Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The issues of the nature and existence of God, time and infinity, respectively, and how they relate to each other, are some of the most complicated problems of metaphysics.This volume presents contributions of thirteen internationally renowned scholars who deal with various aspects of these complex issues. The contributions were presented and discussed during the international conference: God, Time, Infinity held in Warsaw, September 22-24, 2015.

God. --- Time. --- Infinite. --- Metaphysics. --- god. --- infinity. --- philosophy of religion.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometric group theory. --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory. --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Hyperbolic groups and nonpositively curved groups. --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Asymptotic properties of groups. --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Generators, relations, and presentations. --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Solvable groups, supersolvable groups. --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Nilpotent groups. --- Group theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphisms. --- Group theory and generalizations -- Structure and classification of infinite or finite groups -- Groups acting on trees. --- Group theory and generalizations -- Structure and classification of infinite or finite groups -- Residual properties and generalizations; residually finite groups. --- Manifolds and cell complexes -- Low-dimensional topology -- Topological methods in group theory. --- Geometric group theory --- Group theory --- Algebra

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

Mathematics. --- Convex geometry. --- Discrete geometry. --- Polytopes. --- Projective geometry. --- Convex and Discrete Geometry. --- Projective Geometry. --- Discrete groups. --- Groups, Discrete --- Infinite groups --- Discrete mathematics --- Geometry, Modern --- Geometry, Plane. --- Plane. --- Plane geometry --- Convex geometry . --- Geometry --- Projective geometry --- Hyperspace --- Topology --- Combinatorial geometry --- Geometry, Projective.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Space and time --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Research.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization. The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find state-of-the-art surveys and an open problem collection. .

Mathematics. --- Convex geometry. --- Discrete geometry. --- Polytopes. --- Mathematical optimization. --- Combinatorics. --- Convex and Discrete Geometry. --- Optimization. --- Geometry --- Combinatorial geometry --- Math --- Science --- Discrete groups. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Combinatorics --- Algebra --- Groups, Discrete --- Infinite groups --- Discrete mathematics --- Convex geometry . --- Hyperspace --- Topology --- Combinatorial analysis.