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London Mathematical Society Lecture Note Series

ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the;

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An Introduction to Convex Polytopes

The aim of this book is to introduce the reader to the fascinating world of convex polytopes. The highlights of the book are three main;

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Polytopes and Discrete Geometry

: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and;

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Lectures on Discrete Geometry

The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements;

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Geometric Applications of Fourier Series and Spherical Harmonics

projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make;

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Geometric Applications of Fourier Series and Spherical Harmonics

projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make;

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Introduction to Toric Varieties. (AM-131), Volume 131

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean;

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Binomial Ideals

short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the;

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Binomial Ideals

short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the;

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Geometry of Convex Sets

A gentle introduction to the geometry of convex sets in n -dimensional space Geometry of Convex Sets begins with basic definitions of the;

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Pairs of Compact Convex Sets

convexity G. Ewald et al. [36] used an interesting construction called virtual polytope, which can also be represented as a pair of polytopes for;

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Fundamentals of Convex Analysis

Wissenschaften Vol. 305 and 306). It presents an introduction to the basic concepts in convex analysis and a study of convex minimization problems (with;

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Undergraduate Convexity

introduction to convex sets and convex functions with emphasis on concrete computations and examples.Starting from linear inequalities and Fourier;

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Even Convexity and Optimization

This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly;

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Even Convexity and Optimization

This tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly;

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Polytopes, Rings, and K-Theory

sight, polytopes, by their very nature, must appear alien to surveyors of this heartland of algebra. But in the presence of a discrete structure;

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Abstract Regular Polytopes

polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive;

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Convex Functions and Their Applications

Thorough introduction to an important area of mathematics Contains recent results Includes many exercises;

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Algebraic And Geometric Combinatorics On Lattice Polytopes - Proceedings Of The Summer Workshop On Lattice Polytopes

materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.;

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Computing the Continuous Discretely

presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex;

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Computing the Continuous Discretely

presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex;

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Introduction to the Theory of Valuations

conference ``Introduction to the Theory of Valuations on Convex Sets''. Only a basic background in general convexity is assumed.;

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An Easy Path to Convex Analysis and Applications

is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques;

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Convex and Set-Valued Analysis

-dimensional spaces A problem of linear programming More about convex sets and convex hulls Part II: Set-valued analysis Introduction to the theory;

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Convex Analysis

as an introduction, indicating which parts are essential and which may be skipped on a first reading.;

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Elements of Concave Analysis and Applications

introduction to concepts and detailed study of concave and convex functions. It is written in the style of a textbook, designed for courses;

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Convex Analysis for Optimization

This textbook offers graduate students a concise introduction to the classic notions of convex optimization. Written in a highly accessible;

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