Download or read book Affine regular Polygons Inscribed in Plane Convex Sets written by B. Grunbaum and published by . This book was released on 1959 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Affine regular Polygons Inscribed in Plane Convex Sets written by B. Grunbaum and published by . This book was released on 1959 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Covering Among Constant Relative Width Bodies in the Plane written by Peter Van Wyck Loomis and published by . This book was released on 1980 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book U S Government Research Reports written by and published by . This book was released on 1959 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Convexity written by Victor Klee and published by American Mathematical Soc.. This book was released on 1963 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Convex Sets written by Frederick Albert Valentine and published by . This book was released on 1964 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bodies of Constant Width written by Horst Martini and published by Springer. This book was released on 2019-03-16 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evolutes, etc.) Bodies of constant width in topology (hyperspaces, transnormal manifolds, fiber bundles, and related topics) The notion of constant width in discrete geometry (referring to geometric inequalities, packings and coverings, etc.) Technical applications, such as film projectors, the square-hole drill, and rotary engines Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry.

Download or read book Research Problems in Discrete Geometry written by Peter Brass and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1959 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebra i analiz written by and published by . This book was released on 2005 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book St Petersburg Mathematical Journal written by and published by . This book was released on 2006 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Intuitive Geometry written by K. Böröczky and published by Elsevier Science & Technology. This book was released on 1987 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. Problems in discrete geometry, convexity and combinatorial geometry are examined in this volume. Some of the topics addressed include crystallography, classical differential geometry and rigidity theory. Other papers discuss the connections of geometry with biology, architecture, arts, and even psychology.

Download or read book Convexity and Its Applications written by GRUBER and published by Birkhäuser. This book was released on 2013-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of surveys consists in part of extensions of papers presented at the conferences on convexity at the Technische Universitat Wien (July 1981) and at the Universitat Siegen (July 1982) and in part of articles written at the invitation of the editors. This volume together with the earlier volume «Contributions to Geometry» edited by Tolke and Wills and published by Birkhauser in 1979 should give a fairly good account of many of the more important facets of convexity and its applications. Besides being an up to date reference work this volume can be used as an advanced treatise on convexity and related fields. We sincerely hope that it will inspire future research. Fenchel, in his paper, gives an historical account of convexity showing many important but not so well known facets. The articles of Papini and Phelps relate convexity to problems of functional analysis on nearest points, nonexpansive maps and the extremal structure of convex sets. A bridge to mathematical physics in the sense of Polya and Szego is provided by the survey of Bandle on isoperimetric inequalities, and Bachem's paper illustrates the importance of convexity for optimization. The contribution of Coxeter deals with a classical topic in geometry, the lines on the cubic surface whereas Leichtweiss shows the close connections between convexity and differential geometry. The exhaustive survey of Chalk on point lattices is related to algebraic number theory. A topic important for applications in biology, geology etc.

Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1959 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Surveys on Discrete and Computational Geometry written by Jacob E. Goodman and published by American Mathematical Soc.. This book was released on 2008 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference Discrete and Computational Geometry--Twenty Years Later, held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.

Download or read book Collier s Encyclopedia written by Louis Shores and published by . This book was released on 1964 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Discrete Geometry and Optimization written by Károly Bezdek and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to further stimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tóth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified this approach. While these fields have recently witnessed a lot of activity and successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial time algorithm for linear optimization is one of the most important unsolved problems at the beginning of the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections between different approaches, and features novel results and state-of-the-art surveys as well as open problems.