MARC details
000 -LEADER |
fixed length control field |
01839cam a22002657a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
CUTN |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20171206144024.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100803s2010 njua b 001 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9789812814166 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9812814167 (hbk.) |
042 ## - AUTHENTICATION CODE |
Authentication code |
lccopycat |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.36 |
Edition number |
22 |
Item number |
ANM |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
An-Min, Li |
245 00 - TITLE STATEMENT |
Title |
Affine Bernstein problems and Monge-Ampère equations / |
Statement of responsibility, etc |
An-Min Li ... [et al.]. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Hackensack, NJ : |
Name of publisher, distributor, etc |
World Scientific, |
Date of publication, distribution, etc |
c2010. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xii, 180 p. : |
Other physical details |
ill. ; |
Dimensions |
26 cm. |
500 ## - GENERAL NOTE |
General note |
In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It gives a selfcontained introduction to research in the last decade concerning global problems in the theory of submanifolds, leading to some types of Monge-Ampere equations.From the methodical point of view, it introduces the solution of certain Monge-Ampere equations via geometric modeling techniques. Here geometric modeling means the appropriate choice of a normalization and its induced geometry on a hypersurface defined by a local strongly convex global graph. For a better understanding of the modeling techniques, the authors give a selfcontained summary of relative hypersurface theory, they derive important PDEs (e.g. affine spheres, affine maximal surfaces, and the affine constant mean curvature equation). Concerning modeling techniques, emphasis is on carefully structured proofs and exemplary comparisons between different modelings. |
505 ## - FORMATTED CONTENTS NOTE |
Contents |
Local Equiaffine Hypersurface Theory; Pogorelov's Theorem; Affine Maximal Hypersurfaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Affine differential geometry. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Monge-Ampère equations. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Li, An-Min, |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
General Books |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. 173-177) and index. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Dates associated with a name |
1946- |