
139956952

Product Key Features

Author
Friedrich Sauvigny, Stefan Hildebrandt, Ulrich Dierkes
Format
Paperback
Language
English
Subject
Mathematics
Type
Textbook

Dimensions

Weight
1068g
Height
235mm
Width
155mm

Additional Product Features

Place of Publication
Berlin
Spine
36mm
Series Part/Volume Number
339
Series Title
Grundlehren Der Mathematischen Wissenschaften
Content Note
140 Black & White Illustrations, 9 Colour Illustrations, Biography
Date of Publication
01/12/2012
Edition Statement
2nd Revised Edition
Genre
Mathematics
Country of Publication
Germany

Best Selling in Adult Learning & University

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)
No ratings or reviews yet.
AU $101.98 New
---- Used
Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)
No ratings or reviews yet.
AU $53.04 New
AU $45.00 Used

Save on Adult Learning & University

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Save on Adult Learning & University

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A
AU $19.95
Trending at AU $20.60
Netter Atlas of Human Anatomy: Classic Regional Approach
AU $113.94
Trending at AU $121.83
Michael Nehls The Indoctrinated Brain (Hardback) (US IMPORT)
AU $59.80
Trending at AU $63.46
Bill Perkins Die With Zero (Paperback)
AU $30.04
Trending at AU $32.49
Havard's Nursing Guide to Drugs
AU $74.99
Trending at AU $76.54
Nelson Senior Maths 11 Mathematics Essential Student Book with 1 Access Code for
AU $84.49
Trending at AU $85.68

Shop by category

Minimal Surfaces by Friedrich Sauvigny, Stefan Hildebrandt, Ulrich Dierkes (Paperback, 2012)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Nehls The Indoctrinated Brain (Hardback) (US IMPORT)

Bill Perkins Die With Zero (Paperback)

Havard's Nursing Guide to Drugs

Nelson Senior Maths 11 Mathematics Essential Student Book with 1 Access Code for

You may also like

Paperback Calendars (Current)

Australian Paperbacks

Paperback Books, Comics & Magazines

Paperback Textbooks

Vintage Paperback Paperback Books, Comics & Magazines

Paperback Fiction Books