Handbook of convex geometry
edited by P. M. Gruber, J. M. Wills.
Amsterdam : North-Holland, 1993.
2 vols. (1438, lxvi págs.) : ilustraciones ; 25 cm.
ISBN: 0444895981 (set), 0444895965 (vol. A), 0444895973 (vol. B)
Incluye referencias bibliográficas e índices.
Reseña: MathSciNet, 94e:52001
Contenido
- Contenido (vol. A): Peter M. Gruber, History of convexity
- Peter Mani-Levitska, Characterizations of convex sets
- J. R. Sangwine-Yager, Mixed volumes
- Giorgio Talenti, The standard isoperimetric theorem
- H. Groemer, Stability of geometric inequalities
- Erwin Lutwak, Selected affine isoperimetric inequalities
- A. Florian, Extremum problems for convex discs and polyhedra
- Robert Connelly, Rigidity
- Rolf Schneider, Convex surfaces, curvature and surface area measures
- Peter M. Gruber, The space of convex bodies
- Peter M. Gruber, Aspects of approximation of convex bodies
- E. Heil and H. Martini [Horst Martini], Special convex bodies
- Jürgen Eckhoff, Helly, Radon, and Carathéodory type theorems
- Peter Schmitt, Problems in discrete and combinatorial geometry
- Margaret M. Bayer and Carl W. Lee, Combinatorial aspects of convex polytopes
- U. Brehm and J. M. Wills, Polyhedral manifolds
- J. Bokowski, Oriented matroids
- G. Ewald, Algebraic geometry and convexity
- Peter Gritzmann and Victor Klee, Mathematical programming and convex geometry
- Rainer E. Burkard, Convexity and discrete optimization
- Herbert Edelsbrunner, Geometric algorithms.
- Contenido (vol. B): Peter M. Gruber, Geometry of numbers
- Peter Gritzmann and Jörg M. Wills, Lattice points
- Gábor Fejes Tóth and W\l odzimierz Kuperberg, Packing and covering with convex sets
- Peter Gritzmann and Jörg M. Wills, Finite packing and covering
- Egon Schulte, Tilings
- Peter McMullen, Valuations and dissections
- Peter Engel, Geometric crystallography
- Kurt Leichtweiß, Convexity and differential geometry
- A. W. Roberts, Convex functions
- Ursula Brechtken-Manderscheid and Erhard Heil, Convexity and calculus of variations
- Giorgio Talenti, On isoperimetric theorems of mathematical physics
- J. Lindenstrauss and V. D. Milman [Vitali D. Milman], The local theory of normed spaces and its applications to convexity
- Pier Luigi Papini, Nonexpansive maps and fixed points
- Vlastimil Pták, Critical exponents
- H. Groemer, Fourier series and spherical harmonics in convexity
- Paul Goodey and Wolfgang Weil, Zonoids and generalisations
- Peter M. Gruber, Baire categories in convexity
- Rolf Schneider and John A. Wieacker, Integral geometry
- Wolfgang Weil and John A. Wieacker, Stochastic geometry.