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#### The Cube-A Window to Convex and Discrete Geometry

Cambridge University Press 2006; US$ 104.00 US$ 85.28Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory. more...

#### Convex and Discrete Geometry

Springer Berlin Heidelberg 2007; US$ 149.00Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical... more...

#### Theory of Convex Structures

Elsevier Science 1993; US$ 72.95Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) and of geodesically convex sets (Menger) are directly... more...

#### An Easy Path to Convex Analysis and Applications

Morgan & Claypool Publishers 2013; US$ 50.00Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical f more...

#### Convex Analysis

CRC Press 2014; US$ 79.95Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics. Convex Analysis introduces... more...

#### Handbook of Convex Geometry

Elsevier Science 2014; US$ 275.00Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets. The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. Topics include elementary... more...

#### Handbook of Convex Geometry

Elsevier Science 2014; US$ 270.00Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions... more...

#### Geometry - Intuitive, Discrete, and Convex

Springer Berlin Heidelberg 2015; US$ 119.00The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors... more...

#### Notions of Convexity

Birkhäuser Boston 2007; US$ 89.99The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri-)subharmonic functions,... more...

#### Generalized Curvatures

Springer Berlin Heidelberg 2008; US$ 149.00The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , endowed with its standard N scalar product. LetG be... more...