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wyszukanych pozycji: 9
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A Theory of Branched Minimal Surfaces
ISBN: 9783642435201 / Angielski / Miękka / 2014 / 194 str. Termin realizacji zamówienia: ok. 20 dni roboczych. 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 original line of attack initiated by Jesse Douglas in his Fields medal work in 1931, namely use Dirichlet's energy as opposed to area. Remarkably, the author shows how to calculate arbitrarily high orders of derivatives of Dirichlet's energy defined...
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. d...
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cena:
191,40 zł |
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A Theory of Branched Minimal Surfaces
ISBN: 9783642256196 / Angielski / Twarda / 2012 / 194 str. Termin realizacji zamówienia: ok. 20 dni roboczych. This book shows how to calculate arbitrarily high orders of derivatives of the Douglas Energy defined on the infinite dimensional manifold of all surfaces spanning a contour, breaking new ground in the Calculus of Variations.
This book shows how to calculate arbitrarily high orders of derivatives of the Douglas Energy defined on the infinite dimensional manifold of all surf...
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cena:
191,40 zł |
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Teichmüller Theory in Riemannian Geometry
ISBN: 9783764327354 / Angielski / Miękka / 1992 / 220 str. Termin realizacji zamówienia: ok. 20 dni roboczych. These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of our colleagues have encouraged us to publish our approach to the subject in a concise format, easily accessible to a broad mathematical audience. However, it was the invitation by the faculty of the ETH Ziirich to deliver the ETH N achdiplom-Vorlesungen on this material which provided the opportunity for the author to develop our research papers into a format suitable for mathematicians with a modest background in differential geometry....
These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then ...
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cena:
229,69 zł |
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The Parsimonious Universe: Shape and Form in the Natural World
ISBN: 9781461275329 / Angielski / Miękka / 2012 / 330 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating striking full-color illustrations, the authors describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the principles underlying the shape of natural forms. But can one set of laws account for both the symmetry and irregularity as well as the infinite variety of nature's designs? A complete answer to this question is likely never to be discovered. Yet, it is fascinating to see how the search for some...
Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating strik...
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cena:
287,12 zł |
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Global Analysis of Minimal Surfaces
ISBN: 9783642265334 / Angielski / Miękka / 2012 / 537 str. Termin realizacji zamówienia: ok. 20 dni roboczych. 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 free boundaries. Here one of the main features is the possibility of "edge-crawling" along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular...
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....
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cena:
497,71 zł |
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Regularity of Minimal Surfaces
ISBN: 9783642265211 / Angielski / Miękka / 2012 / 623 str. Termin realizacji zamówienia: ok. 20 dni roboczych. 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 to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for...
Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundar...
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cena:
574,29 zł |
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Basic Multivariable Calculus
ISBN: 9780387979762 / Angielski / Twarda / 1993 / 540 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Basic Multivariable Calculus fills the need for a student-oriented text devoted exclusively to the third-semester course in multivariable calculus. In this text, the basic algebraic, analytic, and geometric concepts of multivariable and vector calculus are carefully explained, with an emphasis on developing the student's intuitive understanding and computational technique. A wealth of figures supports geometrical interpretation, while exercise sets, review sections, practice exams, and historical notes keep the students active in, and involved with, the mathematical ideas. All necessary...
Basic Multivariable Calculus fills the need for a student-oriented text devoted exclusively to the third-semester course in multivariable calculus. In...
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cena:
248,84 zł |
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Regularity of Minimal Surfaces
ISBN: 9783642116995 / Angielski / Twarda / 2010 / 623 str. Termin realizacji zamówienia: ok. 20 dni roboczych. This is the second of a three-volume treatise on minimal surfaces. It deals with basic regularity results for minimal surfaces concerning their boundary behavior at Plateau boundaries and free boundaries.
This is the second of a three-volume treatise on minimal surfaces. It deals with basic regularity results for minimal surfaces concerning their bounda...
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cena:
574,29 zł |
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Minimal Surfaces
ISBN: 9783642117152 / Angielski / Book / 2010 / 1910 str. Termin realizacji zamówienia: ok. 20 dni roboczych. The three-volume treatise consists of the volumes Minimal Surfaces (GL 339), Regularity of Minimal Surfaces (GL 340), and Glolbal Theory of Minimal Surfaces (GL 341) that replace the monograph Minimal Surfaces I, II, published as volumes 295 and 296 of the Grundlehren der mathematischen Wissenschaft series. Ther first volume covers the classical theory as well as existence results concerning boundary value problems for minimal surfaces, in particular results for Plateau's problem. The second volume deals with basic regularity results for minimal... The three-volume treatise consists of the volumes Minimal Surfaces (GL 339), Regularity of Minimal Surfaces (GL 340), and Glolbal ... |
cena:
765,72 zł |
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