The Motion of a Surface by Its Mean Curvature. (MN-20) / / Kenneth A. Brakke.
Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to d...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1978 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Mathematical Notes ;
20 |
| Online Access: | |
| Physical Description: | 1 online resource (258 p.) |
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| LEADER | 08391nam a22020535i 4500 | ||
|---|---|---|---|
| 001 | 9781400867431 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20151978nju fo d z eng d | ||
| 019 | |a (OCoLC)984651870 | ||
| 019 | |a (OCoLC)987933901 | ||
| 019 | |a (OCoLC)992453916 | ||
| 019 | |a (OCoLC)999355333 | ||
| 020 | |a 9781400867431 | ||
| 024 | 7 | |a 10.1515/9781400867431 |2 doi | |
| 035 | |a (DE-B1597)454103 | ||
| 035 | |a (OCoLC)979759270 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA312 | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516/.1 |
| 100 | 1 | |a Brakke, Kenneth A., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Motion of a Surface by Its Mean Curvature. (MN-20) / |c Kenneth A. Brakke. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2015] | |
| 264 | 4 | |c ©1978 | |
| 300 | |a 1 online resource (258 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Mathematical Notes ; |v 20 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Table of Contents -- |t 1. Introduction -- |t 2. Preliminaries -- |t 3. Motion by mean curvature -- |t 4. Existence of varifolds moving by their mean curvature -- |t 5. Perpendicularity of mean curvature -- |t 6. Regularity -- |t Appendices -- |t Appendix A: Grain growth in metals -- |t Appendix B: Curves in R2 -- |t Appendix C: Curves of constant shape -- |t Appendix D: Density bounds and rectiflability -- |t Figure captions -- |t Figures -- |t References |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.Originally published in 1978.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Curvature. | |
| 650 | 0 | |a Geometric measure theory. | |
| 650 | 0 | |a Surfaces. | |
| 650 | 7 | |a MATHEMATICS / Geometry / General. |2 bisacsh | |
| 653 | |a Affine transformation. | ||
| 653 | |a Approximation. | ||
| 653 | |a Asymptote. | ||
| 653 | |a Barrier function. | ||
| 653 | |a Besicovitch covering theorem. | ||
| 653 | |a Big O notation. | ||
| 653 | |a Bounded set (topological vector space). | ||
| 653 | |a Boundedness. | ||
| 653 | |a Calculation. | ||
| 653 | |a Cauchy-Schwarz inequality. | ||
| 653 | |a Characteristic function (probability theory). | ||
| 653 | |a Compactness theorem. | ||
| 653 | |a Completing the square. | ||
| 653 | |a Concave function. | ||
| 653 | |a Convex set. | ||
| 653 | |a Convolution. | ||
| 653 | |a Crystal structure. | ||
| 653 | |a Curvature. | ||
| 653 | |a Curve. | ||
| 653 | |a Derivative. | ||
| 653 | |a Diameter. | ||
| 653 | |a Differentiable function. | ||
| 653 | |a Differentiable manifold. | ||
| 653 | |a Differential geometry. | ||
| 653 | |a Dimension. | ||
| 653 | |a Domain of a function. | ||
| 653 | |a Dyadic rational. | ||
| 653 | |a Equivalence relation. | ||
| 653 | |a Estimation. | ||
| 653 | |a Euclidean space. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Exterior (topology). | ||
| 653 | |a First variation. | ||
| 653 | |a Gaussian curvature. | ||
| 653 | |a Geometric measure theory. | ||
| 653 | |a Geometry. | ||
| 653 | |a Grain boundary. | ||
| 653 | |a Graph of a function. | ||
| 653 | |a Grassmannian. | ||
| 653 | |a Harmonic function. | ||
| 653 | |a Hausdorff measure. | ||
| 653 | |a Heat equation. | ||
| 653 | |a Heat kernel. | ||
| 653 | |a Heat transfer. | ||
| 653 | |a Homotopy. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a Hölder's inequality. | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Initial condition. | ||
| 653 | |a Lebesgue measure. | ||
| 653 | |a Lebesgue point. | ||
| 653 | |a Linear space (geometry). | ||
| 653 | |a Lipschitz continuity. | ||
| 653 | |a Mean curvature. | ||
| 653 | |a Melting point. | ||
| 653 | |a Microstructure. | ||
| 653 | |a Monotonic function. | ||
| 653 | |a Natural number. | ||
| 653 | |a Nonparametric statistics. | ||
| 653 | |a Order of integration (calculus). | ||
| 653 | |a Order of integration. | ||
| 653 | |a Order of magnitude. | ||
| 653 | |a Parabolic partial differential equation. | ||
| 653 | |a Paraboloid. | ||
| 653 | |a Partial differential equation. | ||
| 653 | |a Permutation. | ||
| 653 | |a Perpendicular. | ||
| 653 | |a Pointwise. | ||
| 653 | |a Probability. | ||
| 653 | |a Quantity. | ||
| 653 | |a Quotient space (topology). | ||
| 653 | |a Radon measure. | ||
| 653 | |a Regularity theorem. | ||
| 653 | |a Retract. | ||
| 653 | |a Rewriting. | ||
| 653 | |a Riemannian manifold. | ||
| 653 | |a Right angle. | ||
| 653 | |a Second derivative. | ||
| 653 | |a Sectional curvature. | ||
| 653 | |a Semi-continuity. | ||
| 653 | |a Smoothness. | ||
| 653 | |a Subsequence. | ||
| 653 | |a Subset. | ||
| 653 | |a Support (mathematics). | ||
| 653 | |a Tangent space. | ||
| 653 | |a Taylor's theorem. | ||
| 653 | |a Theorem. | ||
| 653 | |a Theory. | ||
| 653 | |a Topology. | ||
| 653 | |a Total curvature. | ||
| 653 | |a Translational symmetry. | ||
| 653 | |a Uniform boundedness. | ||
| 653 | |a Unit circle. | ||
| 653 | |a Unit vector. | ||
| 653 | |a Upper and lower bounds. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Varifold. | ||
| 653 | |a Vector field. | ||
| 653 | |a Weight function. | ||
| 653 | |a Without loss of generality. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Legacy Lib. eBook Package 1931-1979 |z 9783110426847 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Legacy Lib. eBook Package Science |z 9783110413595 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Mathematical Notes eBook-Package 1970-2016 |z 9783110494921 |o ZDB-23-PMN |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2014-2015 |z 9783110665925 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691611518 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400867431 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400867431 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400867431/original |
| 912 | |a 978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science | ||
| 912 | |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979 |c 1931 |d 1979 | ||
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
| 912 | |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015 |c 2014 |d 2015 | ||
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