Cargando…
Convex Bodies.
A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2013.
|
| Edición: | 2nd ed. |
| Colección: | Encyclopedia of mathematics and its applications.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn913796948 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 150711s2013 nyu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCO |d OCLCQ |d SFB |d OCLCO |d OCLCF |d OCLCO |d OCLCQ |d OCLCO | ||
| 020 | |a 9781107465527 | ||
| 020 | |a 1107465524 | ||
| 029 | 1 | |a AU@ |b 000056104659 | |
| 035 | |a (OCoLC)913796948 | ||
| 050 | 4 | |a QA649 | |
| 082 | 0 | 4 | |a 516.3 |a 516.3/74 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Schneider, Rolf. | |
| 245 | 1 | 0 | |a Convex Bodies. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York : |b Cambridge University Press, |c 2013. | ||
| 300 | |a 1 online resource (760 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of Mathematics and its Applications ; |v v. 151 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface to the second edition; Preface to the first edition; General hints to the literature; Conventions and notation; 1 Basic convexity; 1.1 Convex sets and combinations; 1.2 The metric projection; 1.3 Support and separation; 1.4 Extremal representations; 1.5 Convex functions; 1.6 Duality; 1.6.1 Duality of convex sets; 1.6.2 Duality of convex functions; 1.7 Functions representing convex sets; 1.7.1 The support function; 1.7.2 Further representing functions; 1.8 The Hausdorff metric; 2 Boundary structure; 2.1 Facial structure; 2.2 Singularities; 2.3 Segments in the boundary. | |
| 505 | 8 | |a 2.4 Polytopes2.5 Higher regularity and curvature; 2.6 Generalized curvatures; 2.7 Generic boundary structure; 3 Minkowski addition; 3.1 Minkowski addition and subtraction; 3.2 Summands and decomposition; 3.3 Additive maps; 3.4 Approximation and addition; 3.5 Minkowski classes and additive generation; 4 Support measures and intrinsic volumes; 4.1 Local parallel sets; 4.2 Steiner formula and support measures; 4.3 Extensions of support measures; 4.4 Integral-geometric formulae; 4.5 Local behaviour of curvature and area measures; 5 Mixed volumes and related concepts. | |
| 505 | 8 | |a 5.1 Mixed volumes and mixed area measures5.2 Extensions of mixed volumes; 5.3 Special formulae for mixed volumes; 5.3.1 Formulae involving curvature functions; 5.3.2 Formulae involving integrations; 5.3.3 Formulae for generalized zonoids; 5.4 Moment vectors, curvature centroids, Minkowski tensors; 5.4.1 Moment vectors and curvature centroids; 5.4.2 Minkowski tensors; 5.5 Mixed discriminants; 6 Valuations on convex bodies; 6.1 Basic facts and examples; 6.2 Extensions; 6.3 Polynomiality; 6.4 Translation invariant, continuous valuations; 6.5 The modern theory of valuations. | |
| 505 | 8 | |a 7 Inequalities for mixed volumes7.1 The Brunn-Minkowski theorem; 7.2 The Minkowski and isoperimetric inequalities; 7.3 The Aleksandrov-Fenchel inequality; 7.4 Consequences and improvements; 7.5 Wulff shapes; 7.6 Equality cases and stability; 7.7 Linear inequalities; 8 Determination by area measures and curvatures; 8.1 Uniqueness results; 8.2 Convex bodies with given surface area measures; 8.2.1 Minkowski's existence theorem; 8.2.2 Blaschke addition; 8.3 The area measure of order one; 8.3.1 The length measure in the plane; 8.3.2 The Christoffel problem; 8.4 The intermediate area measures. | |
| 505 | 8 | |a 8.5 Stability and further uniqueness results9 Extensions and analogues of the Brunn-Minkowski theory; 9.1 The Lp Brunn-Minkowski theory; 9.2 The Lp Minkowski problem and generalizations; 9.3 The dual Brunn-Minkowski theory; 9.4 Further combinations and functionals; 9.5 Log-concave functions and generalizations; 9.6 A glimpse of other ramifications; 10 Affine constructions and inequalities; 10.1 Covariogram and difference body; 10.2 Qualitative characterizations of ellipsoids; 10.3 Steiner symmetrization; 10.4 Shadow systems; 10.5 Curvature images and affine surface areas. | |
| 520 | |a A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Convex bodies. | |
| 650 | 4 | |a Convex bodies. | |
| 650 | 6 | |a Corps convexes. | |
| 650 | 7 | |a Convex bodies |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Schneider, Rolf. |t Convex Bodies: The Brunn-Minkowski Theory. |d New York : Cambridge University Press, ©2013 |z 9781107601017 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1543594 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1543594 | ||
| 994 | |a 92 |b IZTAP | ||